Question

In a sample of 37days shows that the new employees sales per day $2500 whereas in a sample of 54 days shows the senior employees sales per day $1345. now, assume the population standard deviation of the new employees is $245 and the for the seniors standard deviation is $233. we need to test at the 4% level of significance whether the mean or average amount sold by new employees per day is less than the mean amount for senior employees.

find the null and alternative hypothesis using one sided test. state the critical value and evaluate the proper test statistics. also find the p-value.

Answer 1

Given:

new employees:

n1 = 37, = 2500, = 245

senior employees:

n1 = 54, = 1345, = 233

= 4% = 0.04

Hypothesis:

      OR mean or average amount sold by new employees per day is less than the mean amount for senior employees.

Critical value:

Z= Z 0.04 = -1.7507     ................Using standard Normal table

Test statistic:

Conclusion:

Test statistic > Critical value, i.e. 22.53 > -1.7507, That is Fail to Reject Ho at 4% level of significance.

Therefore there is not sufficient evidence to conclude that the, mean or average amount sold by new employees per day is less than the mean amount for senior employees.