The source depicts the results of a fictional study investigating whether the number of hours of sleep a person gets varies with his or her gender(male,female) and with the number of energy drinks that he or she consumes in a day. Equal numbers of men and women were randomly assigned to drink either 0, 1, or 2 energy drinks during the course of a day and then record the number of hours they slept that night. Table: Coffee and Sleep Source                                       SS                       df                            MS                              F Gender                                      0.250                    1                            0.250                        0.283 Energy Drinks                           81.556                   2                            40.778                      46.180 Gender X Drinks                       2.667                     2                            1.330                        1.510 Within                                        26.500                   30                          0.893 Total                                          110.972                  35                           Using a p level of 0.05, what are the significant effects? 1. There is a main effect of gender and interaction between gender and the number of energy drinks. 2. None of the effects are significant. 3. There is a main effect of the number of energy drinks and no other effects. 4. There is a main effect of the number of energy drinks and an interaction between gender and number of energy drinks.

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The source depicts the results of a fictional study investigating whether the number of hours of sleep a person gets varies with his or her gender(male,female) and with the number of energy drinks that he or she consumes in a day. Equal numbers of men and women were randomly assigned to drink either 0, 1, or 2 energy drinks during the course of a day and then record the number of hours they slept that night.

Table: Coffee and Sleep

Source                                       SS                       df                            MS                              F

Gender                                      0.250                    1                            0.250                        0.283

Energy Drinks                           81.556                   2                            40.778                      46.180

Gender X Drinks                       2.667                     2                            1.330                        1.510

Within                                        26.500                   30                          0.893

Total                                          110.972                  35                          

Using a p level of 0.05, what are the significant effects?

1. There is a main effect of gender and interaction between gender and the number of energy drinks.

2. None of the effects are significant.

3. There is a main effect of the number of energy drinks and no other effects.

4. There is a main effect of the number of energy drinks and an interaction between gender and number of energy drinks.

Expert Solution
Step 1

The P-value for the main effect gender is obtained by using Excel.

The P-value is obtained Excel function “=FDIST(x, degrees of freedom1, degrees of freedom2)”.

Excel output:

Statistics homework question answer, step 1, image 1

From the output, the P-value for the main effect gender is 0.59866.

The P-value for the main effect energy drinks is obtained by using Excel.

Excel output:

Statistics homework question answer, step 1, image 2

From the output, the P-value for the main effect energy drinks is 0.000.

The P-value for the interaction is obtained by using Excel.

Excel output:

Statistics homework question answer, step 1, image 3

From the output, the P-value for the interaction is 0.2372.

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