Question

The mean GPA at a certain large university is 2.80. A random sample of 20 business...

The mean GPA at a certain large university is 2.80. A random sample of 20 business students found a mean GPA of 2.95 with a standard deviation of 0.31. Is there sufficient evidence to show that the mean GPA for business students is greater than the mean GPA for the university?

a) state the hypothesis

b) calculate the test statistic

c) find the p-value

d) make a statistical decision at a level of significance of 0.10

e) state your conclusion in the context of the problem

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 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.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The university is interested in investigating whether the mean GPA of all college students differs for...
The university is interested in investigating whether the mean GPA of all college students differs for various years in college. Samples were selected and the data was analyzed in Statistix to determine if the average GPA of sophomores, juniors, and seniors differed. The analysis is shown below: One-Way AOV for GPA by Year Source DF SS MS F P Year 2 2.7978 1.39889 9.81 0.0001 Error 85 12.1163 0.14255 Total 87 14.9141 Grand Mean 3.2259 CV 11.70 Bonferroni All-Pairwise Comparisons...
You receive a brochure from a large university. The brochure indicates that the mean class size...
You receive a brochure from a large university. The brochure indicates that the mean class size for​ full-time faculty is fewer than 32 students. You want to test this claim. You randomly select 18 classes taught by​ full-time faculty and determine the class size of each. The results are shown in the table below. At alpha equals 0.10​, can you support the​ university's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed. 34 31 29 33...
A random sample of 149 recent donations at a certain blood bank reveals that 84 were...
A random sample of 149 recent donations at a certain blood bank reveals that 84 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of 0.01. State the appropriate null and alternative hypotheses. H0: p = 0.40 Ha: p < 0.40H0: p = 0.40 Ha: p ≠ 0.40    H0: p ≠...
A simple random sample of 20 pages from a dictionary is obtained. The numbers of words...
A simple random sample of 20 pages from a dictionary is obtained. The numbers of words defined on those pages are​ found, with the results n =20​, x overbar =57.8 ​words, s =15.9 words. Given that this dictionary has 1494 pages with defined​ words, the claim that there are more than​ 70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 46.9 words. Use a 0.10 significance level to test the...
A random sample of 15 night students was taken with a sample mean GPA of 3.32...
A random sample of 15 night students was taken with a sample mean GPA of 3.32 and a standard deviation of 0.04. A random sample of 18 day students was taken with a sample mean GPA of 3.3 and a standard deviation of 0.02. Test the claim that the mean GPA of night students (μN) is different than the mean GPA of day students (μD) at α= 0.01. Assume that the data come from normal populations with unequal variances. Round...
A simple random sample of size n=  15 is drawn from a population that is normally distributed....
A simple random sample of size n=  15 is drawn from a population that is normally distributed. The sample mean is found to be x overbar equals31.1 and the sample standard deviation is found to be s=  6.3. Determine if the population mean is different from 26 at the alpha equals 0.01 level of significance. Complete parts ​(a) through ​(d) below. ​(a) Determine the null and alternative hypotheses. (b) Calculate the​ P-value. (c) State the conclusion for the test. ​(d) State the...
A large university claims the mean number of classroom hours per week for full-time faculty is...
A large university claims the mean number of classroom hours per week for full-time faculty is less than 9 hours per week. A random sample 11 faculty is selected from this university and found that the sample mean ¯x is 10 hours per week with a sample standard deviation of s = 2.15. Perform a hypothesis test for the claim at α = 0.05 level of significance? (a) Hypothesis: H0 : Ha : (b) Test Statistics= (c) Pvalue= (d) The...
An article in the San Jose Mercury News stated that students in the California state university...
An article in the San Jose Mercury News stated that students in the California state university system take 5.5 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 60 students. The student obtains a sample mean of 4.9 with a sample standard deviation of 0.3. Is there sufficient evidence to support the student's claim at an α=0.1 significance level? Preliminary: Is it safe to assume that...
From a random sample from normal population, we observed sample mean=84.5 and sample standard deviation=11.2, n...
From a random sample from normal population, we observed sample mean=84.5 and sample standard deviation=11.2, n = 16, H0: μ = 80, Ha: μ < 80. State your conclusion about H0 at significance level 0.01. Question 2 options: Test statistic: t = 1.61. P-value = 0.9356. Reject the null hypothesis. There is sufficient evidence to conclude that the mean is less than 80. The evidence against the null hypothesis is very strong. Test statistic: t = 1.61. P-value = 0.0644....
Suppose that a sample of n=400 students at the same university​ (instead of n=200​) determines that...
Suppose that a sample of n=400 students at the same university​ (instead of n=200​) determines that 25​% of the sample use the web browser. At the .05 level of​ significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of ​20.5%? a. Calculate the test statistic for the second sample. b. What is the​ p-value? c. State the conclusion of the test. _____ the null hypothesis. There is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT