(please solve within 15 minutes I will give thumbs up) Consider the following hypothesis test.Ho: wS 12Hai p> 12A sample of 25 provided a sample mean x 14 and a sample standard deviation s-4.27.(a) Compute the value of the test statistic. (Round your answer to three decimal places.)(b) Use the t distribution table to compute a range for the p-value.p-value > 0.2000.100 < p-value < 0.2000.050 < p-value < 0.100o 0.025 < p-value < 0.0500.010 < p-value < 0.025p-value < 0.010(c) At e- 0.05, what is your conclusion?Do not reject Ho. There is sufficient evidence to conclude that > 12.Do not reject Ho. There is insufficient evidence to conclude that w> 12.Reject Ho. There is insuficient evidence to conclude that w> 12.Reject Ho. There is sufficient evidence to conclude that w > 12.(d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail, Round your answer to three decimal places.)test statistic stest statistic 2What is your conclusion?Do not reject Ho. There is sufficient evidence to conclude that u> 12.Do not reject Hg. There is insufficient evidence to conclude that > 12:Reject Ho There is insufficlent evidence to condude that > 12.Reject Ho. There is sufficient evidence to conclude that > 12.

We have given that Sample size n = 25 Sample mean =14 Sample standard deviation =4.27 NOTE:-…

Answered: Consider the following hypothesis test.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random sample of 663 teens who said they did not typically eat fast food reported an average daily calorie intake of 2258, with standard deviation 1519. A random sample of 413 teens who said they did typically eat fast food reported an average daily calorie intake of 2637, with standard deviation 1138. The two populations are not terribly skewed. Based on the above description, which of the following conditions are met for conducting a hypothesis test for the equality of two means? Choose one or more that apply. Select one or more: a. Both samples are random b. Samples are independent of one another c. Both samples are normal enough given the sample size d. Two population means need to be the same
For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim. A city planner claims that the mean speed of westbound traffic along a road segment during morning peak hours is less than 50 miles per hour. In a random sample of 45 motor vehicles traveling westbound on the road segment during morning peak hours, the mean speed is 51 miles per hour. Assume the population standard deviation is 5 miles per hour. Perform the appropriate hypothesis test at α = 0.05.
If we have a sample of size 100 with sample mean breaking strength of 975 pounds from a population of rope with standard deviation 200 pounds and we wish to run a hypothesis test with this data to see if the population mean breaking strength is less than 1000 pounds, what is the P-Value of our data? 2P(Z<1.25) P(Z>1.25) P(Z>2.5) P(Z<1.25) NONE OF THE OTHERS
Under what circumstances is the t statistic used instead of the Z score for a hypothesis test?
A fast-food restaurant claims that a small order of french fries contains 120 calories. A nutritionist is concerned that the true average calorie count is higher than that. The nutritionist randomly selects 35 small orders of french fries and determines their calories. The resulting sample mean is 155.6 calories, and the pp-value for the hypothesis test is 0.00093. Which of the following is a correct interpretation of the p-value? A)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more. B) If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or less. C)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more, or a sample mean of 84.4 calories or less. .D)If the population mean is 155.6 calories, the p -value of 0.00093…
If we have a sample of size 100 with sample mean breaking strength of 1050 pounds from a population of rope with standard deviation 200 pounds and we wish to run a hypothesis test with this data to see if the population mean breaking strength differs from 1000 pounds, what is the significance of our data? 2P(Z>1.25) 2P(Z<2.5) NONE OF THE OTHERS 2P(Z>2.5) P(Z<2.5)
Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 **THAT A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ? and what is your conclusion at α=0.01? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05?
The management of ABC Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Can we conclude that the assembly time using the new method is faster? A) State H0 and Ha B) Test the hypothesis using the P-Value approach at a significance level of 1%, and express your decision.
Consider the following hypothesis test: H0: μ =18Ha: μ =18A sample of 48 provided a sample mean = 19 and a sample standard deviation s =4.7.a. Compute the value of the test statistic.b. Use the t distribution table to compute a range for the p-value.c. At α = .01, what is your conclusion?d. What is the rejection rule using the critical value? What is your conclusion?
For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim. A fitness magazine advertises that the mean monthly cost of joining a health club is less than $25. You work for a consumer advocacy group and are asked to test this claim. You find that a random sample of 18 clubs has a mean monthly cost of $26.25 and a standard deviation of $3.23. Perform the appropriate hypothesis test at α = 0.10.
In a hypothesis test, if the null hypothesis states that the population mean is equal to 100 with a standard deviation of 15, and the sample mean is 108 with a sample size of 36, what is the calculated z-score for this test?
1) Use the pulse rates in beats per minute (bpm) of a random sample of adult females listed in the data set available below to test the claim that the mean is less than 80 bpm. Use a 0.01 significance level. Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? Pulse Rates (bpm) 54 87 62 91 56 69 73 89 85 98 56 92 45 65 35 85 61 89 64 83 105 84 74 80 73 105 71 39 77 88 93 81 98 35 74 67 86 105 62 80 84 77 93 88 85 69 88 53 87 88 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. H0: μ=80 bpm H1: μ<80 bpm B. H0: μ=80 bpm H1: μ≠80 bpm C. H0: μ>80 bpm H1: μ<80 bpm D. H0: μ=80 bpm H1: μ>80 bpm 2) Determine the test statistic (Round to two decimal places as needed.) 3) Determine the P-value. (Round to three decimal places as needed.) 4) State the final conclusion that addresses the original claim. (OPTION 1-Reject,…

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