Consider the following hypotheses:
H₀: ? = 40
H_A: ? ? 40

43 39 42 38 44 39 44

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 the p-value.

• p-value 0.10
• 0.05 p-value <>
• 0.02 p-value <>
• 0.01 p-value <>
• p-value <>

d. At the 10% significance level, what is the conclusion?

• Reject H₀ since the p-value is greater than ?.
• Reject H₀ since the p-value is smaller than ?.
• Do not reject H₀ since the p-value is greater than ?.
• Do not reject H₀ since the p-value is smaller than ?.

e. Interpret the results ?? = 0.1.

We conclude that the sample mean differs from 40.

• We cannot conclude that the population mean differs from 40.
• We conclude that the population mean differs from 40.
• We cannot conclude that the sample mean differs from 40.

 

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