Question

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 this hypothesis test, rounded to four decimal places?

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

Homework Answers

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
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 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...
1. Consider the following hypothesis test: Ho : μ = 15 H1 : μ ≠ 15...
1. Consider the following hypothesis test: Ho : μ = 15 H1 : μ ≠ 15 A sample of 50 provided a sample mean of 15.15. The population standard deviation is 3. a. Compute the value of the test statistic. b. What is the p value? c. At α = 0.05, what is the rejection rule using the critical value? What is your conclusion? 2. Consider the following hypothesis test: Ho: μ ≤ 51 H1: μ > 51 A sample...
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. H0 :  μ 1− μ 2=0H0 :  μ 1− μ 2=0 H1 :  μ 1− μ 2 ≠ 0H1 :  μ 1− μ 2 ≠ 0 α =0.02 α =0.02 n1=37n1=37 x̄ 1=2,263 x̄ 1=2,263 σ 1=150 σ 1=150 n2=33n2=33 x̄ 2=2,309 x̄ 2=2,309 σ 2=177.3 σ 2=177.3 Standard Normal Distribution Table a. Calculate the test statistic. z=z= Round...
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...
1. Consider the following hypothesis test: Ho: μ = 15 H1: μ ≠ 15 A sample...
1. Consider the following hypothesis test: Ho: μ = 15 H1: μ ≠ 15 A sample of 50 provided a sample mean of 15.15. The population standard deviation is 3. a. Compute the value of the test statistic. b. What is the p value? c. At α = 0.05, what is the rejection rule using the critical value? What is your conclusion?
Test Ho: µ =100; H1: µ < 100, using n = 36 and alpha = .05...
Test Ho: µ =100; H1: µ < 100, using n = 36 and alpha = .05 If the sample mean=106 and the sample standard deviation = 15, which of the following is true? A. test statistic = 2.4; the critical value = -1.69; we fail to reject Ho. B. test statistic = 1.96; the critical value = -1.69; we fail to reject Ho. C. test statistic = 2.40; the critical value = -1.69; we reject Ho. D. test statistic =...
A researcher wants to test if the mean annual salary of all lawyers in a city...
A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 51 lawyers selected from the city reveals a mean annual salary of $105000. Assume that σ=$20000, and that the test is to be made at the 2% significance level. What are the critical values of z? -1.645 and 1.645 -1.28 and 1.28 -2.33 and 2.33 -2.05 and 2.05 What is the value of the test statistic,...
Consider the following hypotheses and sample​ data, alpha=0.10 H0​: μ≤15 H1: μ>15 17, 21,14,20,21,23,13,21,17,17      A- Determine...
Consider the following hypotheses and sample​ data, alpha=0.10 H0​: μ≤15 H1: μ>15 17, 21,14,20,21,23,13,21,17,17      A- Determine the critical​ value(s) B- Find test statistic tx C- Reject or do not reject null hypothesis D- Use technology to determine the​ p-value for this test. Round to three decimal places as needed.
Consider the following hypothesis test for the mean of a normally distributed population: Ho: μ=80. A...
Consider the following hypothesis test for the mean of a normally distributed population: Ho: μ=80. A random sample of size 40 is to be taken. The population standard deviation is 20. Write the rejection rule using critical value method; use α=4%. Please clearly identify the test-statistic (t or z or F etc).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT