Answer questions below as indicated:

A researcher is interested in estimating the average salary of fire fighters in a large city. He wants to be 95% confident that his estimate is correct. If the standard deviation is $1050, how large a sample is needed to get the desired information and to be accurate within $200?
A researcher claims that the average age of people who buy lottery tickets is 70. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 16. At alpha = 0.05 is there enough evidence to reject the researcher’s claim?
49 63 90 52 22 80 72 56 82 56
24 46 70 74 70 61 65 71 39 74
79 76 71 49 62 68 71 67 69 45
A sample size of 35 is used to test H0: m 65 vs. Ha: Given that = 63.5 and = 2.5, answer the following questions
What is the computed value of the test statistic?
What distribution does the test statistic have when the null hypothesis is true?
Is the alternative hypothesis one-tailed or two-tailed?
What is the p-value?
List the steps involved in hypothesis testing using: a) the traditional/classical method; b) the probability-value method. Provide an example of each.

Answer questions below as indicated:

A researcher is interested in estimating the average salary of fire fighters in a large city. He wants to be 95% confident that his estimate is correct. If the standard deviation is $1050, how large a sample is needed to get the desired information and to be accurate within $200?
A researcher claims that the average age of people who buy lottery tickets is 70. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 16. At alpha = 0.05 is there enough evidence to reject the researcher’s claim?
49 63 90 52 22 80 72 56 82 56
24 46 70 74 70 61 65 71 39 74
79 76 71 49 62 68 71 67 69 45
A sample size of 35 is used to test H0: m 65 vs. Ha: Given that = 63.5 and = 2.5, answer the following questions
What is the computed value…