The Rocky Mountain district sales manager of Rath Publishing Inc., a college tex

Question

The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 38 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 38 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 2.2 calls. Using the 0.100 significance level, can we conclude that the mean number of calls per salesperson per week is more than 38? H0 : 38 H1 : > 38 1. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic 2. What is your decision regarding H0? (Click to select)RejectDo not reject H0. The mean number of calls is (Click to select)greaterless than 38 per week.

Explanation / Answer

Given that,
population mean(u)=38
sample mean, x =40
standard deviation, s =2.2
number (n)=38
null, Ho: <=38
alternate, H1: >38
level of significance, = 0.1
from standard normal table,right tailed t /2 =1.305
since our test is right-tailed
reject Ho, if to > 1.305
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =40-38/(2.2/sqrt(38))
to =5.604
| to | =5.604
critical value
the value of |t | with n-1 = 37 d.f is 1.305
we got |to| =5.604 & | t | =1.305
make decision
hence value of | to | > | t | and here we reject Ho
p-value :right tail - Ha : ( p > 5.604 ) = 0
hence value of p0.1 > 0,here we reject Ho
ANSWERS
---------------
null, Ho: <=38
alternate, H1: >38
test statistic: 5.604
critical value: 1.305
decision: reject Ho
p-value: 0

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