You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 63.5 Ha:u < 63.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 54 with mean M = 61 and a standard deviation of SD = 18.3. 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) a Ogreater than a This test statistic leads to a decision to... reject the null accept the null O 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 less than 63.5. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 63.5. |The sample data support the claim that the population mean is less than 63.5. There is not sufficient sample evidence to support the claim that the population mean is less than 63.5.
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 63.5 Ha:u < 63.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 54 with mean M = 61 and a standard deviation of SD = 18.3. 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) a Ogreater than a This test statistic leads to a decision to... reject the null accept the null O 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 less than 63.5. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 63.5. |The sample data support the claim that the population mean is less than 63.5. There is not sufficient sample evidence to support the claim that the population mean is less than 63.5.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:You wish to test the following claim (H) at a
significance level of a = 0.001.
H.:µ = 63.5
Ha:µ < 63.5
You believe the population is normally
distributed, but you do not know the standard
deviation. You obtain a sample of size n = 54
with mean M = 61 and a standard deviation of
SD = 18.3.
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) a
greater than a
This test statistic leads to a decision to...
O 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 less than 63.5.
There is not sufficient evidence to warrant
rejection of the claim that the population
mean is less than 63.5.
The sample data support the claim that the
population mean is less than 63.5.
O There is not sufficient sample evidence to
support the claim that the population mean
is less than 63.5.
Expert Solution
Step 1
Denote μ as the population mean.
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