Question

a)

The pulse rates of ten adult women were found to be as follows:

                    83    58  70  56  76  64  80  76  64  83

Assume that the pulse rate of women is normally distributed. At a 5% level of significance can you conclude that that the true pulse rate of women is less than 72?

B) The costs associated with conducting interviews for a job opening have skyrocketed over the years. According to a Harris interactive survey, 211 of 502 senior human resources executives at U.S companies believe that their hiring managers are interviewing too many people to find qualified candidates for the job. Suppose the true proportion of human resource executives who believe that their hiring managers are interviewing too many people is given by p. At a 5% level of significance can you conclude that the true proportion p differs from 40%?

Answer 1

a) The sample data is

Given the sample size and sample mean , sample standard deviation .

The level of significance is .

The hypotheses are

We use the t-distribution, since  population standard deviation is not known.

The test statistic is

The P-value of the test is

Since , we accept the null hypothesis.

We conclude, at a 5% level of significance , that that the true pulse rate of women is not less than 72.

b)We have to test

The estimated proportion is

The test statistic is

The P-value of the test is

Since the P-value is , we accept the null hypothesis. Strong evidence to support Null hypothesis.

The conclusion is : " at a 5% level of significance can you conclude that the true proportion does not differ from 40%"