[The following information applies to the questions displayed below.] The sample
ID: 3386200 • Letter: #
Question
[The following information applies to the questions displayed below.]
The sample mean is 60, and the sample size is 37. The population standard deviation is 8.
1.
Required information
Two-tailed test
One-tailed test
2.
Required information
Reject H0 if -1.65 < z < 1.65
Reject H0 if z < -1.65 or z > 1.65
3.
Required information
What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
4.
Required information
Reject H0
Fail to reject H0
5.
Required information
The following information is available.Explanation / Answer
1.
Formulating the null and alternative hypotheses,
Ho: u = 61
Ha: u =/ 61
As Ha uses =/, then it is TWO TAILED TEST. [ANSWER]
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2.
As we can see, this is a two tailed test.
Thus, getting the critical z, as alpha = 0.1 ,
alpha/2 = 0.05
zcrit = +/- 1.644853627
Thus, we reject Ho if z < -1.65 or z > 1.65. [ANSWER]
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3.
Getting the test statistic, as
X = sample mean = 60
uo = hypothesized mean = 61
n = sample size = 37
s = standard deviation = 8
Thus, z = (X - uo) * sqrt(n) / s = -0.760345316 = -0.76 [ANSWER]
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4.
As |z| < 1.65, then we FAIL TO REJECT HO. [ANSWER]
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5.
Also, the p value is, as this is two tailed,
p = 0.4472 [ANSWER]
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