Please help answer all parts of my homework problem Construct a 95% confidence interval for the population mean.(Round to one decimal place as needed.)Interpret the results. Select the correct choice below and fill in the answer box to complete your choice.(Type an integer or a decimal. Do not round.)O A. It can be said that% of the population has a driving distance to work (in miles) that is between the interval's endpoints.O B. With% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.OC.% of all random samples of eleven people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.O D. With% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints. In a random sample of eleven people, the mean driving distance to work was 24.7 miles and the standard deviation was 5.5 miles. Assume the population is normallydistributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean µ. Interpret the results.Identify the margin of error.(Roue as needed.)Conmiles per hourinterval for the population mean.square miles(Roumilese as needed.)Interpret the results. Select the correct choice below and fill in the answer box to complete your choice.(Type an integer or a decimal. Do not round.)

Name: Please help answer all parts of my homework problem Construct a 95% co
Uploaded: 2024-03-20T06:46:03.000Z
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Description: Please help answer all parts of my homework problem Construct a 95% confidence interval for the population mean.(Round to one decimal place as needed.)Interpret the results. Select the correct choice below and fill in the answer box to complete your

From the provided information, Sample size (n) = 11 Sample mean (x̅) = 24.7 miles Sample standard deviation (s) = 5.5 miles Confidence level = 95% Level of significance (α) = 1 – 0.95 = 0.05The degree of freedom = n – 1 = 11 – 1 = 10 Since, the population standard deviation is unknown therefore, the t distribution should be used. The critical value of t at 0.05 level of significance with 11 degree of freedom from the t value table is 2.228. The margin of error can be obtained as:The required confidence interval can be obtained as: Thus, the required 95% confidence interval is (21.0, 28.4) Miles. With 95% confidence it can be said that the population mean driving distance to work (in miles) that is between the interval's endpoints.