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Attempts: Do No Harm: 6 3. Testing a population mean Reaching a conclusion by th

ID: 3365747 • Letter: A

Question

Attempts: Do No Harm: 6 3. Testing a population mean Reaching a conclusion by the p-value approach Aa Aa You conduct a hypothesis test about a population mean at a significance level of -01 using a sample of size n = 60. The population standard deviation is unknown, so you use the t test statistic. Your test statistic follows a t distribution with n-1 = 59 degrees of freedom when the null hypothesis is true as an equality, and its value obtained from the sample is t = 2.05. Use the Distributions tool to help you answer the questions that follow. Select a Distribution Distributions 0 123 If you perform an upper tail test, the p-value is because the p-value is . You the null hypothesis in this case, than the significance level. If you perform a two-tailed test, the p-value is because the p-value is You the null hypothesis in this case, than the significance level.

Explanation / Answer

Degrees of freedom:

59

t-value:

2.05

1.

One-tailed probability (right tail): p-value = 0.0224

We fail to reject the null hypothesis in this case, as p-value is more than the significance level (.01)

2.

Two-tailed probability: 0.04481682

We fail to reject the null hypothesis in this case, as p-value is more than the significance level (.01)