You wish to test the following claim (HaHa) at a significance level of =0.0020.0
ID: 3153271 • Letter: Y
Question
You wish to test the following claim (HaHa) at a significance level of =0.0020.002.
Ho:=71.7Ho71.7
Ha:71.7Ha71.7
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=71n71 with a mean of 71.1 and a sample standard deviation (s) of 9.8.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
less than (or equal to)
greater than
This test statistic leads to a decision to...
reject the null
accept the null
fail to reject the null
As such, the final conclusion is that...
There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 71.7.
There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 71.7.
The sample data support the claim that the population mean is not equal to 71.7.
There is not sufficient sample evidence to support the claim that the population mean is not equal to 71.7.
Explanation / Answer
Formulating the null and alternative hypotheses,
Ho: u = 71.7
Ha: u =/ 71.7
As we can see, this is a two tailed test.
Getting the test statistic, as
X = sample mean = 71.1
uo = hypothesized mean = 71.7
n = sample size = 71
s = standard deviation = 9.8
Thus, z = (X - uo) * sqrt(n) / s = -0.515886721 [ANSWER, TEST STATISTIC]
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Also, the p value is, as this is two tailed,
p = 0.605933529 [ANSWER, P VALUE]
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As we can see,
The P value is GREATER THAN ALPHA. [ANSWER]
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Hence, we
FAIL TO REJECT THE NULL HYPOTHESIS. [ANSWER]
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Thus,
OPTION D: There is not sufficient sample evidence to support the claim that the population mean is not equal to 71.7. [ANSWER, D]
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