Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 14.2 minutes.The standard deviation of completion times was 1.6 minutes. An analyst at the company suspects that, under new management, themean completion time, µ, is now less than 14.2 minutes. To test this claim, a random sample of 12 completion times under newmanagement was taken by the analyst. The sample had a mean of 13 minutes. Assume that the population is normally distributed. Canwe support, at the 0.01 level of significance, the claim that the population mean completion time under new management is less than14.2 minutes? Assume that the population standard deviation of completion times has not changed under new management.Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary,consult a list of formulas.)(a) State the null hypothesis H and the alternative hypothesis H.H6 : μ 14.2H :0(b) Determine the type of test statistic to use.D=0OSODegrees of freedom:(c) Find the value of the test statistic. (Round to three or more decimal places.)oln (a) State the null hypothesis H and the alternative hypothesis H,.0.H.: μ- 14.2H :0(b) Determine the type of test statistic to use.Degrees of freedom:|D=0OSO(c) Find the value of the test statistic. (Round to three or more decimal places.)O

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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MORE BENEFITS OF EATING ORGANIC Using specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data. In this case, we are testing Họ : Po = Pc Ha: Po > Pc where p, and p. represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. Use a 5 % significance level. Effect of Organic Bananas After 25 Days After 25 days, the proportion of fruit flies eating organic bananas still alive is 0.45 , while the proportion still alive eating conventional bananas is 0.42. The standard error for the difference in proportions is 0.029. What is the value of the test statistic? Round your answer to two decimal places. z = i What is the p-value? Round your answer to three decimal places. p-value = What…
At a magic shop, the salesperson shows you a coin that he says will land on heads more than 70% of the times it is flipped. In an attempt to convince you he's correct, the salesperson asks you to try the coin yourself. You flip the coin 65 times. (Consider this a random sample of coin flips.) The coin lands on heads 49 of those times. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support the salesperson's claim that the proportion, p, of all times the coin lands on heads is more than 70%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho H: 0 D=D (b) For your hypothesis test, you will use a Z-test. Find the values of np andn (1-p) to confirm that a Z-test can be used. (One standard is that np 2 10 and n(1-p) > 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.
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Test Scores An instructor who taught an online statistics course and a classroom course feels that the variance of the final exam scores for the students who took the online course is greater than the variance of the final exam scores of the students who took the classroom final exam. The following data were obtained. At =α0.05 is there enough evidence to support the claim? Use σ21 for the variance of the online scores. Use the critical value method and tables. State the Hypothesis and Identify the claim: H0: Claim or not a claim H1: Claim or not a claim Find the critical Value: Round the answer to at least two decimal places. Compute the test value: Make the decision reject or accept the null hypothesis. Summarize the results. Is there enough evidence to support the claim? Online Course Classroom Course =s13.4 =s22.2 =n121 =n231
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(a) State the null hypothesis H, and the alternative hypothesis H . H: μ- 14.2 H :0 (b) Determine the type of test statistic to use. Degrees of freedom: D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O