a doctor claims that the mean number of hours of sleep that seniors in high school get per night differs…

a doctor claims that the mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night. to investigate, he selects a random sample of 50 high - school seniors from all high schools in his county. he also selects a random sample of 50 seniors from the colleges in his county. he constructs a 95% confidence interval for the true mean difference in the number of hours of sleep for seniors in high school and seniors in college. the resulting interval is (0.57, 1.25). based upon the interval, can the doctor conclude that mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night?\no yes because 1 is in the confidence interval\no yes because 0 is not in the confidence interval\no no because 1 is in the confidence interval\no no because 0 is not in the confidence interval

a doctor claims that the mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night. to investigate, he selects a random sample of 50 high - school seniors from all high schools in his county. he also selects a random sample of 50 seniors from the colleges in his county. he constructs a 95% confidence interval for the true mean difference in the number of hours of sleep for seniors in high school and seniors in college. the resulting interval is (0.57, 1.25). based upon the interval, can the doctor conclude that mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night?\no yes because 1 is in the confidence interval\no yes because 0 is not in the confidence interval\no no because 1 is in the confidence interval\no no because 0 is not in the confidence interval

Answer

Explanation:

Step1: Understand confidence - interval concept

A confidence interval for the difference in means is used to test if the means are different. If the confidence interval for the difference in means ($\mu_1-\mu_2$) contains 0, we cannot conclude that the two population means are different. If it does not contain 0, we can conclude that the two population means are different.

Step2: Analyze the given interval

The 95% confidence interval for the true mean difference in the number of hours of sleep for high - school seniors and college seniors is (0.57, 1.25). Since 0 is not in this interval.

Answer:

yes because 0 is not in the confidence interval