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A national newspaper reported that the state with the longest mean ife span is Hawal, here the population mean fe span is 75 years. A random sample of 20 obituary notices in the Monolu Advertuer gave the folowing information about ife span (in years) of Honolulu residents. 72 68 81 93 56 19 78 4 3 4 47 66 22 75 (0 Use a calculater with sample mean and standard deviation keys to find and s. (Round your answers to two decimal places.) (1) Assuming that e span in Honelutu is approximately normaly distributed, deoes this information indicate that the populatien mean ite span for Henalulu residents is less than 75 years Use a s level of significance. (0) What is the level ef signtcance M State the null and alternate hypotheses OM- 75 yr; H 75 yr OM 75 yr; H 75 yr OM 75 yr 75 y OMi 75 yri 75 y OM 75 r 5 y (b) what sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student'st, since we assume that x has a normal distribution and e is known O The standerd normal, since we assume thathas a nermal distribution and eis known O The standard normal, since we assume that x has a normal distribution and e is unknown O The Student's , since we assume that xhas a normal distribution and e is unknewn. What is the value of the sample test statistic (Round your anwer to three decimal places () Find the Pvalue. (Round your answer to four decmal places.) Sketch the sampling distribution and show the area corresponding to the Avalue.

A national newspaper reported that the state with the longest mean ife span is Hawal, here the population mean fe span is 75 years. A random sample of 20 obituary notices in the Monolu Advertuer gave the folowing information about ife span (in years) of Honolulu residents. 72 68 81 93 56 19 78 4 3 4 47 66 22 75 (0 Use a calculater with sample mean and standard deviation keys to find and s. (Round your answers to two decimal places.) (1) Assuming that e span in Honelutu is approximately normaly distributed, deoes this information indicate that the populatien mean ite span for Henalulu residents is less than 75 years Use a s level of significance. (0) What is the level ef signtcance M State the null and alternate hypotheses OM- 75 yr; H 75 yr OM 75 yr; H 75 yr OM 75 yr 75 y OMi 75 yri 75 y OM 75 r 5 y (b) what sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student'st, since we assume that x has a normal distribution and e is known O The standerd normal, since we assume thathas a nermal distribution and eis known O The standard normal, since we assume that x has a normal distribution and e is unknown O The Student's , since we assume that xhas a normal distribution and e is unknewn. What is the value of the sample test statistic (Round your anwer to three decimal places () Find the Pvalue. (Round your answer to four decmal places.) Sketch the sampling distribution and show the area corresponding to the Avalue.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 75 years. A random sample of 20 obituary notices in the Honolulu Advertiser gave the following information about life span (in years) of Honolulu residents. Data: 72, 68, 85, 93, 76, 78, 74, 84, 91, 82, 77, 71, 66, 73, 84, 62, 81, 69, 63, 73 1. **Use a calculator:** - Find the sample mean and standard deviation (rounded to two decimal places). 2. **Hypothesis Testing:** - (a) Assuming that life span in Honolulu is approximately normally distributed, does this information indicate that the population mean life span for Honolulu residents is less than 75 years? Use a 5% level of significance. - (i) What is the level of significance? - **State the null and alternate hypotheses:** - \( H_0: \mu = 75 \) years; \( H_1: \mu < 75 \) years - \( H_0: \mu > 75 \) years; \( H_1: \mu = 75 \) years - \( H_0: \mu < 75 \) years; \( H_1: \mu = 75 \) years - \( H_0: \mu = 75 \) years; \( H_1: \mu \neq 75 \) years - (b) **Sampling Distribution:** - What sampling distribution will you use? Explain the rationale for your choice. - Choose between the Student's \( t \) or the standard normal distribution based on whether the standard deviation is known and whether the distribution is normal. - **Value of the sample test statistic:** (round to three decimal places) - **Find the P-value:** (round to four decimal places) 3. **Graphs:** - Graphs of sampling distributions show the area corresponding to the P-value, indicating regions under the curve that represent levels of statistical significance. 4. **Statistical Significance:** - Based on the significance level \( \alpha = 0.05 \), will you reject the null hypothesis? Consider if the data are statistically
Transcribed Image Text:A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 75 years. A random sample of 20 obituary notices in the Honolulu Advertiser gave the following information about life span (in years) of Honolulu residents. Data: 72, 68, 85, 93, 76, 78, 74, 84, 91, 82, 77, 71, 66, 73, 84, 62, 81, 69, 63, 73 1. **Use a calculator:** - Find the sample mean and standard deviation (rounded to two decimal places). 2. **Hypothesis Testing:** - (a) Assuming that life span in Honolulu is approximately normally distributed, does this information indicate that the population mean life span for Honolulu residents is less than 75 years? Use a 5% level of significance. - (i) What is the level of significance? - **State the null and alternate hypotheses:** - \( H_0: \mu = 75 \) years; \( H_1: \mu < 75 \) years - \( H_0: \mu > 75 \) years; \( H_1: \mu = 75 \) years - \( H_0: \mu < 75 \) years; \( H_1: \mu = 75 \) years - \( H_0: \mu = 75 \) years; \( H_1: \mu \neq 75 \) years - (b) **Sampling Distribution:** - What sampling distribution will you use? Explain the rationale for your choice. - Choose between the Student's \( t \) or the standard normal distribution based on whether the standard deviation is known and whether the distribution is normal. - **Value of the sample test statistic:** (round to three decimal places) - **Find the P-value:** (round to four decimal places) 3. **Graphs:** - Graphs of sampling distributions show the area corresponding to the P-value, indicating regions under the curve that represent levels of statistical significance. 4. **Statistical Significance:** - Based on the significance level \( \alpha = 0.05 \), will you reject the null hypothesis? Consider if the data are statistically
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