There is a 0 01 probability that the population mean is smaller than 529 statistics homework help

There is a 0 01 probability that the population mean is smaller than 529 statistics homework help

You are conducting a one-sided test of the null hypothesis that the population mean is 532 versus the alternative that the population mean is less than 532. If the sample mean is 529 and the p-value is 0.01, which of the following statements is true?

a. There is a 0.01 probability that the population mean is smaller than 529.

b. The probability of observing a sample mean smaller than 529 when the population mean is 532 is 0.01.

c. There is a 0.01 probability that the population mean is smaller than 532.

d. If the significance level is 0.05, you will accept the null hypothesis. e. none of the above

The standard deviation of a normal population is 10. You take a sample of 25 items from this population and compute a 95% confidence interval. In order to compute the confidence interval, you will use

a. the t table because the degrees of freedom will be 24.

b. the t table because you have estimated the standard deviation from the sample.

c. the z table because the population standard deviation is known.

d. the z table because the sample size is small.

e. none of the above