hypothesis testing 12-3

In hypothesis testing, when we know the population standard deviation it is appropriate to use the _____- distribution

When we do not know the population standard deviation, we should use the _____ distribution

True or False: When we fail to reject the null hypothesis, we are saying that the difference between the observed sample mean and the hypothesized population mean is probable if the null hypothesis is true

• true

• false

The dean from UCLA is concerned that the student’s grade point averages have changed dramatically in recent years. The graduating seniors’ mean GPA over the last five years is 2.75. The dean randomly samples 256 seniors from the last graduating class and finds that their mean GPA is 2.85, with a sample standard deviation of .65. What would the null hypotheses be for this scenario?

The dean from UCLA is concerned that the student’s grade point averages have changed dramatically in recent years. The graduating seniors’ mean GPA over the last five years is 2.75. The dean randomly samples 256 seniors from the last graduating class and finds that their mean GPA is 2.85, with a sample standard deviation of .65. What would the alternative hypotheses be for this scenario?

What would the standard error be for this particular scenario?

• .081

• .125

• .254

• .68

The dean from UCLA is concerned that the student’s grade point averages have changed dramatically in recent years. The graduating seniors’ mean GPA over the last five years is 2.75. The dean randomly samples 256 seniors from the last graduating class and finds that their mean GPA is 2.85, with a sample standard deviation of .65 Is this a one tailed or two tailed test.

• one tailed

• two tailed

For each of the following scenarios, state which one is more likely to lead to the rejection of the null hypothesis? a. A one-tailed

• one tailed

• two tailed

For each of the following scenarios, state which one is more likely to lead to the rejection of the null hypothesis? a. A one-tailed

• .05

• .01

For each of the following scenarios, state which one is more likely to lead to the rejection of the null hypothesis? a. A one-tailed

• n=144

• n=444