The mean SAT score in mathematics is 554. The standard deviation of these scores is 39. A special preparation course claims that the mean SAT score, µ, of itsgraduates is greater than 554. An independent researcher tests this by taking a random sample of 60 students who completed the course; the mean SAT scorein mathematics for the sample was 567. At the 0.01 level of significance, can we conclude that the population mean SAT score for graduates of the course isgreater than 554? Assume that the population standard deviation of the scores of course graduates is also 39.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,.Ho:H, :0(b) Determine the type of test statistic to use.D=0OSO(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)O

Given : Claim : The population mean SAT score of its graduates is greater than 554.

Answered: The mean SAT score in mathematics is…

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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On the PSAT test taken by about 1.5 million high school juniors each year, the mean score on the reading portion of the test was 46.9, with a standard deviation of 10.9. The scores are normally distributed. If a student needed a score on this portion of the test that put them in the top 5% of scores nationally to qualify for a particular scholarship, what is the minimum score they must achieve?
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.
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 3030 scores from all of the students who took the test. She sees that the mean score is 169169 with a standard deviation of 7.06747.0674. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 1313. Is there evidence that the standard deviation of test scores has decreased at the α=0.005α=0.005 level? Assume the population is normally distributed. Step 1 of 5: State the null and alternative hypotheses. Round to four decimal places when necessary. Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5: Make the…
Humerus bones from the same species of animal have approximately the same length-to-width ratios. It is known that Species A has a mean ratio of 5.9. Suppose that 100 fossil humerus bones were unearthed at a site where Species A is known to have flourished. (We assume that all bones are from the same species.) The length-to-width ratios of these bones have a sample mean 5.6 and sample standard deviation 0.25. Can we conclude that the mean ratio of these bones is significantly smaller than those of Species A? Test with a 0.01 significance level. What is the standard error?
The mean SAT score in mathematics is 228. The standard deviation of these scores is 30. A special preparation course claims that the mean SAT score, H, of its graduates is greater than 258. An independent researcher tests this by taking a random sample of 20 students who completed the course; the mean SAT Score in mathematics for the sample was 209. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 2587 Assume that the population standard deviation of the scores of course graduates is also 30. 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. H :0 H :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more…
Steve believes that his wife's cell phone battery does not last as long as his cell phone battery. On eight different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 19.7 hours with a standard deviation of 9.4 hours. He measured the length of time his wife's cell phone battery lasted on twelve different occasions and calculated a mean of 18.9 hours with a standard deviation of 5.3 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve's cell phone and Population 2 be the battery life of his wife's cell phone. Step 1 of 2: Construct a 90 % confidence interval for the true difference in mean battery life between Steve's cell phone and his wife's. Round the endpoints of the interval to one decimal place, if necessary.
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