A national grocer’s magazine reports the typical shopper spends 7 minutes in lin
ID: 3386583 • Letter: A
Question
A national grocer’s magazine reports the typical shopper spends 7 minutes in line waiting to check out. A sample of 20 shoppers at the local Farmer Jack’s showed a mean of 6.0 minutes with a standard deviation of 2.0 minutes.
Is the waiting time at the local Farmer Jack’s less than that reported in the national magazine? Use the 0.100 significance level.
a) What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Reject H0: µ 7 and fail to reject H1: µ < 7 when the test statistic is _______
b) The value of the test statistic is_________ . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
Reject H0
Or
Reject H0: µ 7 and fail to reject H1: µ < 7 when the test statistic is _______
b) The value of the test statistic is_________ . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
C) What is your decision regarding H0?Reject H0
Or
Do not reject H0Explanation / Answer
a)
Formulating the null and alternative hypotheses,
Ho: u >= 7
Ha: u < 7
As we can see, this is a left tailed test.
Thus, getting the critical t,
df = n - 1 = 19
tcrit = - 1.327728209
Thus, Reject Ho when t < -1.328 [ANSWER]
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b)
Getting the test statistic, as
X = sample mean = 6
uo = hypothesized mean = 7
n = sample size = 20
s = standard deviation = 2
Thus, t = (X - uo) * sqrt(n) / s = -2.236067977 = -2.24 [ANSWER]
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c)
As t < -1.328, we REJECT HO. [ANSWER]
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