Question

In: Statistics and Probability

An article was released claiming that students study a mean of 250 hours per semester. You...

An article was released claiming that students study a mean of 250 hours per semester. You want to gather data to prove that the mean study time per semester for students is actually more than 250 hours. You take a sample of the students and find their mean study time to be 265 hours per semester with a standard deviation of 70 hours. Answer the following questions using α = .1

a) State the null and alternative hypotheses.

State the rejection rule, find the test statistic, and conclude whether or not you reject the null hypothesis (and with how much confidence) if:

b) the sample consisted of 25 students.

c) the sample consisted of 100 students.

Solutions

Expert Solution

a)

b)

c)

orchestra answered 2 years ago
Next > < Previous

Related Solutions

An article was released claiming that undergraduate SHU students study a mean of 250 hours per...
An article was released claiming that undergraduate SHU students study a mean of 250 hours per semester. You want to gather data to prove that the mean study time per semester for undergraduate SHU students is actually more than 250 hours. You take a sample of undergraduate SHU students and find their mean study time to be 265 hours per semester with a standard deviation of 70 hours. Answer the following questions using α = .1. 1. State the null...
In a recent study of 53 ninth-grade students, the mean number of hours per week that...
In a recent study of 53 ninth-grade students, the mean number of hours per week that they played video games was 72. The standard deviation of the population was 4.3. Find the 84% confidence interval for the mean of the time playing video games.
A professor thinks that the mean number of hours that students study the night before a...
A professor thinks that the mean number of hours that students study the night before a test is 1.75. He selected a random sample of 12 students and found that the mean number of study hours was 2.44 and the standard deviation is 1.26 hours. Test the professor’s claim at α = 0.01. a 1-6) Give the hypotheses for H0 (a1, a2 and a3) and H1 (a4, a5 and a6) H0 a1) µ or p a2) =, ≥, ≤ a3)...
3. If a random sample of 53 students was asked for the number of semester hours...
3. If a random sample of 53 students was asked for the number of semester hours they are taking this semester. The sample standard deviation was found to be s = 4.7 semester hours. How many more students should be included in the sample to be 99% sure that the sample mean x is within 1 semester hour of the population mean  for all students at this college? i. A marketer is trying two different sales pitches to sell...
1. The number of hours that biology students study per week is normally distributed with a...
1. The number of hours that biology students study per week is normally distributed with a mean of 15 hours and a standard deviation of 5 hours. a. Draw an approximate picture of the distribution of weekly hours studied for biology students. b. If a student is chosen at random, what is the probability that the student studies less than 11 hours per week? Include a picture that graphically shows the portion of students that study less than 11 hours...
, believes that the mean number of hours per day all male students at the University...
, believes that the mean number of hours per day all male students at the University use cell/mobile phones exceeds the mean number of hours per day all female students at the University use cell/mobile phones. To test President Loh’s belief, you analyze data from 29 male students enrolled in BMGT 230/230B this semester and 13 female students enrolled in BMGT 230/230B this semester. a. Assuming equal population variances, if the level of significance equals 0.05 and the one-tail p-VALUE...
A professor in the education department believes that OU students study less hours per week when...
A professor in the education department believes that OU students study less hours per week when compared to the general population of university students. The general population of university students studies an average of 15 hours a week with a standard deviation of 2. The professor randomly samples 16 OU students and discovers her sample has a mean of 12. Use an alpha level of 0.05 to determine whether OU students study less hours per week when compared to the...
According to the Carnegie unit system, the recommended number of hours students should study per unit...
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 3.1, 2.6, 2.9, 4.2, 3.9, 1.9, 0.6, 2.4, 0.8, 2.7, 4.3, 3.7, 2.1 What can be concluded at the...
A random sample of 250 students at a university finds that these students take a mean...
A random sample of 250 students at a university finds that these students take a mean of 14.3 credit hours per quarter with a standard deviation of 1.5 credit hours. Estimate the mean credit hours taken by a student each quarter using a 98​% confidence interval.
A random sample of 250 students at a university finds that these students take a mean...
A random sample of 250 students at a university finds that these students take a mean of 15.7 credit hours per quarter with a standard deviation of 1.5 credit hours. Estimate the mean credit hours taken by a student each quarter using a 98​% confidence interval.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT