# A researcher wants to know if

A researcher wants to know if the mean times (in minutes) that people watch their favorite news station are the same. Suppose that Table 13.24 shows the results of a study.

 CNN FOX Local 45 15 72 12 43 37 18 68 56 38 50 60 23 31 51 35 22

Table 13.24

Assume that all distributions are normal, the three population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05.

# A researcher wants to know if

A researcher wants to know if male and female college students differ with regard to their GPAs. She randomly gets 16 male and 16 female college students to report their GPAs. The males reported a mean GPA of 3.05 with a SS = 3.75. The females reported a mean GPA of 3.1 with a SS = 2.4.

You are going to be conducting an independent samples t-test. You will be conducting a two-tailed test with alpha α=.05. What is the critical t-value(s) for this test?

# A researcher wants to know if

One-Way ANOVA

A researcher wants to know if the time of day that a test is taken affects critical thinking ability.

Factor (IV) = Time of Day

DV = correct answers on a critical thinking abilities test.

 MORNING AFTERNOON NIGHT 4 3 8 3 1 4 5 3 6 4 1 6

ENTER VARIABLE: Time_of_Day

• Value Labels for each level
• 1 = Morning, 2 = afternoon, 3 = Night

Move DV in to “Dependent List”

Move IV in to “Factor”

Select the Tukey post hoc analysis

Click “options”

• Descriptive Stats
• Homogeneity of Variance test (should be greater than alpha level)

THREE or FOUR THINGS to REPORT

You will be reporting three or four things, depending on whether you find a significant results for your one-way ANOVA.

1. Test type and use

EXAMPLE:

“A one-way between subjects ANOVA was conducted to compare the effect of (IV) _________ on (DV) __________ in __________, __________, and __________ conditions.”

1. Significant differences between conditions

You want to tell your reader whether or not there was a significant difference between condition means.

EXAMPLE

“There was a significant effect of (IV) __________ on (DV) __________ at the .05 alpha level for the three conditions [ F (___, ___) = _____, p = _______].”

1. If your hypothesis test yielded significant results – report post hoc tests.

“Post hoc comparisons using the Tukey HSD test indicated that the mean score for the __________ condition (M = ??, SD = ?.??) was significantly different than the __________ condition (M = ??, SD = ?.??). However, the _________ condition (M = ??, SD = ?.??) did not significantly differ from the __________ and __________ conditions.”

# A researcher wants to know if

A researcher wants to know if there is a difference between the mean amount of sleep that people get for various types of employment status. The table below shows data that was collected from a survey.

Full Time Worker Part Time Worker Unemployed
6 6 7
5 6 7
8 9 9
7 6 8
8 8 8
8 8 8
6 6 8
8 7
6 9

Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01.

H0: μ1=μ2=μ3H0: μ1=μ2=μ3
H1:H1: At least two of the means differ from each other.

1. For this study, we should use Select an answer 2-PropZTest 2-PropZInt 1-PropZInt 2-SampTInt 1-PropZTest T-Test χ²-Test ANOVA χ²GOF-Test TInterval 2-SampTTest
4. The p-value is Select an answer less than (or equal to) alpha greater than alpha  αα
5. Base on this, we should Select an answer accept the null hypothesis fail to reject the null hypothesis reject the null hypothesis  hypothesis
6. As such, the final conclusion is that…
• There is insufficient evidence to support the claim that employment status is a factor in the amount of sleep people get.
• There is sufficient evidence to support the claim that employment status is a factor in the amount of sleep people get.

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