Q1) Which of the following correctly describe the acceptance region for the null hypothesis? Please select the best answer. a) We accept the null hypothesis if the observed sample mean is greater than the critical value of sample mean. b) We accept the null hypothesis if the observed sample mean is less than the critical value of sample mean. c) We accept the null hypothesis if the observed sample mean is less than the negative critical value of sample mean or greater than the positive critical value of sample mean. d) We accept the null hypothesis if the observed sample mean is between the negative and positive critical value of sample mean.
Multiple Choice Questions:
Q1) Which of the following correctly describe the acceptance region for the null hypothesis? Please select the best answer.
a) We accept the null hypothesis if the observed sample
b) We accept the null hypothesis if the observed sample mean is less than the critical value of sample mean.
c) We accept the null hypothesis if the observed sample mean is less than the negative critical value of sample mean or greater than the positive critical value of sample mean.
d) We accept the null hypothesis if the observed sample mean is between the negative and positive critical value of sample mean.
Q2) Which of the following is the correct way to compute the p-value for this hypothesis test?
a) qnorm((6.3-6)/0.25)
b) 1- qnorm((6.3-6)/0.25)
c) qnorm((6.3-6)/2)
d) 1- qnorm((6.3-6)/2)
Q3) Suppose the critical value of sample mean you derived earlier is c. Which of the following R script can correctly compute the beta (probability of making type II error)?
a) 1- pnorm((c-6.5)/2)
b) pnorm((c-6.5)/0.25)
c) 1- pnorm((c-6.5)/0.25)
d) pnorm((c-6.5)/2)
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