Question

In a hypothesis test with hypotheses H 0 : μ = 90 and H 1 :...

In a hypothesis test with hypotheses H 0 : μ = 90 and H 1 : μ ≠ 90 , a random sample of 16 elements selected from the population produced a mean of 85.8 and a standard deviation of 5.7. The test is to be made at the 10% significance level. Assume the population is normally distributed.

What are the critical values of t?

-1.341 and 1.341

-1.746 and 1.746

-1.753 and 1.753

-1.645 and 1.645

What is the value of the test statistic, t, rounded to three decimal places?

What is the p-value for this hypothesis test, rounded to four decimal places?

Should you reject or fail to reject the null hypothesis in this test?

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
In a hypothesis test with hypotheses H 0 : μ ≤ 45 and H 1 :...
In a hypothesis test with hypotheses H 0 : μ ≤ 45 and H 1 : μ > 45 , a random sample of 69 elements selected from the population produced a mean of 47.3. Assume that σ = 7.3, and that the test is to be made at the 2.5% significance level. What is the critical value of z? -1.96 1.96 -1.65 1.65 What is the value of the test statistic, z, rounded to three decimal places? What is...
In a hypothesis test with hypotheses Ho: μ ≥ 80 and H1: μ < 80 and...
In a hypothesis test with hypotheses Ho: μ ≥ 80 and H1: μ < 80 and , a random sample of 105 elements selected from the population produced a mean of 74.6. Assume that σ= 23.3, and that the test is to be made at the 5% significance level. -What is the critical value of z? -1.96, 1.645, 1.96 or -1.645 -What is the value of the test statistic, z, rounded to three decimal places? -What is the p-value for...
20) A test of significance is conducted for the hypotheses H 0 : μ = 200    vs.    H...
20) A test of significance is conducted for the hypotheses H 0 : μ = 200    vs.    H a : μ > 200. Suppose the z −score for this test was calculated as z =0.76. What is the P-value for this test of significance? Give your answer to four decimal places. 22) A one sample t −test of significance is conducted for the hypotheses H 0 : μ = 1000    vs.    H a : μ < 1000 using a sample of size 100. The...
Conduct the stated hypothesis test for  μ 1− μ 2. μ 1− μ 2. Assume that the...
Conduct the stated hypothesis test for  μ 1− μ 2. μ 1− μ 2. Assume that the samples are independent and randomly selected from normal populations with equal population variances ( σ 12= σ 22)( σ 12= σ 22). H0 :  μ 1− μ 2=0H0 :  μ 1− μ 2=0 H1 :  μ 1− μ 2 < 0H1 :  μ 1− μ 2 < 0 α =0.025 α =0.025 n1=27n1=27 x̄ 1=8.76 x̄ 1=8.76 s1=1.26s1=1.26 n2=25n2=25 x̄ 2=9.44 x̄ 2=9.44 s2=1.29 a. Calculate the test...
Use a​ t-test to test the claim about the population mean μ at the given level...
Use a​ t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. ​Claim: μ ≠ 24​; α=0.10    Sample​ statistics: x overbar = 21.4​, s = 4.2 ​, n equals = 11 What are the null and alternative​ hypotheses? Choose the correct answer below. A.H0​: μ≠24    Ha​: μ=24 B.H0​: μ≤24    Ha​: μ>24 C.H0​: μ=24 Ha​: μ≠24 D.H0​: μ≥24 Ha​: μ than<24...
Test the claim about the population mean μ at the level of significance α. Assume the...
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Write out null and alternative hypotheses, your critical t-score and your t-test statistic. Decide whether you would reject or fail to reject your null hypothesis. Claim μ ≥ 13.9 α = 0.05 Sample statistics: x̅ = 13, s = 1.3, n = 10 H0: Ha: t0: t-test statistic: Decision:
You wish to test the following claim ( H a H a ) at a significance...
You wish to test the following claim ( H a H a ) at a significance level of α = 0.005 α = 0.005 . H o : μ = 53.3 H o : μ = 53.3 H a : μ ≠ 53.3 H a : μ ≠ 53.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 33 n = 33 with a mean of...
You wish to test the following claim ( H 1 ) at a significance level of...
You wish to test the following claim ( H 1 ) at a significance level of α = 0.001 . H o : μ = 66.5 H 1 : μ ≠ 66.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 72 with a mean of M = 62.5 and a standard deviation of S D = 13.5 . What is the critical value for this...
You wish to test the following claim ( H 1 ) at a significance level of...
You wish to test the following claim ( H 1 ) at a significance level of α = 0.005 . H o : μ = 78.7 H 1 : μ < 78.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 7 with a mean of ¯ x = 74.8 and a standard deviation of S D = 5.4 . What is the critical value for...
You wish to test the following claim ( H 1 ) at a significance level of...
You wish to test the following claim ( H 1 ) at a significance level of α = 0.005 . H o : μ = 89.1 H 1 : μ ≠ 89.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 5 with a mean of ¯ x = 68.8 and a standard deviation of S D = 19.7 . What is the critical value for...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT