Question

A claim is made that the average salary for all jobs in Minnesota is greater than...

A claim is made that the average salary for all jobs in Minnesota is greater than $70,500. You are going to test the claim using α=0.05 and assume that your data is normally distributed and the population standard deviation (σ) is not known.

a. Write the null and alternative hypotheses symbolically and identify which hypothesis is the claim. Then identify if the test is left-tailed, right-tailed, or two-tailed and explain why.

b. Identify and explain which test statistic you will use for your hypothesis test: z or t? Find the value of the test statistic.

c. What is the critical value? Describe the rejection region of this hypothesis test.

d. Using the critical value approach, should you reject the null hypothesis or not reject the null hypothesis? Explain. After making your decision, restate it in non-technical terms and make a conclusion about the original claim.

e. Calculate the p-value for this hypothesis test, and state the hypothesis conclusion based on the p-value. Does this match your results from the critical value method?

This is the data I have calculated from the sample so far in Excel.

Column1
Mean 72027.32418
Standard Error 1191.296863
Median 67200
Mode 59800
Standard Deviation 22728.49557
Sample Variance 516584510.8
Kurtosis 2.010783259
Skewness 1.054389916
Range 159960
Minimum 32220
Maximum 192180
Sum 26217946
Count 364
Confidence Level(95.0%) 2342.709871

Can someone please walk me through how to do a hypothesis test? I am trying to understand the process but am lost. Thanks!

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
A claim is made that the average salary for all jobs in Minnesota is less than...
A claim is made that the average salary for all jobs in Minnesota is less than $74,500. You are going to test the claim using α=0.05 and assume that your data is normally distributed and the population standard deviation (σ) is not known. Here is the data I came up with in Excel for a Hypothesis test. Calculations/Values Formulas/Answers Mean (x-bar) 72027.32418 Standard Deviation 22728.49557 n 364 mu Test Statistic -312.9194042 Critical Value 1.644853627 P-value Salary Mean 72027.32418 Known Variance...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less than 100 at the .005 significance level. You determine the hypotheses are: Ho: μ=100 H1:μ<100 You take a simple random sample of 76 individuals and find the mean IQ score is 95.5, with a standard deviation of 15.1. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known. Round to three decimal...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less than 100 at the .01 significance level. You determine the hypotheses are: H o : μ = 100 H 1 : μ < 100 You take a simple random sample of 60 individuals and find the mean IQ score is 98.7, with a standard deviation of 14.6. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less than 100 at the .005 significance level. You determine the hypotheses are: H o : μ = 100 H 1 : μ < 100 You take a simple random sample of 95 individuals and find the mean IQ score is 95.2, with a standard deviation of 14.4. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with...
a) Identify the claim: state the null and alternative hypotheses. b) Determine the test: left-tailed, right-tailed,...
a) Identify the claim: state the null and alternative hypotheses. b) Determine the test: left-tailed, right-tailed, or two-tailed. c) Identify the degree of freedom and determine the critical value. d) Graph your bell-shaped curve and label the critical value. e) Find your standardized test statistic ? and label it on your graph. f) Decide whether to reject or fail to reject the null hypothesis. g) Interpret your result. A dealership projected that the mean waiting time at a dealership is...
Make sure to show all steps to receive full credit, that is: a) Identify the claim:...
Make sure to show all steps to receive full credit, that is: a) Identify the claim: state the null and alternative hypotheses. b) Determine the test: left-tailed, right-tailed, or two-tailed. c) Graph your bell-shaped curve and label your levels of significance or critical value. d) Find your standardized test statistic ? and label it on your graph. e) Decide whether to reject or fail to reject the null hypothesis. f) Interpret your result. 1) A dealership projected that the mean...
A college wishes to test the claim that its graduates have an average monthly salary of...
A college wishes to test the claim that its graduates have an average monthly salary of more than R30 000 per month. A random survey of ten graduates gives the following as the monthly salaries (In thousands of South African Rands): 41 30 29 25 39 41 27 26 31 34 Test the claim at a 5% level of significance: a. State the null and alternative hypothesis. b. State and calculate the appropriate test statistic. c. Determine the critical value...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less than 100 at the .05 significance level. You determine the hypotheses are: H o : μ = 100 H 1 : μ < 100 You take a simple random sample of 38 individuals and find the mean IQ score is 98.8, with a standard deviation of 15.9. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with...
t-test. Test the following claim about the population mean μ at the given level of significanceα...
t-test. Test the following claim about the population mean μ at the given level of significanceα using the given sample statistics. Assume that the population follows a normal distribution. (1) State the null hypothesis, H0, and the alternate hypothesis, Ha indicating which is the claim. You should also list the level of significance, α and state the type of hypothesis test that must be done (i.e. left-tailed, right-tailed, or two-tailed). (2) Show your calculation of the test statistic. (3) Depending...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT