the Rocky Mountain district The Rocky Mountain district sales manager of Rath Pu
ID: 3223248 • Letter: T
Question
the Rocky Mountain district The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sates representatives make an average of 40 sates calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 28 sales representatives reveals that the mean number of calls made last week was 42. The standard deviation of the sample is 2.1 calls. Using the 05 significance level, can we conclude that the mean number of calls per salesperson per week is more than 40? H_0: mu lessthanorequalto 40 H_1: mu > 40 1. Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is your decision regarding H_0?Explanation / Answer
Given that,
population mean(u)=40
sample mean, x =42
standard deviation, s =2.1
number (n)=28
null, Ho: =40
alternate, H1: >40
level of significance, = 0.05
from standard normal table,right tailed t /2 =1.703
since our test is right-tailed
reject Ho, if to > 1.703
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =42-40/(2.1/sqrt(28))
to =5.04
| to | =5.04
critical value
the value of |t | with n-1 = 27 d.f is 1.703
we got |to| =5.04 & | t | =1.703
make decision
hence value of | to | > | t | and here we reject Ho
p-value :right tail - Ha : ( p > 5.0395 ) = 0.00001
hence value of p0.05 > 0.00001,here we reject Ho
ANSWERS
---------------
null, Ho: =40
alternate, H1: >40
test statistic: 5.04
critical value: 1.703
decision: reject Ho
p-value: 0.00001
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