Question
1. A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 90% confident that her estimate is correct. If the standard deviation is 4.13, how large a sample is needed to get the desired information to be accurate within 0.68 decibels? Show all work.
2. Assume that the population of heights of male college students is approximately normally distributed with mean m of 73.63 inches and standard deviation s of 6.73 inches. A random sample of 97 heights is obtained. Show all work.
(A) Find the mean and standard error of the distribution
(B) Find P(x bar > 73.50)
Question
Using the university’s survey responses from the the university’s data set, complete the following requirements in the form of a report:
•Perform a two-tailed hypothesis test on both the legal services satisfaction and the sentence satisfaction variable’s data using a .05 significance level
◦Begin by creating a null and an alternate statement.
◦Use Microsoft Excel to process your data. ◦Copy and paste the results of the output to your report in Microsoft Word.
◦Identify the significance level, the test statistic, and the critical value.
◦State whether you are rejecting or failing to reject the null hypothesis statement. In a separate paragraph, provide some information on when to use a t-test, when to use a z-test, and why. Also, provide some information about why samples are used instead of populations.