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- A runner states that his average time for running a mile is 6.5 minutes. Given the following times from 8 recent mile runs, test the claim that his actual average is not what he states it to be at the a = 0.05 level of significance. 6.25 6.6 6.8 7.2 6.3 7.0 6.5 6.75please show all steps USING EXCEL ONLY FORMULASThe toll plaza on Route 1 in Dover has four tollbooths open to all vehicles. Ms. Timlin conducted a chi-square goodness of fit test to see if all of the booths are used in equally. A chi-square value of 23.4 was calculated, resulting in a p-value of 0.006. Which of the following is correct? a. There is sufficient evidence to suggest that the tollbooths are not used in equal proportions. Selected:b. There is sufficient evidence to suggest that the tollbooths are used in equal proportions.This answer is incorrect. c. The tollbooths are used in equal proportions. d. There is insufficient evidence to suggest that the tollbooths are used in equal proportions. e. There is insufficient evidence to suggest that the tollbooths are not used in equal proportions.
- The sodium content of 30 packages of 300 grams of corn flakes of a certain brand was examined. The data in milligrams: the mean is 129.753 and s = 0.929: (a) Can the assertion that the sodium content of this brand of cereal is different from 130 mg be supported? Use = 0.5, find the p-value. b) Calculate the power of the test if the true average sodium is 130.5 mg. c) What sample size would be required to detect a true average sodium content of 130.1 if we want the power to be at least 0.75? Note:The exercise in the image is in Spanish, which is the original, to make it easier to understand.Can someone please help? Thank you.In testing the hypotheses H0:p = 0.62 vs Ha: p≠ 0.62, the test statistic is calculated to be z = 2.11. Which of the following is the correct p-value? A. 0.0348 B. 0.0174 C. 0.9862 D. 1.9652
- Interpret a P-value: The manufacturer of a medication designed to lower blood pressure claims that the mean systolic blood pressure for people taking their medication is less than 135. To test this claim, blood pressure is measured for a sample of 500 people who are taking the medication. The P-value for testing Ho: μ = 135 versus H₁: µ< 135 is P = 0.001. a. The manufacturer concludes that because the P-value is very small, we can be fairly certain that the mean pressure is less than 135, but we cannot conclude that it is a lot smaller. Is this conclusion justified?Your local gas company is interested in estimating the average usage during the month of January. A random sample of 1280 households found the following results: X= 82 therms and s=28 therms. Conduct a test of hypothesis to determine if the average amount exceeds 80 therms. Use a=0.02.Which of the following is the tcritical value? 1.895 2.306 1.860 2.364 Which of the following is the calculated tstatistic value? 2.306 2.032 2.084 1.580
- State the conclusion based on the results of the test. The mean of the pressure required to open a certain valve is known to be u = 6.7 psi. Due to changes in the manufacturing process, the quality-control manager feels that the average pressure has changed. The null hypothesis was rejected. Choose the correct answer below. O A. The mean of the pressure has not changed. O B. There is not sufficient evidence that the mean of the pressure required to open a certain valve has changed. O C. There is not sufficient evidence that the mean of the pressure required to open a certain valve has not changed. O D. The mean of the pressure has changed. O E. There is sufficient evidence that the mean of the pressure required to open a certain valve has changed. O F. There is sufficient evidence that the mean of the pressure required to open a certain valve has not changed.. The statistic of z = -1.94 is obtained when testing the claim that p = 3⁄8