A researcher wants to determine whether there are any differences in blood pressure among people who...

  

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A researcher wants to determine whether there are any differences in blood pressure among people who exercise at different times of day and who consume different types of diets. They randomly assign 100 participants to one of six groups: a group that exercises in the morning and follows a low-fat diet, a group that exercises in the morning and follows a high-fat diet, a group that exercises in the afternoon and follows a low-fat diet, a group that exercises in the afternoon and follows a high-fat diet, a group that exercises in the evening and follows a low-fat diet, and a group that exercises in the evening and follows a high-fat diet. After 8 weeks, they measure each participant's blood pressure and obtain the following results: Morning exercise, low-fat diet group: mean blood pressure 120, standard deviation = 10 Morning exercise, high-fat diet group: mean blood pressure = 125, standard deviation = 12 Afternoon exercise, low-fat diet group: mean blood pressure = 115, standard deviation = 8 Afternoon exercise, high-fat diet group: mean blood pressure = 130, standard deviation = 14 Evening exercise, low-fat diet group: mean blood pressure = 118, standard deviation = 11 Evening exercise, high-fat diet group: mean blood pressure = 133, standard deviation = 15 Is there evidence of a statistically significant difference in blood pressure among people who exercise at different times of day and who consume different types of diets? Use two-way ANOVA to test the hypothesis at the 5% significance level. A researcher wants to determine whether there are any differences in blood pressure among people who exercise at different times of day and who consume different types of diets. They randomly assign 100 participants to one of six groups: a group that exercises in the morning and follows a low-fat diet, a group that exercises in the morning and follows a high-fat diet, a group that exercises in the afternoon and follows a low-fat diet, a group that exercises in the afternoon and follows a high-fat diet, a group that exercises in the evening and follows a low-fat diet, and a group that exercises in the evening and follows a high-fat diet. After 8 weeks, they measure each participant's blood pressure and obtain the following results: Morning exercise, low-fat diet group: mean blood pressure 120, standard deviation = 10 Morning exercise, high-fat diet group: mean blood pressure = 125, standard deviation = 12 Afternoon exercise, low-fat diet group: mean blood pressure = 115, standard deviation = 8 Afternoon exercise, high-fat diet group: mean blood pressure = 130, standard deviation = 14 Evening exercise, low-fat diet group: mean blood pressure = 118, standard deviation = 11 Evening exercise, high-fat diet group: mean blood pressure = 133, standard deviation = 15 Is there evidence of a statistically significant difference in blood pressure among people who exercise at different times of day and who consume different types of diets? Use two-way ANOVA to test the hypothesis at the 5% significance level.

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