Consider the following hypotheses:

H₀:= 37

H_A: 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

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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.