Question

In: Math

Consider the following hypotheses: H0: μ ≥ 150 HA: μ < 150 A sample of 80...

Consider the following hypotheses:

H0: μ ≥ 150

HA: μ < 150

A sample of 80 observations results in a sample mean of 144. The population standard deviation is known to be 28. Use Table 1.

a.

What is the critical value for the test with α = 0.01 and with α = 0.05? (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

Critical Value
  α = 0.01
  α = 0.05
b-1.

Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

  Test statistic   
b-2.

Does the above sample evidence enable us to reject the null hypothesis at α = 0.01?

  • Yes since the value of the test statistic is not less than the negative critical value.

  • Yes since the value of the test statistic is less than the negative critical value.

  • No since the value of the test statistic is not less than the negative critical value.

  • No since the value of the test statistic is less than the negative critical value.

c.

Does the above sample evidence enable us to reject the null hypothesis at α = 0.05?

  • Yes since the value of the test statistic is not less than the negative critical value.

  • Yes since the value of the test statistic is less than the negative critical value.

  • No since the value of the test statistic is not less than the negative critical value.

  • No since the value of the test statistic is less than the negative critical value.

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