A sample of n=37 data values randomly collected from a normally distributed population has variance s2=24.5. We wish to test the null hypothesis H0:σ2=18.9 against the alternative hypothesis H1:σ2>18.9 at a significance of α=0.10 What is the value of the test statistic? Write your answer rounded to 3 decimal places. What is the PP-value? Write your answer rounded to 3 decimal places.

A repeated-measures study with a sample of n=9 participants produces a mean difference of Md = 3 with a standard deviation of s=6. Use a two-tailed hypothesis test with a=.05 to determine whether it is likely that this sample came from a population with ud= 0.               Now assume that the sample mean difference is Md=12 and repeat the hypothesis test. Use a two-tailed hypothesis test with a=.05 to determine whether it is likely that this sample came from a population with u=0.               Explain how the size of the sample mean difference influences the likelihood of finding a significant mean difference.

A recent national survey found that high school students watched an average (mean) of 7.0 movies per month with a population standard deviation of 0.6. The distribution of number of movies watched per month follows the normal distribution. A random sample of 43 college students revealed that the mean number of movies watched last month was 6.5. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?   State the null hypothesis and the alternate hypothesis.     H0: μ ≥ 7.0; H1: μ < 7.0 H0: μ = 7.0; H1: μ ≠ 7.0 H0: μ > 7.0; H1: μ = 7.0 H0: μ ≤ 7.0; H1: μ > 7.0     State the decision rule.     Reject H1 if z < –1.645 Reject H0 if z > –1.645 Reject H1 if z > –1.645 Reject H0 if z < –1.645 1. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

A sample of 100 observations from a normal population has a mean of 50 and a standard deviation of 10. The null hypothesis is that the population mean is equal to 48, and the alternative hypothesis is that the population mean is greater than 48. Using a significance level of 0.05, what is the decision and conclusion of the hypothesis test?

A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. What are the null and alternative hypotheses? OA. Ho: 002 H₁:0² = 0²/2 OC. H₂:0²=0²2 H₁:0² > 0²/2 Identify the test statistic. F = (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? C OB. H₁: 0 = 0² H₁:0² +03 OD. H₂:0²=0²2 H₁:0² <0²/ O A. Reject Ho. There is sufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets. O B. Fail to reject…

A data set includes data from student evaluations of courses. The summary statistics are n = 86, x 3.93, s 0.58. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: H#4.00 O B. Ho: µ= 4.00 H4: µ=4.00 H4: µ#4.00 O C. Ho: H=4.00 O D. Ho: = 4.00 H,: p> 4.00 H,: H<4.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 4.00 correct.

A data set includes data from student evaluations of courses. The summary statistics are n = 90, x=4.19, s= 0.61. Use a 0.05 significance level to test the claim that the population of student evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Test Statistic? P-Value? Reject H0 if the P-value is less than or equal to the significance level a. Fail to reject H0, if the P-value is greater than a.

You are a researcher verifying the claim that the average adult consumes 1.7 cups of coffee per day. The population standard deviation is 0.5 cups per day. You sample 30 adults and find the average is 1.85 cups per day. Test the claim above at the alpha = 0.05 significance level. What do you conclude about the number of cups of coffee that adults consume each day?  Group of answer choices - You cannot reject the null hypothesis. Even though your sample indicated 1.85 cups, there still is not sufficient evidence to overturn the claim that adults consume 1.7 cups per day. - This is a borderline case where the test statistic and the critical values are the same. We can neither accept nor reject the null hypothesis in this case. - You reject the null hypothesis. With thirty people consuming 1.85 cups on average , there is sufficient evidence to overturn the claim that adults consume 1.7 cups per day.

1486 freshman took an algebra 1 final exam with a variance of 165.0989 , standard deviation of 12.8491 and mean of 78.0067 . 984 sophomores took the final exam in algebra 1 , with a variance of 176.5610, standard deviation of 13.2876 and a mean of 77.3628 The null hypothesis is there is no significant difference in the final exam averages across different academic years . The alternative hypothesis is there is a significant difference in the final exam averages acosss different academic years . Do we reject or fail to reject the null hypothesis ? Explain

A sample of 20 third-grade students had a average of 54 on a math proficiency test, with a sample standard deviation of 11. Is there enough evidence to conclude that the third-grade sample mean differs significantly from the third-grade population mean of 67? Assume a 0.02 significance level.  Use the Critical Value Method of Testing (this means NO P-Values!).   will need to have -1.  The null hypothesis, Ho 2.  The alternative hypothesis, H1 3.  The test statistic4.  The type of test(left, right, two-tailed) and the p-value 5.  The decision to accept Ho or reject Ho