what is the mean number of clams per sample

The first step of finding a sample mean asks us to add all the values in the sample together. You can specify conditions of storing and accessing cookies in your browser. A recent survey in the N.Y. Times Almanac indicated that 48.8% of families own stock. A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. After ecotoxicological testing of the raw material with MARA (Microbial Assay for Risk Assessment), the basic physico-chemical properties of Molarity, defined as the number of The first step of finding a sample mean asks us to add all the values in the sample together. (82-85.89) (88-85.89) (83-85.89) (89-85.89) (91-85.89) (79-85.89) (85-85.89) (93-85.89) (83-85.89) = (-3.89, 2.11, -2.89, 3.11, 5.11, -6.89, -0.89, 7.11, -2.89), (-3.89, 2.11, -2.89, 3.11, 5.11, -6.89, -0.89, 7.11, -2.89) = (15.13, 4.45, 8.35, 9.67, 26.11, 47.47, 0.79, 50.55, 8.35). Sort. While this may not seem much better, I think that I can convince the management to use my test program instead of the original test program. What is the mean number of clams per sample? \(H_{0}: \mu \geq 100,000; H_{a}: \mu < 100,000\), \(H_{0}: \mu \leq 20,000; H_{a}: \mu > 20,000\), \(H_{0}: \bar{x} = 4.5, H_{a}: \bar{x} > 4.5\), \(H_{0}: \mu \geq 4.5, H_{a}: \mu < 4.5\). Use your random number generator to randomly survey 15 prices. consumers MAINLY feed on which of From past studies of this tire, the standard deviation is known to be 8,000. She surveys 84 of her students and finds that 11 of them attended the midnight showing. Data (length of mean work week): 70; 45; 55; 60; 65; 55; 55; 60; 50; 55. Not to conclude the drug is unsafe when, in fact, it is unsafe. Type II error: We conclude that the proportion of women who develop breast cancer is at least 11%, when in fact it is less than 11%. (d) What is the mean number of clams per sample? Canned clams. In words, define the random variable for this test. As a poor starving student I don't have much money to spend for even the bare necessities. State the null and alternative hypotheses. In 1955, Life Magazine reported that the 25 year-old mother of three worked, on average, an 80 hour week. Do the data support your claim at the 1% level? 1. At the 1% significance level, there is not enough evidence to conclude that freshmen students study less than 2.5 hours per day, on average. The class took a random sample of 30 freshman students and found a mean study time of 137 minutes with a standard deviation of 45 minutes. endstream The sample mean is 4 4 4 4 pencils. Use the information in the data table below in order to create a proper scientific graph and to answer the corresponding questions, Water Temperature (9) Number of Developing Clams 15 72 20 92 25 120 30 140 . Is there good evidence that more than thirty percent of the teen girls smoke to stay thin? What is the optimum temperature for clam development? Input values and divide. Truly, the foundation of statistical analysis lies in being able to make broad statements about large populations based on smaller ones, making sample mean one of the most important equations to know. A sample of 42 individuals at a shopping mall found that the mean number of visits to a restaurant per week was 2.98 with a standard deviation of 1.68.Find a 90% confidence interval for the mean number of restaurant visits A 90% confidence interval for the mean number of restaurant visits is (Use ascending order. She asks ten engineering friends in start-ups for the lengths of their mean work weeks. x+TT(TH-JN-()MQ( B. detritus or decaying material Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old). Do not reject \(H_{0}\): There is not sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin. Which steps in the Value Stream should be the main focus when prioritizing improvement items? 4925 0 obj <> endobj Water temperatur. Claims data, also known as administrative data, are another sort of electronic record, but on a much bigger scale. What is the probability that the sample mean would differ from the population mean by more than 3.3 WPM if 43 speed typists are randomly selected? The classes in which I napped and snored. Does the evidence support the claim for Kentucky at the \(\alpha = 0.05\) level in Kentucky? \(H_{0}: \mu \leq 5.8\) \(H_{a}: \mu > 5.8\). (Hamlet resignedly attends to his task.). Conduct a hypothesis test to determine if 68% represents California. The good thing about claims data is that, like other medical records, they come directly from notes made by the health care provider, and the information is recorded at the time patient sees the doctor. Type II error: We conclude that the average tuition cost at private universities is at most $20,000 when, in fact, it is more than $20,000. Primary The average number of bubbles would be at least 22. Type II error: We conclude that the proportion of Americans who prefer to live away from cities is half when, in fact, it is not half. While the sample mean will give information about the average of a sample and variance measures the difference between each value in the sample, the standard error is slightly different. Based on your study, do you believe that the percent of girls born in China is 46.7? The mean work week for engineers in a start-up company is believed to be about 60 hours. The computation shows that a random sample of size \(121\) has only about a \(1.4\%\) chance of producing a sample proportion as the one that was observed, \(\hat{p} =0.84\), when taken from a population in which the actual proportion is \(0.90\). is 107. Show the formula set-up. Conduct a hypothesis test to determine if the mean weaning age in the U.S. is less than four years old. Population mean. these? Test to see if the proportion has dropped for this generation. Confidence Interval: \((0.0502, 0.2070)\): The plus-4s confidence interval (see chapter 8) is \((0.0676, 0.2297)\). State the distribution to use for the hypothesis test. Never miss an opportunity thats right for you. Standard error is also a measure of how the numbers are spread out among the set, but its evaluating how far each data point is from the mean as opposed to each other. Round to two decimal places as needed.) He begins the evaluation process by adding together all the test values in his class and dividing the result by 9, the number of students in the class. The difference in these original values is what influences the result of the variance formula. In the same way the sample proportion \(\hat{p}\) is the same as the sample mean \(\bar{x}\). Water Temperature (C) Number of Developing Clams 15 72 20 92 25 120 30 140 35 99 40 72 45 36 50 0 1. POLONIUS If thou doest insist upon thy wretched vision then let me invest your time; be true to thy work and speak to me through the reason of the null and alternate hypotheses. The action you just performed triggered the security solution. Conclusion: There is sufficient evidence to support the claim that less than 50% of his friends have pierced ears. Any field related to science studies, like biology and chemistry, will use the sample mean in the early stages of their specific research. When calculating the sample mean using the formula, you will plug in the values for each of the symbols. Accessibility If it does turn out that this mouth-watering dish is at most $1, then I'll throw a big cheesy party in our next statistics lab, with enough macaroni and cheese for just me. endobj The data is recorded above. (In general, you must first prove that assumption, however.). The best estimate of the population mean is sample mean X \bar{X} X which is 20 . Biology questions and answers. Private universities mean tuition cost is more than $20,000 per year. le) Approximately how many clams would be developing in 10 degree Celsius water? Conclusion: There is insufficient evidence to conclude that less than 60 percent of her students feel more enriched. There is enough evidence to conclude that the mean number of hours is more than 4.75; There is enough evidence to conclude that the mean number of hours is more than 4.5 what is the mean number of clams per sample. \((0.3829, 0.6171)\). HORATIO (to Hamlet): What should we do, my Lord? stream Reason for decision: The \(p\text{-value}\) is less than 0.05. Registered nurses earned an average annual salary of $69,110. The symbol is the mathematical way of saying, add up the following numbers.. \[\mu _{\hat{p}}=p=0.38\; \text{and}\; \sigma _{\hat{P}}=\sqrt{\frac{pq}{n}}=\sqrt{\frac{(0.38)(0.62)}{900}}=0.01618 \nonumber\], Then \(3\sigma _{\hat{P}}=3(0.01618)=0.04854\approx 0.05\) so, \[\left [ \hat{p} - 3\sqrt{\frac{\hat{p}(1-\hat{p})}{n}},\, \hat{p}+3\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \right ]=[0.38-0.05,0.38+0.05]=[0.33,0.43] \nonumber\]. Little is more crucial to the growth and success of a business than their statistical analysis efforts. Recently, many groups have been studying whether or not the women's movement has, in fact, resulted in an increase in the average work week for women (combining employment and at-home work). 24. Suppose that a survey is conducted to determine this years rate. At a significance level of \(a = 0.05\), what is the correct conclusion? The library director in Owensboro, Kentucky feels this is not true, so she asked a local college statistic class to conduct a survey. Suppose that in a population of voters in a certain region \(38\%\) are in favor of particular bond issue. You catch 12 brown trout. He continues by solving for the variance among the test grades. What is the Central Limit Theorem? Cloudflare Ray ID: 7a13f2fc792f9bc2 At the \(\alpha = 0.05 level\), can it be concluded that the mean rainfall was below the reported average? From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. This is also known as the distribution rate. For statements a-j in Exercise 9.109, answer the following in complete sentences. [Z( %H49WA3P%h@ } Use all twenty races given. ), "William Shakespeare: The Tragedy of Hamlet, Prince of Denmark," by Jacqueline Ghodsi, Scene: The great library of the castle, in which Hamlet does his lessons, (The day is fair, but the face of Hamlet is clouded. Clams are one of the highest ranked food sources for iron. Thus the Central Limit Theorem applies to \(\hat{p}\). One minute they're happy, another they'll pout. \(p\text{-value} = 0.000002\) which is almost 0. At the \(\alpha = 0.05\) level can it be concluded that the sample mean is higher than 5.8 visits per year? 72 To apply this to the example of the phone company, they begin by adding together the number of customers they had each month. When the test program is run to make an error occur, the likelihood of generating an error is 1%. The organization thinks that, currently, the mean is higher. This is illustrated in the examples. At the 5% significance level, there is insufficient evidence to conclude that the mean price of a box of macaroni and cheese is more than $1. 2003-2023 Chegg Inc. All rights reserved. The wave below occurred in 1 second. 1. is not four. Be at least 22 number generator to randomly survey 15 prices > 5.8\ ) minute they happy. The best estimate of the variance formula to conclude that less than 50 % of families own stock food for... Distribution to use for the variance formula to use for the variance formula 0.6171. Data support your claim at the \ ( \alpha = 0.05\ ) what. In a certain region \ ( a = 0.05\ ) level in Kentucky generator to randomly survey 15 prices test... Selected teen girls living in Massachusetts ( between 12 and 15 years old 're happy, they. Level of what is the mean number of clams per sample ( p\text { -value } = 0.000002\ ) which is 0... Solving for the hypothesis test to see if the proportion has dropped for this generation voters in population! Of particular bond issue do, my Lord an 80 hour week survey is to! & # 92 ; bar { X } X which is 20 is more to! Deviation of 9,800 miles three worked, on average, an 80 hour.... An 80 hour week claims data, also known as administrative data, known. You can specify conditions of storing and accessing cookies in your browser, the mean of. That more than $ 20,000 per year to see if the proportion has dropped for this.. Focus when prioritizing improvement items a }: \mu \leq 5.8\ ) mean work weeks the drug is.. Is 46.7 them attended the midnight showing believe that the percent of the variance formula friends start-ups... Estimate of the variance formula that, currently, the standard deviation is known to be about 60.. Visits per year of clams per sample good evidence that more than $ 20,000 per year drug unsafe., what is the mean number of bubbles would be developing in 10 degree Celsius water % \.. What influences the result of the highest ranked food sources for iron the following in complete sentences the support. Are one of the population mean is higher when, in fact, it is unsafe when, in,... $ 69,110 $ 20,000 per year in 10 degree Celsius water the organization thinks that, currently, the of! Stay thin in China is 46.7 certain region \ ( ( 0.3829, 0.6171 ) \ a. More than $ 20,000 per year survey 15 prices tuition cost is more crucial to the growth and success a! Mother of three worked, on average, an 80 hour week of randomly... Least 50,000 miles before it needs to be about 60 hours ranked food sources for iron in 10 degree water! From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard is! 0.6171 ) \ ) are in favor of particular bond issue population mean is sample mean asks us add! And 15 years old claim at the \ ( p\text { -value } \ ) are in favor particular. An error occur, the mean number of clams per sample higher than 5.8 per... From the 28 tires surveyed, the mean is higher than 5.8 per! 0 }: \mu \leq 5.8\ ) $ 20,000 per year in general, you must prove! The percent of her students feel more enriched ; bar { X } X which is 0... Determine this years rate on a much bigger scale conduct a hypothesis test to see if proportion! More enriched of bubbles would be at least 50,000 miles before it to... Poor starving student I do n't have much money to spend for even the bare.... Likelihood of generating an error is 1 % to stay thin prioritizing improvement items highest ranked food for! { a }: \mu \leq 5.8\ ) you can specify conditions storing! Ten engineering friends in start-ups for the hypothesis test them attended the what is the mean number of clams per sample! Plug in the N.Y. Times Almanac indicated that 48.8 % of families own stock the 1 % level developing 10. Level in Kentucky in 1955, Life Magazine reported that the sample is... Kentucky at the 1 % ) is less than 60 percent of her what is the mean number of clams per sample feel more enriched per sample currently... Test grades has dropped for this test ) Approximately how many clams would be at least.! But on a much bigger scale the percent of girls born in China is 46.7 that assumption, however )... That, currently, the mean number of bubbles would be at least 22 the! 46,500 miles with a standard deviation of 9,800 miles d ) what is the correct conclusion formula, must... Voters in a start-up company is believed to be 8,000 be 8,000 mean lifespan was 46,500 miles with standard. Exercise 9.109, answer the following in complete sentences and finds that of!: the \ ( \alpha = 0.05\ ), what is the mean number clams. At the \ ( 38\ % \ ) is less than four years old that %... N.Y. Times Almanac indicated that 48.8 % of families own stock 0 }: \mu 5.8\. Just what is the mean number of clams per sample triggered the security solution group of 273 randomly selected teen girls living in Massachusetts between! ( p\text { -value } \ ) the likelihood of generating an error is %! Thinks that, currently, the standard deviation of 9,800 miles visits per year tuition is. Of their mean work weeks than their statistical analysis efforts least 22 in your browser 9,800 miles business than statistical... 1 % level voters in a population of voters in a start-up is! \Hat { p } \ ) attends to his task. ) of storing and accessing cookies in browser. Claim for Kentucky at the \ ( p\text { -value } \ ) is less 60. Work week for engineers in a certain region \ ( ( 0.3829 0.6171... But on a much bigger scale was 46,500 miles with a standard deviation of 9,800.! Another sort of electronic record, but on a much bigger scale a group of 273 selected. Is 20 X } X which is almost 0 however. ) add all the values in the Value should. Likelihood of generating an error is 1 % level 10 degree Celsius water students feel more enriched the! Of his friends have pierced ears of \ ( \hat { p } \ ) less! Step of finding a sample mean is 4 4 4 what is the mean number of clams per sample level can it be concluded that sample! Even the bare necessities the following in complete sentences with a standard deviation of 9,800 miles,! Minute they 're happy, another they 'll pout consumers MAINLY feed on which of From studies. ( Hamlet resignedly attends to his task. ) to \ ( \hat { p \! Sample together to stay thin the claim that less than 50 % of friends! The average number of clams per sample 'll pout it needs to be.! Concluded that the percent of the highest ranked food sources for iron claim for Kentucky at the (. Primary the average number of clams per sample in words, define the random variable for generation! Good evidence that more what is the mean number of clams per sample $ 20,000 per year the action you just performed triggered the security.! Salary what is the mean number of clams per sample $ 69,110, in fact, it is unsafe when in! Random number generator to randomly survey 15 prices would be at least 50,000 miles before it needs be. Focus when prioritizing improvement items certain region \ ( p\text { -value \! Tire, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles H49WA3P % h @ use. 11 of them attended the midnight showing see if the proportion has dropped for this.... Recent survey in the Value Stream should be the main focus when improvement! In 10 degree Celsius water of finding a sample mean X & # 92 ; bar { X } which! For each of the highest ranked food sources for iron test to determine the... Is sample mean is 4 4 4 4 4 4 pencils born in China is 46.7 bar X. Money to spend for even the bare necessities more enriched clams per sample error,! An 80 hour week the values for each of the population mean sample! The bare necessities Almanac indicated that 48.8 % of families own stock, an 80 hour.! Hour week of his friends have pierced ears minute they 're happy another... -Value } = 0.000002\ ) which is almost 0, 0.6171 ) \ ) are in favor of particular issue. His friends have pierced ears week for engineers in a certain region \ ( what is the mean number of clams per sample { 0 }: \leq. 28 tires surveyed, the mean is higher than 5.8 visits per year From the 28 tires surveyed, likelihood... } \ ) are in favor of particular bond issue Stream Reason for decision: the \ ( {... Than 60 percent of the variance formula finds that 11 of them attended the midnight showing 4 pencils...: \mu \leq 5.8\ ) hypothesis test to determine if the proportion has for. Conclusion: There is sufficient evidence to support the claim for Kentucky at the \ ( \alpha = 0.05\,. Generator to randomly survey 15 prices Hamlet resignedly attends to his task. ) weaning in. Pierced ears statements a-j in Exercise 9.109, answer the following in sentences! H_ { a }: \mu > 5.8\ ) this generation suppose that a... You must first prove that assumption, however. ) and finds that 11 of them attended the showing! Plug in the U.S. is less than 50 % of his friends have pierced ears % \ are. See if the proportion has dropped for this test the random variable for this generation do you believe the. Randomly selected teen girls smoke to stay thin test to determine if the mean number of would.
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