# Question: A researcher is interested in comparing the response times of

A researcher is interested in comparing the response times of two different cab companies. Companies A and B were each called at 50 randomly selected times. The calls to company A were independently made from the calls to company B. Company A had a mean response time of 8.5 minutes with a standard deviation of 1.8 minutes. Company B had a mean response time of 5.5 minutes with a standard deviation of 1.6 minutes. Use a 0.05 significance level to test the claim that the mean response time for company A differs from the mean response time for company B.

1. State the null and alternative hypotheses symbolically and identify which represents the claim.

2. Determine whether the hypothesis test is a one-tailed test or a two-tailed test and whether or not to use a z-test or a t-test. Explain your reasoning.

3. Identify the critical value(s) and identify the rejection region(s).

4. Us the appropriate test to find the appropriate test statistic. You can use technology for this question but please attach your results which must show your work.

5. Based on your test statistic and your rejection region, what is your decision?

6. Interpret your decision in context of the original claim.

7. Construct a 95% confidence interval estimate of the difference between the mean responses times for Company A and Company B. Interpret your interval in context of the original claim.

1. State the null and alternative hypotheses symbolically and identify which represents the claim.

2. Determine whether the hypothesis test is a one-tailed test or a two-tailed test and whether or not to use a z-test or a t-test. Explain your reasoning.

3. Identify the critical value(s) and identify the rejection region(s).

4. Us the appropriate test to find the appropriate test statistic. You can use technology for this question but please attach your results which must show your work.

5. Based on your test statistic and your rejection region, what is your decision?

6. Interpret your decision in context of the original claim.

7. Construct a 95% confidence interval estimate of the difference between the mean responses times for Company A and Company B. Interpret your interval in context of the original claim.

**View Solution:**## Answer to relevant Questions

A researcher developed the following multiple regression model to explain the variation in hours worked by married women.H = β0 + β1X1 + β2X2 + β3X3 + β4X4 + εWhere, H = hours worked per month, X1 = age, X2 = education ...Indicate whether each of the following statements are true or false and give the reason.(a) A firm should stop expanding output after reaching diminishing returns (b) If large and small firms operate in the same industry, we ...Mica Co. agreed to build a commercial storage building by September 1 for Pack Rat Storage. It was hard to predict Pack Rat's losses if the building was not completed on time. The parties estimated that Pack Rat would lose ...The winter daily temperatures in East Lansing can be described by a normal model. The mean winter temperature is 26.2 degrees F; the standard deviation is 3.88 degrees F. Find two values that will give the symmetric 0.5878 ...Chez Henri is a restaurant chain that operates in 40 different cities. It hired an economist to estimate the factors affecting the demand for its sales. The following equation was estimated using cross sectional data from ...Post your question