Two universities in the same state are bitter rivals. Each university believes that it's students are more physically fit than the students at the other university. To test the claim that there is a difference in the average fitness levels of students at the two universities, 36 randomly selected students at the first university were surveyed and exercised for a mean of 2.9 hours per week. A random sample of 38 students at the second university was also surveyed, and exercised for a mean of 2.7 hours per week. Assume that the population standard deviation for hours of exercise at the first university is known to be 1.1 hours per week and the population standard deviation for the second university is known to be 1.0 hour per week. Use a 0.05 level of significance to perform a hypothesis test to determine if there is a difference in the average fitness levels of students at the two universities. State the null and alternative hypothesis Determine which distribution to use for the test statistic, and state state the level of significance Gather data and calculate the necessary sample statistics Draw a conclusion and interpret the decision Show the calculation
Two universities in the same state are bitter rivals. Each university believes that it's students are more physically fit than the students at the other university. To test the claim that there is a difference in the average fitness levels of students at the two universities, 36 randomly selected students at the first university were surveyed and exercised for a mean of 2.9 hours per week. A random sample of 38 students at the second university was also surveyed, and exercised for a mean of 2.7 hours per week. Assume that the population standard deviation for hours of exercise at the first university is known to be 1.1 hours per week and the population standard deviation for the second university is known to be 1.0 hour per week. Use a 0.05 level of significance to perform a hypothesis test to determine if there is a difference in the average fitness levels of students at the two universities.
State the null and alternative hypothesis
Determine which distribution to use for the test statistic, and state state the level of significance
Gather data and calculate the necessary sample statistics
Draw a conclusion and interpret the decision
Show the calculation
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