Consider the following hypotheses: H₀:= 30 H_A: 30

The population is normally distributed. A sample produces the following observations:(You may find it useful to reference the appropriate table:ztableorttable)

34

35

34

32

31

31

32

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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 final answer to 2 decimal places.) c.Find thep-value. multiple choice 1

• p-value < 0.01
• p-value0.10
• 0.05p-value < 0.10
• 0.02p-value < 0.05
• 0.01p-value < 0.02

d.At the 5% significance level, what is the conclusion? multiple choice 2

• Do not rejectH₀since thep-value is smaller than.
• Do not rejectH₀since thep-value is greater than.
• RejectH₀since thep-value is smaller than.
• RejectH₀since thep-value is greater than.

e.Interpret the results= 0.05. multiple choice 3

• We cannot conclude that the sample mean differs from 30.
• We conclude that the population mean differs from 30.
• We cannot conclude that the population mean differs from 30.
• We conclude that the sample mean differs from 30.