Question

Hypothesis Testing for Population Means When the Population Standard Deviation is NOT known. Use the t-distribution...

Hypothesis Testing for Population Means When the Population Standard Deviation is NOT known.

Use the t-distribution tables, Table C for these questions. For each of the following situations complete the steps listed below.

a. State the Alternative and null Hypotheses.

b. State the Level of Significance

c. Calculate the Test Statistic.

d. Draw a conclusion as to Rejecting or Failing to Reject the Null.

Teacher’s salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The state mean is $33,600, but teachers in one district claim that the mean in their district is significantly lower. They survey a simple random sample of 22 teachers in the district and calculate a mean salary of $32,400 with a standard deviation of $1,520. Test the teachers’ claim at the 0.01 level of significance.

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
Bob claims that a population mean u=94. The value of the population standard deviation is known...
Bob claims that a population mean u=94. The value of the population standard deviation is known to be o=10. To test Bob's claim, we take a simple random sample of size n=70 from this population. The sample mean turns out to be x=107. Use the information from the sample to test Bob's claim at the a(alpha) =0.05 significance level. Report the final result of the hypothesis test. A. Reject the null hypothesis B. Cannot reject the null hypothesis
Hypothesis Tests for Population Means when the Standard Deviation is Known A national business magazine reports...
Hypothesis Tests for Population Means when the Standard Deviation is Known A national business magazine reports that the average age of retirement for women executives is 61.0. A women’s rights organization believes that this value does not accurately depict the current trend in retirement. To test this, the group polled a simple random sample of 95 recently retired women executives and found that they had a mean age of retirement of 61.5. Assuming the population standard deviation is 2.5 years,...
While testing a claim about population mean, if the value of the population standard deviation σ...
While testing a claim about population mean, if the value of the population standard deviation σ is not known, then the distribution we use:CHOOSE    Binomial Distribution Standard Normal Distribution None Student's t-Distribution With H0: p = 0.4, Ha: p < 0.4 , the test statistic is z = – 1.68. Using a 0.05 significance level, the P-value and the conclusion about null hypothesis are:    0.0465; reject H0 0.093; fail to reject H0 0.9535; fail to reject H0 0.0465;...
6.The expected mean of a normal population is 100, and its standard deviation is 12. A...
6.The expected mean of a normal population is 100, and its standard deviation is 12. A sample of 49 measurements gives a sample mean of 96. Using the α = 0.01 level of significance a test is to be made to decide between “population mean is 100” or “population mean is different than 100.” a) State null H0. b) What conclusion can be drawn at the given level of significance α = 0.01. c) What conclusion can be drawn if...
6. The expected mean of a normal population is 100, and its standard deviation is 12....
6. The expected mean of a normal population is 100, and its standard deviation is 12. A sample of 49 measurements gives a sample mean of 96. Using the α = 0.01 level of significance a test is to be made to decide between “population mean is 100” or “population mean is different than 100.” a) State null H0. b) What conclusion can be drawn at the given level of significance α = 0.01. c) What conclusion can be drawn...
A.which distribution is used for proportions and means when the population standard deviation is known? B.which...
A.which distribution is used for proportions and means when the population standard deviation is known? B.which distribution is used for means when the population standard deviation is unknown?
.6 The expected mean of a normal population is 100, and its standard deviation is 12....
.6 The expected mean of a normal population is 100, and its standard deviation is 12. A sample of 49 measurements gives a sample mean of 96. Using the α = 0.01 level of significance a test is to be made to decide between “population mean is 100” or “population mean is different than 100.” a) State null H0. b) What conclusion can be drawn at the given level of significance α = 0.01. c) What conclusion can be drawn...
The mean age when smokers first start is 13 years old with a population standard deviation...
The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 34 smokers found that their mean starting age was 12.1 years old. Do the data support the claim at the 1% significance level? ho=...
Label as True or False   When the population standard deviation is known you can always use...
Label as True or False   When the population standard deviation is known you can always use a critical Z value to construct a confidence interval__________ In a hypothesis test, if P > α then we reject H0__________ After calculating a minimum sample size you should always bump up to the next whole number for your final answer __________ In a hypothesis test, the type of test (left, right or two-tailed) is determined by inequality/equality symbol associated with the original claim____________...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1 = 5 had a sample mean of x1 = 8. An independent random sample of n2 = 64 measurements from a second population with population standard deviation σ2 = 6 had a sample mean of x2 = 11. Test the claim that the population means are different. Use level of significance 0.01.(a) Check Requirements: What distribution does the sample test statistic follow? Explain. The...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT