Consider the following hypotheses:

H₀: 160 H_A:< 160

The population is normally distributed. A sample produces the following observations:

153

163

149

151

154

148

Conduct the test at the 5% level of significance.(You may find it useful to reference the appropriate table:ztableorttable)

a.Calculate the value of the test statistic.(Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.)

b.Find thep-value. multiple choice 1

• 0.01p-value < 0.025
• p-value < 0.01
• p-value0.10
• 0.05p-value < 0.10
• 0.025p-value < 0.05

c.What is the conclusion? multiple choice 2

• Do not rejectH₀since thep-value is less than the significance level.
• Do not rejectH₀since thep-value is greater than the significance level.
• RejectH₀since thep-value is less than the significance level.
• RejectH₀since thep-value is greater than the significance level.

d.Interpret the results= 0.05. multiple choice 3

• We cannot conclude that the population mean is less than 160.
• We conclude that the population mean is less than 160.
• We cannot conclude that the population mean is greater than 160.
• We conclude that the population mean is greater than 160.

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