Question 1

An effect size of 0.53 was calculated on data after performing a hypothesis test with a single-sample t statistic in which the null hypothesis was rejected.What can be concluded about the results based on this information?
A) The research hypothesis is supported, but the effect size is small.
B) The sample data are significantly different from what was expected based on the population, with the sample mean 0.53 standard deviations greater than the population mean.
C) The population mean is 0.53 standard error units greater than the sample mean, and the results are significant.
D) The effect size is medium, which means there is a medium risk that a Type I error has occurred.

Accepted Answer

The effect size of 0.53 indicates the magnitude of the difference between the sample data and the population parameters, suggesting the sample mean is 0.53 standard deviations away from the population mean, not the risk of error or the direction of the difference.

Question 2

A dot plot allows us to _____, while a stem-and-leaf plot does not.
A) view the overall shape of the sample
B) view all individual data points
C) include more than one sample
D) display a range of scores along the y-axis

Accepted Answer

The answer of A dot plot allows us to _____,...

Question 3

Griffin is looking through a statistics text for a z table, but he can find only a t table in the index.What tip would best help him find the information he needs?
A) Add 1 to all the scores in the t table to find the corresponding z statistic.
B) Go to the library to look up the z table.
C) Use a different distribution instead of a z distribution.
D) Use the sample size of infinity listed in the t table because it is equal to the z table.

Accepted Answer

The t table with a sample size of infinity is equivalent to the z table since the t distribution approaches the normal distribution as sample size increases. Therefore, using the t table with a sample size of infinity will provide the necessary information for a z distribution.

Question 4

When the population mean falls in our confidence interval, we conclude that the sample:
A) comes from a different population.
B) comes from the same population.
C) is not representative of the population.
D) was obtained in error.

Accepted Answer

If the population mean falls in our confidence interval, it means that the sample is likely to have come from the same population as the population we are studying. This is because the confidence interval gives us a range of values that we can be reasonably certain contains the population mean. Therefore, we can conclude that the sample is representative of the population.

Quiz 9: The Single-Sample T Test

An effect size of 0.53 was calculated on data after performing a hypothesis test with a single-sample t statistic in which the null hypothesis was rejected.What can be concluded about the results based on this information?

A dot plot allows us to _____, while a stem-and-leaf plot does not.

Griffin is looking through a statistics text for a z table, but he can find only a t table in the index.What tip would best help him find the information he needs?

When the population mean falls in our confidence interval, we conclude that the sample: