what is the critical value what is the test statistic

This is for QNT 561 with multiple questions. I have attached this full quiz in the attachments

Please complete as much as you can.

1. Nurses in the Carmel Valley Municipal Hospital District were concerned that they were being underpaid compared with other nurses in Southern California. The Southern California Association of Registered Nurses reported an average wage of $40.00/ hour in Southern Califorina. The Hospital surveyed 250 of its nurses and found that the average wage of nurses was $37.45 with a standard deviation of $2.78/hour. Was there a significant difference between the hourly wages of the nurses? Use the .01 significance level.

A. State the null and alternative hypotheses for the decision

B. What is the Critical Value ____________?

C. What is the test statistic ___________?

D.What is the conclusion from the study?

2. A quality improvement project was conducted with the objective of improving the wait- time in a county health department Adult Primary Care Unit. The evaluation plan included a Waiting Room Time as a key metric in its service evaluation; therefore, the Unit set a wait- time of no more than 15 Minutes. After implementing an improvement framework and process, the Unit found from a sample of 35 patients that the wait time in the waiting room was actually 17.3 minutes with a standard deviation of 3 minutes. If the staff tested the wait time at the .05 significance level, will the data support the idea the wait time exceeds the desired goal?

A. State the null and alternative hypothesis

B.What is the test statistic? ______________________

C. What is the Critical Value? _______________________

D. What is the conclusion derived from this test?

3. Mrs. Thrifty suspects that she spends more money on groceries in the summer months than in the winter. To test this assumption, she compared her weekly costs during six months in the summer with the average costs for a similar period this past winter. In the winter months she spent an average of $278.29 per month with a standard deviation of $13.89 at her neighborhood Ralph’s. In the summer months, she spent $270.67 per mont. The standard deviation for these months was $10.57. Use the .05 significance level to determine if Mr. Thrifty spends more on groceries in the summer months than in the winter. (Use 6 months for the Winter months and 6 months for the summer months)

A. State the Hypothesis statement:

B. What is the critical value ________________?

C. What is the test statistic __________________?

D. What is the conclusion to be reached from the study?

4. The new track coach at Western California State wanted to use a variety of drills to increase the speed of his 22 sprinters in the 40-yard and 100-yard dash. In 2015, the average speed of his team in the 40-yard dash was 6.2 seconds with a standard deviation of .62. After three months of drill, the sprinters average speed was 5.1 seconds for the 40-yard dash with a standard deviation of .35. Did the coach’s three months of work increase the speed of his sprinters? Use the .01 level of significance.

A. State the null and alternative hypotheses for this experiment:

B. What is the critical value ______________?

C. What is the test statistic _______________?

D. Did the coach’s three months of work increase the speed of his sprinters? Use the .01 level of significance.

5. The wine growers in Temecula took a survey to determine how much customers might pay for a high quality Pinot Noir. They determined by a survey of 345 customers that the average price for their wine should be $19.95. The standard deviation was $2.45. The wine growers in Napa Valley also conducted the same survey with 568 customers and discovered an average price of $21.95 with a standard deviation of $2.75. Was the average price of Pinot Noir statistically higher in Napa Valley than in Temecula?

A. Write the numerical hypothesis statement:

B. What is the test statistic? ________________________

C.What is the Critical Value? ______________________

D.What will you write in your report to the Napa Valley Wine Growers?