MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 40.9 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At α = 0.08, can you reject the company's claim? Complete parts (a) through (e). Fail to reject Ho- Reject Ho Z= Q Q (c) Find the standardized test statistic. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. (...) Fail to reject Ho- Q Fail to reject Ho Reject Ho A A Reject Ho Reject Ho O A. Since z is not in the rejection region, fail to reject the null hypothesis. OB. Since z is not in the rejection region, reject the null hypothesis. OC. Since z is in the rejection region, fail to reject the null hypothesis. O D. Since z is in the rejection region, reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 8% significance level, there enough evidence to the company's claim that the mean caffeine content per 12-ounce bottle of cola Q milligrams.
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Transcribed Image Text:A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 40.9 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At α = 0.08, can you reject the company's claim? Complete parts (a) through (e). Fail to reject Ho- Reject Ho Z= Q Q (c) Find the standardized test statistic. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. (...) Fail to reject Ho- Q Fail to reject Ho Reject Ho A A Reject Ho Reject Ho O A. Since z is not in the rejection region, fail to reject the null hypothesis. OB. Since z is not in the rejection region, reject the null hypothesis. OC. Since z is in the rejection region, fail to reject the null hypothesis. O D. Since z is in the rejection region, reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 8% significance level, there enough evidence to the company's claim that the mean caffeine content per 12-ounce bottle of cola Q milligrams.
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 40.9 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At a = 0.08, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H₂. Choose the correct answer below. OA. Ho: μ#40.9 H₂: H=40.9 OC. Ho: μ#40 Ha: H=40 O E. Ho: 240.9 Ha: H<40.9 Identify the rejection region(s). Choose the correct answer below. O A. Fail to reject Ho- Q Q (b) Find the critical value(). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) OA. The critical values are + OB. The critical value is OB. (...) Fail to reject Ho OB. Ho: μ=40 H₂:μ#40 O D. Ho: 240 Ha: <40 OF. Ho: H=40.9 Ha: μ#40.9 Q Q O C. Fail to reject Ho Q Q
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Transcribed Image Text:A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 40.9 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At a = 0.08, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H₂. Choose the correct answer below. OA. Ho: μ#40.9 H₂: H=40.9 OC. Ho: μ#40 Ha: H=40 O E. Ho: 240.9 Ha: H<40.9 Identify the rejection region(s). Choose the correct answer below. O A. Fail to reject Ho- Q Q (b) Find the critical value(). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) OA. The critical values are + OB. The critical value is OB. (...) Fail to reject Ho OB. Ho: μ=40 H₂:μ#40 O D. Ho: 240 Ha: <40 OF. Ho: H=40.9 Ha: μ#40.9 Q Q O C. Fail to reject Ho Q Q
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Step 2: Find null and alternative hypotheses:
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Step 3: Find critical values and critical region:
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Step 4: Find test statistic:
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Step 5: Find the decision:
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Step 6: Explain interpretation:
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