In a left-tailed hypothesis for a population mean where the population standard deviation is unknown, thetest statistic for a random sample of size 54 was calculated to be -2.8151. Determine the p-value for thetest.Op-value < 0.0005O0.0005 < p-value < 0.005O0.005 < p-value < 0.0100.01 < p-value < 0.025O0.025 < p-value < 0.05O0.05 < p-value < 0.10Op-value > 0.10> Next Question

Answer - Given a left tailed hypothesis test With unknown standard deviation. The…

Answered: In a left-tailed hypothesis for a…

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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The mean SAT score in mathematics is 531. The standard deviation of these scores is 42. A special preparation course claims that the mean SAT score, u, of its graduates is greater than 531. An independent researcher tests this by taking a random sample of 14 students who completed the course; the mean SAT score in mathematics for the sample was 540. Assume that the population is normally distributed. At the 0.10 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 531? Assume that the population standard deviation of the scores of course graduates is also 42. 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 H₁ . Ho: μ ≤ 531 H₁ : µ > 531 (b) Determine the type of test statistic to use. Z (c)…
The mean consumption of water per household in a city was 1239 cubic feet per month Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 92 househoids was found to be 1157 cubic feet per month. The population standard deviation is given to be 251 cubic feet a. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaipn by the city council. Would you reject the null hypothesis at a = 0.025? Round your answer to four decimal places. pvalue =i We b. Make the test of part a using the critical-value approach and a = 0.025. Round your answer for z to two decimal places. Zoberved We We conclude that the mean consumption of water per household has due to the campaign by the city council.
The mean SAT score in mathematics is 587. The standard deviation of these scores is 42. A special preparation course claims that the mean SAT score, μ, of its graduates is greater than 587. An independent researcher tests this by taking a random sample of 100 students who completed the course; the mean SAT score in mathematics for the sample was 596. At the 0.10 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 587? Assume that the population standard deviation of the scores of course graduates is also 42. 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 H₁, and the alternative hypothesis H₁. H₁ :] H₁:0 (b) Determine the type of test statistic to use. t Degrees of freedom: (c) Find the value of the test statistic. (Round to…
Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 32 drivers over the age of 60 and finds that the mean number of miles driven is 22.9. The population standard deviation is 3.1 miles. At α=0.05, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the P-value method with a graphing calculator. Find the P-value. Round it to four decimal places.
The yield is observed for 90 batches of ceramic substrate to which a metal coating is applied by a vapor-deposition process. Test the null hypothesis that the mean yield is 90.0 versus the alternative hypothesis that it is different from 90.0, using α = 0.05. Show all parts of the test, including the p-value and how you use it to reach your conclusion. Mean=89.3756, Standard deviation=4.3159
The mean SAT score in mathematics is 513. The standard deviation of these scores is 49. A special preparation course claims that the mean SAT score, μ, of its graduates is greater than 513. An independent researcher tests this by taking a random sample of 70 students who completed the course; the mean SAT score in mathematics for the sample was 517. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 513? Assume that the population standard deviation of the scores of course graduates is also 49. Perform a one-tailed test. 1. I just need to know what the test statistic is rounded to 3 or more decimal places.
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A simple random sample of 195 males was taken and their birth weights measured. The sample had a mean of 3272.8 g and standard deviation of 660.2 g. Use a 0.01 significance level to test the claim that the population mean of birth weights of males is less than 3400 g. Use the p-value method. Include a diagram of the distribution indicating important components of the question.
A given distribution has a population mean, 128 and a population standard deviation, oof 5. Compute the raw, -value associated with a Z-score of 0.19.
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A random sample of 100 observations from a quantitative population produced a sample mean of 28.0 and a sample standard deviation of 6.5. Use the p-value approach to determine whether the population mean is different from 31.

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