Question

The national average of college students on a test of sports trivia is 50 with a...

The national average of college students on a test of sports trivia is 50 with a standard deviation of 5. A sportscaster is interested in whether BC students know less about sports than the national average. The sportscaster tests a random sample of 25 BC students and obtains a mean of 48 Use an alpha level of 0.05.

1.  Using symbols state the null hypothesis

Homework Answers

Answer #1


n = 25


Now, the value of test static can be found out by following formula:

Since = 0.05, the boundaries of the critical region are -Z_0.05 = -1.6452 and we note that Z0 falls in the critical region. Therefore, H0 is rejected, and we concluded that the mean is not equal to 50.0

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Nationally, the average number of hours college students contributed to a governor’s election campaign to be...
Nationally, the average number of hours college students contributed to a governor’s election campaign to be no more than 10 hours a week. A random sample of 100 students averaged 8 hours a week with a standard deviation of 3 hours. Test the hypothesis that students in this sample contributed less hours to the campaign than the national college population? Set α=.05 level. What is the conclusion of the test? A) Yes, students in this sample contributed less hours to...
The college bookstore tells prospective students that the average cost of its textbooks for one quarter...
The college bookstore tells prospective students that the average cost of its textbooks for one quarter is $180 with a population standard deviation of $22.50. A group of smart statistics students thinks that the average cost is higher. In order to test the bookstore’s claim against their alternative, the students will select a random sample of size 35. Assume that the mean from their random sample is $185.25. Perform a hypothesis test with α = 0.05 and state your conclusion....
I want to make a test whether the average weight of the students in the college...
I want to make a test whether the average weight of the students in the college is greater than 60 kg or not, i.e., we want to test the following hypothesis ?0 : ? = 60 vs ?1 : ? > 60. I will make the test using ?̅ as our test statistic and reject the null hypothesis if ?̅ ≥ 62. Take σ=10 and assume i will pick 50 students. 1) What is type 1 error that we commit...
7) A recent national survey found that high school students watched an average (mean) of 7.1...
7) A recent national survey found that high school students watched an average (mean) of 7.1 movies per month with a population standard deviation of 1.0. The distribution of number of movies watcher per month follows the normal distribution. A random sample of 41 college students revealed that the mean number of movies watched last month was 6.6. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students? a) State...
A survey of first-year and second-year students at a large university asked if students were satisfied...
A survey of first-year and second-year students at a large university asked if students were satisfied with college life. We are interested in whether there is a difference between first and second-year students with respect to this question. You performed a hypothesis test and found there was no evidence of a difference between first and second-year students in response to this question. You based this conclusion on a test using alpha = 0.01. Would you have made the same decision...
The overall average score on a test of Emotional Intelligence is 50 for the general population.  A...
The overall average score on a test of Emotional Intelligence is 50 for the general population.  A member of the admissions committee for the Ph.D. program in clinical psychology at OU wants to know whether applicants to the program are higher in Emotional Intelligence than the general population.  Twenty-five applicants were randomly selected from the applicant pool and were given the Emotional Intelligence test.  The applicants’ mean score was 60 with a standard deviation of 10.  Use an alpha level equal to 0.01 to...
2. The College Board reported that the mean SAT score in 2009 was 540 for all...
2. The College Board reported that the mean SAT score in 2009 was 540 for all US High School students that took the SAT. A teacher believes that the mean score for his students is greater than 540. He takes a random sample of 50 of his students and the sample mean score for the 25 students is 565 with a sample standard deviation of 100. Does he have evidence that his students, on average, do better than the national...
A recent national survey found that high school students watched an average (mean) of 7.6 DVDs...
A recent national survey found that high school students watched an average (mean) of 7.6 DVDs per month with a population standard deviation of 0.5 hours. The distribution of times follows the normal distribution. A random sample of 61 college students revealed that the mean number of DVDs watched last month was 7.0. At the 0.01 significance level, can we conclude that college students watch fewer DVDs a month than high school students? Use α = 0.01. a. State the...
A SRS of 42 students are polled and asked if their average speed exceeded the speed...
A SRS of 42 students are polled and asked if their average speed exceeded the speed limit on 19th avenue. From the sample 30 admit to exceeding the speed limit. Using alpha α=0.05α=0.05, test the claim that the proportion of students who admitted to exceeding the speed limit is less than 75%. In space provided, using a standard keyboard (no special symbols needed), to do the following. (a) Write the null and alternative hypothesis. (b) Check conditions. (c) Show the...
1.) According to a lending​ institution, students graduating from college have an average credit card debt...
1.) According to a lending​ institution, students graduating from college have an average credit card debt of ​$4,200. A random sample of 40 graduating seniors was selected, and their average credit card debt was found to be ​$4,542. Assume the standard deviation for student credit card debt is $1,100. Using alphaαequals=0.01​, complete parts a through d below. a. what is the test statistic? b. what are the critical scores? c.fill in the blank: because the test statistic ___________________ _________ the...