Answer:
Using the critical value method we need to find a critical value in the t distribution who accumulates 0.025 of the area on the right and we got:
So then since our calculated value is lower then the critical value we fail to reject the null hypothesis and we can't conclude that the true mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly.
Step-by-step explanation:
Information given
represent the mean for sample of people who do not exercise
represent the mean for sample of people who do exercise
represent the sample standard deviation for 1
represent the sample standard deviation for 2
sample size for the group 1
sample size for the group 2
Significance level
t would represent the statistic
System of hypothesis
We want to verify if the mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic for this case would be given by:
(1)
The degrees of freedom are given by:
Replacing the info given we got:
Using the critical value method we need to find a critical value in the t distribution who accumulates 0.025 of the area on the right and we got:
So then since our calculated value is lower then the critical value we fail to reject the null hypothesis and we can't conclude that the true mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly.