Question
Consider the following hypotheses: H 0 : = 37 H A : 37 The population is normally distributed. A sample produces the following observations: (You
Consider the following hypotheses:
H0:= 37
HA: 37
The population is normally distributed. A sample produces the following observations:(You may find it useful to reference the appropriate table:z tableort table)
36 42 37 32 41 37 37
Click here for the Excel Data File
a.Find the mean and the standard deviation.(Round your answers to 2 decimal places.)
b.Calculate the value of the test statistic.(Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
c.Find thep-value.
multiple choice 1
- p-value0.10
- 0.05p-value < 0.10
- 0.02p-value < 0.05
- 0.01p-value < 0.02
- p-value < 0.01
d.At the 1% significance level, what is the conclusion?
multiple choice 2
- RejectH0since thep-value is greater than.
- RejectH0since thep-value is smaller than.
- Do not rejectH0since thep-value is greater than.
- Do not rejectH0since thep-value is smaller than.
e.Interpret the results
= 0.01.
multiple choice 3
- We conclude that the sample mean differs from 37.
- We cannot conclude that the population mean differs from 37.
- We conclude that the population mean differs from 37.
- We cannot conclude that the sample mean differs from 37.
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