Exam 8: Hypothesis Testing: Inferences About a Single Mean

As your sample size gets smaller (especially as it gets below about 30-40),the t-distribution and the z-distribution

Describe the similarities and differences between the t distribution and the normal distribution.

If the observed and expected results of some experiment are not identical,then the null hypothesis (no differences)should be ______.

In a one-sample z test,when you have evidence or reasoning to suggest that your sample mean will most likely differ from the hypothesized population value in one direction (for example,"it will be higher than the hypothesized value"),you would use a

In the sampling distribution of the mean for the z distribution,95% of all sample means will fall between ____________________ standard errors from the mean.

An alternative hypothesis that specifies that a population mean is different from a given value and also indicates the direction of that difference is called a:

What happens when the experimental results are statistically significant?

In principle,we can never accept the null hypothesis as being true via our statistical methods;we can only reject it as being untenable.

What are the assumptions of the one-sample t test?

A test statistic is the same as an ordinary descriptive statistic.

A researcher in sports psychology is interested in the resting pulse rate of long-distance college runners.She does some research and finds data from the U.S.Olympics team showing their long-distance runners have a resting pulse rate of 60 beats per minute.She wants to know if the pulse rate for college runners is different from the Olympic team's m of 60.She randomly samples 20 long-distance runners,and finds What is the 95% confidence interval for the above statistical test?

The one-sample z test is used to determine whether the difference between your sample mean and the hypothesized population value is _____.

If the observed result of an investigation is so discrepant from the expected result that the difference cannot be attributed to chance,then the _____ hypothesis is _____.

A researcher in sports psychology is interested in the resting pulse rate of long-distance college runners.She does some research and finds data from the U.S.Olympics team showing their long-distance runners have a resting pulse rate of 60 beats per minute.She wants to know if the pulse rate for college runners is different from the Olympic team's m of 60.She randomly samples 20 long-distance runners,and finds What is the appropriate test statistic for this data?

The probability of making a Type I error is equal to:

Which of the following symbols represents the power of a statistical test?

The probability that an investigator will correctly reject the null hypothesis when it is false is called the _____ of the statistical test.

The probability for Type I error is equal to _____.

When the observed value of z falls within the range defined by the critical values,we _____ the null hypothesis.

When _____,and the raw scores in the population are normally distributed,then the normal and t distributions are quite _____ one another.