Question

In: Statistics and Probability

To test the following hypotheses at the 0.05 level of​ significance, using a sample size of...

To test the following hypotheses at the 0.05 level of​ significance, using a sample size of

nequals=15.

H00

​:

sigmaσsquared2equals=0.05

HSubscript Upper AA

​:

sigmaσsquared2not equals≠0.05

What is the upper tail critical​ value? Round to three decimal places as needed.

A.

27.488

B.

23.685

C.

26.119

D.

24.996

Solutions

Expert Solution

We have given that,

Alpha=0.05

n=15

Hypothesis,

H0: sigma2=0.05

Vs H1: Sigma2 =! 0.05

Upper critical region is

Chi-square(n-1, 1-alpha/2) =chi-square (15-1, 1-0.05/2)

=chi-square (14, 1-0.025)

=chi_square (14, 0.975)

=26.119

Option 'C' is correct.

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Test at the α = 0.05 significance level whether the mean of a random sample of...
Test at the α = 0.05 significance level whether the mean of a random sample of size n = 16 is statistically significantly less than 10 if the distribution from which the sample was taken is normal, ?̅= 8.4 and ? 2 = 10.24. a) What is the appropriate test you can use to test the claim? b) What are the null and alternative hypotheses for this test? c) What is your conclusion? d) Find the confidence interval on the...
(a) Test at the 0.05 level of significance whether the sample of male BMI observations is...
(a) Test at the 0.05 level of significance whether the sample of male BMI observations is enough to show that the mean BMI for males exceeds 25.5. Show your manual calculations (you may use Excel to summarize the sample data). (b) Explain whether your test satisfies the underlying assumptions, with reference to a boxplot of the sample data. bmi_male bmi_female OW_male OW-female 26.9 19.4 1 0 29.9 23.1 1 0 28.2 24.8 1 0 30.5 18.4 1 0 25.6 29.9...
1. Given the following data, test at the 0.05 level of significance to see if the...
1. Given the following data, test at the 0.05 level of significance to see if the number of dogs treated at two different vet clients differs. Assume variances are equal. Clinic A (doges treated per 10 randomly selected day); 10, 11, 15, 4, 8, 9, 14, 5, 18, 20 Clinic B (dogs treated per 7 randomly selected day): 11, 16, 15, 18, 14, 16, 18 2. Given the following data, test to see if the company with newer technology has...
Conduct a test at the a = 0.05 level of significance by determining (a) the null...
Conduct a test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses (b) the test statistic (c) the critical value, and (d) the P-value. Assume that the samples were obtained independently using simple random sampling. 1. Test whether p1 is not equal to p2. Sample data: x1 = 804, n1 = 874, x2 = 902, n2 = 954
Test the following hypotheses and interpret your findings. Hypothesis Sample Findings Sample Size Confidence Level Your...
Test the following hypotheses and interpret your findings. Hypothesis Sample Findings Sample Size Confidence Level Your Test Results Your Findings Mean: 7.5 Std. Dev.: 1.2 Mean: 8.5 670 95% Percent: 86% p = 95% 1000 99% Mean: 125 Std. Dev.: 15 135 500 95% Percent: 33% p = 31 120 99%
Using a significance level of 0.05 to compare results of treatment for carpal tunnel syndrome, test...
Using a significance level of 0.05 to compare results of treatment for carpal tunnel syndrome, test that the proportion for surgery is greater than the proportion for splints.             group               Number of successes               sample size                  surgery                                    60                                100             splints                                      50                                100
Using a significance level of 0.05 to compare results of treatment for carpal tunnel syndrome, test...
Using a significance level of 0.05 to compare results of treatment for carpal tunnel syndrome, test that the proportion for surgery is greater than the proportion for splints.             group             Number of successes            sample size               surgery                                              64                        80             splints                                    56                         80
Test the given claim using the α=0.05 significance level and assuming that the populations are normally...
Test the given claim using the α=0.05 significance level and assuming that the populations are normally distributed and that the population variances are equal. Claim: The treatment population and the placebo population have the same means. Treatment group: n=9, x¯=110, s=5.9. Placebo group: n=7, x¯=116,s=5.7. The test statistic is =___________ The positive critical value is =__________ The negative critical value is =________ Is there sufficient evidence to warrant the rejection of the claim that the treatment and placebo populations have...
You wish to test the following claim (Ha) at a significance level of α = 0.05....
You wish to test the following claim (Ha) at a significance level of α = 0.05. Ho: μ = 58.9 Ha: μ < 58.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 34 with mean M = 54.2 and a standard deviation of SD = 8.3. 1. What is the test statistic for this sample? (Report answer accurate to THREE decimal places.) test statistic =...
A random sample of 854 births included 431 boys. Use a 0.05 significance level to test...
A random sample of 854 births included 431 boys. Use a 0.05 significance level to test the claim that 51.4​% of newborn babies are boys. Do the results support the belief that 51.4​% of newborn babies are​ boys? Identify the null and alternative hypotheses for this test. Identify the test statistic for this hypothesis test. Identify the​ P-value for this hypothesis test. Identify the conclusion for this hypothesis test. Do the results support the belief that 51.4​% of newborn babies...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT