Consider the following hypotheses:

H₀: 80

H_A:< 80

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

65 60 83 78 72 65

Conduct the test at the 10% level of significance.(You may find it useful to reference the appropriate table:z tableort table)

a.Calculate the value of the test statistic.(Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and 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 = 0.10.

• We cannot conclude that the population means is less than 80.
• We conclude that the population mean is less than 80.
• We cannot conclude that the population mean is greater than 80.
• We conclude that the population mean is greater than 80.