For each problem, clearly detail each component of the Hypothesis Testing Procedure listed below in parts a-e below. Include StatDisk output with your answers. a) Identify the null hypothesis and...

For each problem, clearly detail each component of the Hypothesis Testing Procedure listed below in parts a-e below.

Include StatDisk output with your answers.

a) Identify the null hypothesis and alternative hypothesis from a given claim, and express both in symbolic form
b) Identify the critical value(s), given a significance level and illustrate the region(s) of rejection
c) Calculate the value of the test statistic and identify whether the obtained value is within the region of rejection
d) Identify the P-value. Write a sentence interpreting the meaning of the P-value.
e) State the conclusion about a claim (based on either the value of the test statistic or the P-value); this should include a well-crafted sentence that states the conclusion within the specific context of the problem.

General Directions for problems #1-6 General Directions for ALL Problems For each problem, clearly detail each component of the Hypothesis Testing Procedure listed below in parts a-e below. Include StatDisk output with your answers. a) Identify the null hypothesis and alternative hypothesis from a given claim, and express both in symbolic form b) Identify the critical value(s), given a significance level and illustrate the region(s) of rejection c) Calculate the value of the test statistic and identify whether the obtained value is within the region of rejection d) Identify the P-value. Write a sentence interpreting the meaning of the P-value. e) State the conclusion about a claim (based on either the value of the test statistic or the P-value); this should include a well-crafted sentence that states the conclusion within the specific context of the problem. 1. Allergy Relief In a clinical study of an allergy drug, 125 out of the 200 subjects reported experiencing relief from their symptoms. At the .01 significance level, test the claim that more than half of all those using the drug experience relief. 2. Cab Companies A researcher was interested in comparing the response times of two different cab companies. Companies A and B were each called at 100 randomly selected times. The calls to company A were made independently of the calls to company B. The response times for each call were recorded. The summary statistics were as follows: Company A Company B Mean Response Time 11.2 minutes 9.8 minutes Standard Deviation 1.1 minutes 1.2 minutes Use a .05 significance level to test the claim that the mean response time for Company A is the same as the mean response time for Company B. 3. Employee Weight The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that σ is known to be 21.2 lb, use a 0.05 significance level to test the claim that the population mean of all such employees weights is less than 200 lb. 4. Departure Delay Times Refer to the Flight Data Set found in StatDisk (Elementary Stats 12th Edition, column 3) to see the list of 48 different departure delay times (minutes) for American Airlines flights from New York (JFK) to Los Angeles. Negative departure delay times correspond to flights that departed early. Use a .01 level of significance to test the claim that the mean departure delay time for all such flights is less than 15.0 minutes. Is a flight operations manager justified in reporting that the mean departure time is less than 15.0 minutes? 5. Gymnastics Training Technique A coach uses a new technique to train gymnasts. Ten gymnasts were randomly selected from a normally distributed population and their scores were recorded before and after the training. The results are shown in the table below. Subject A B C D E F G H I J K L M AFTER 9.7 9.9 9.7 9.1 9.8 9.3 9.9 9.7 9.9 9.8 BEFORE 9.1 8.3 9.4 9.4 8.5 8.2 9.0 8.6 8.9 8.3 Using a .05 level of significance, test the claim that the training technique is effective in raising the gymnasts’ scores. 6. Work Satisfaction The table shows the number satisfied in their work in a sample of working adults with a college education and in a sample of working adults without a college education. Do the data provide sufficient evidence that a greater proportion of those with a college education are satisfied in their work? Use a significance level of . College Education No College Education Number in Sample 250 325 Number Satisfied in Their Work 211 201 05 . = a