Perform the following tests of hypothesis. (a) Ho: 1=285, H1: u< 285, x(mean)=267.80, s=42.90,n=55,a =0.05 (b) Ho: = 10.70,Н1 : u /= 10.70,x(mean)=12.025,s=4.90 n=47 a= 0.01
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- 5/13/10#1) Flying time on an old route between 2 cities has a mean value of µ =5.25 hours with standard deviation is o =0.6 hours. There are 36 flights on a new route where the mean is x = 4.90 hours. Does this indicate that the average flying time for the new route is less than 5.25 hours? Use a 5% level of significance.Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.1 inches. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. (b) Suppose the P-value for this test is 0.11. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. O A. Ho p=64.1 in versus H₁ µ‡64.1 in. OC. Ho μ= 63.7 in versus H₁ µ63.7 in. OB. Ho: μ-63.7 in, versus H₁: µ#63.7 in. OD. H₂ μ=64.1 in, versus H₁: µ 64.1 in.
- A certain magazine stated that the mean time for a Ford Mustang to go from 0 to 60 miles per hour is 4.1 seconds. (a) If you want to set up a statistical test to challenge the claim of 4.1 seconds, what would you use for the null hypothesis? 04.1 O = 4.1 (b) The town of Leadville, Colorado, has an elevation over 10,000 feet. Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer Leadville (because of less oxygen). What would you use for the alternate hypothesis? OH 4.1 OM 4.1 O = 4.1 (c) Suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced. What would you use for the alternate hypothesis? OH> 4.1 O μ< 4.1 OH 4.1. (d) For each of the tests in parts (b) and (c), would the P-value area be on the left, on the right, or on both sides of the mean? O left; both O right; left O left; right O both; leftA previous study showed to determine whether a sales tax on soda will reduce consumption of soda in the US below the current per-capita level of about 50 gallons of soda per year. Hypotheses Test is Ho: m(mue) =50 vs. Ha: m<50 where m (mue) represents the average annual consumption of soda in communities where the sales tax is implemented. (b) Now supposed sample results give a p-value of 0.41. Interpret this p-value in terms of random chance and in the context of taxes and soda consumption.The process that produces Purple Bars is intended to produce candy bars with a mean weight of 55 gm. The process standard deviation is known to be 0.9 gm. A random sample of 59 candy bars yields a mean weight of 54.82 gm. Which are the hypotheses to test whether the mean is smaller than it is supposed to be? H0: μ ≤ 55, H1: μ > 55 H0: μ ≥ 55, H1: μ < 55 H0: μ = 55, H1: μ ≠ 55 H0: μ < 56, H1: μ ≥ 56
- The mean number of eggs per person eaten in the United States is 266. Do college students eat a different number of eggs than the average American? The 61 college students surveyed averaged 285 eggs per person and their standard deviation was 72.6. What can be concluded at the a= 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: v Select an answer H.: vSelect an answer c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) a O The data suggest that the sample mean is not significantly different from 266 at a = 0.10, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is different from 285. O The data suggest that the…Suppose the mean IQ score of people in a certain country is 103. Suppose the director of a college obtains a simple random sample of 37 students from that country and finds the mean IQ is 107.4 with a standard deviation of 13.8. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: H= 103 versus H: u> 103. Explain what the director is testing. Perform the test at the a = 0.01 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 103. B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 103. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 103. O D. The director is testing if the sample provided sufficient evidence that…A statistician wishing to test a hypothesis that students score at most 75% on the final exam in an introductory statistics course decides to randomly select 20 students in the class and have them take the exam early. The average score of the 20 students on the exam is 72% and the standard deviation in the population is known to be = 15%. The statistician calculates the test statistic to be –0.8944. If the statistician chose to do a two-sided alternative, the P-value would be calculated by: a. finding the area to the right of –0.8944 and doubling it. b. finding the area to the left of –0.8944 and doubling it. c. finding the area to the right of the absolute value of –0.8944 and dividing it by two. d. finding the area to the left of –0.8944
- The average annual miles driven per vehicle in the United States is 11.1 thousand miles, with σ ≈ 600 miles. Suppose that a random sample of 36 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.9 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average? Use a 0.05 level of significance. What are we testing in this problem? State the null and alternate hypotheses. What sampling distribution will you use? What assumptions are you making? The standard normal, since we assume that x has a normal distribution with known σ. The Student's t, since we assume that x has a normal distribution with unknown σ. The standard normal, since we assume that x has a normal distribution with unknown σ. The Student's t, since we assume that x has a normal distribution with known σ. What is the value of the sample test statistic? (Round your answer to two…(c): Your answer is wrong. A consumer advocacy group conducts a large study on car rental practices. Among other things, the group would like to do a statistical test on the mean monthly mileage,μ, of cars rented in the US this year. The consumer advocacy group has good reason to believe that the average monthly mileage for rental cars in the US this year is higher than last year's average, which was2700miles. The group plans to perform a statistical test on the value ofμ. To do this, choose a random sample of miles driven per month and calculate that the sample mean is2835miles and the standard deviation is 750miles. Use this information to complete the parts below. (to) What are the null hypothesesh and the alternative hypothesish What should be used to perform the test? ho : μ = 2700 0 (b) (c) h : μ> 2700 1 Assume that the group decides not to reject the null hypothesis. What kind of mistake could you be making? type II Suppose the true average monthly mileage for rental cars in the…
