A simple random sample of 17 different cereals is obtained, and the sugar content (in grams of sugar per gram ofcereal) is measured for each cereal selected. Those amounts have a mean of 0.293 gram and a standard deviation of0.165 gram. Use a 0.05 significance level to test the claim of a cereal lobbyist that the mean for all cereals is less than0.31 gram.Formulate the null and alternative hypotheses. Choose the correct answer below.OA. Ho: μ = 0.31Ha: μ>0.31OC. Ho: μ<0.31H₂: p=0.31novamalO B. Ho: μ = 0.31Ha₂: μ0.31O D. Ho: μ= 0.31Hg:μ <0.31

method: only sample information is provided. use t statistic.

Answered: A simple random sample of 17 different…

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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An automobile manufacturer has given its van a 53.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van performs under the manufacturer's MPG rating. After testing 200 vans, they found a mean MPG of 52.9. Assume the population standard deviation is known to be 1.6. Is there sufficient evidence at the 0.05 level to support the testing firm's claim? Step 1 of 6 : State the null and alternative hypotheses.
Suppose we are contracted by the Justice Department to study the extent of juvenile delinquency. We take a random sample of 100 juveniles, and we find that the mean number of crimes committed is 12 with a standard deviation of 7. Test the null hypothesis that the mean number of crimes committed by the population of juveniles is less than or equal to 11. Use a significance level of .05. (Be sure to show the numeric results that lead to your decision.) Do we reject the null hypothesis here? why or why not.
Consider a dataset containing the heights of 38 females who said they prefer to sit in the front of the classroom yields a sample average of 62 inches and a sample standard deviation of 2.5 inches. Suppose that the average height for the general population of college females is 65 inches. An analyst wants to test the claim that the true average height of females who prefer to sit in the front of the classroom is lower than it is for the general population. In the hypothesis for the above claim (at significance level of 10%), the appropriate test, test statistic (name and value), and pvalue is the approximate Z-test with z-statistic = 62 and pvalue = 0. the approximate Z-test with z-statistic = 7.40 and pvalue not calculable because normality is not given. = 0. the approximate Z-test with z-statistic = -7.40 and pvalue = 0.
A coach believes that her volleyball team is more athletic than the average volleyball team in America. (Think of that as her research hypothesis.) We know that the average volleyball team in America has a score of 100 on the Standard Test for Athleticism (the STA; not to be confused with the SAT). The coach tests her 25 players and gets an average STA score for them of 109, with a standard deviation of 15. The coach sets her alpha level at .05. Given the results of her study, what decision should she make? Reject the null hypothesis, since she knows that her team plays so well. Reject the null hypothesis, since the mean is above 100 Reject the null hypothesis, since the inferential Z-score is greater than the critical value when alpha is at .05 Do not reject the null hypothesis; the results are likely due to chance factors.
A random sample of 43 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.52 with a standard deviation of 0.17. Test the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.51 for the general population. Use a 0.05 significance level. State the null and alternative hypotheses. O B. Ho H= 0.51 O A. H, p= 0.51 H3 p> 0.51 H3 µ#0.51 ОС. Но н0.51 H3 p= 0.51 O D. Ho H=051 H, p<0,51
a. State the Null and Alternative Hypotheses b. Choose the appropriate statistical test c. Determine the Level of Significance and the Critical Value & Solve for the computed value
A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.8 mg and a standard deviation of 3.18 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest, if anything, about the effectiveness of the filters?
An automobile manufacturer has given its van a 36.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 160 vans, they found a mean MPG of 37.0. Assume the population standard deviation is known to be 1.5. Is there sufficient evidence at the 0.0 level to support the testing firm's claim? Step 4 of 6 : Find the P-value of the test statistic. Round your answer to four decimal places.
A lumber company is making boards that are 2900 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 35 boards is taken, and it is found that they have a mean of 2900.3 millimeters. Assume a population standard deviation of 8. Is there evidence at the 0.01 level that the boards are either too long or too short? Step 2 of 3 : Find the P-value for the hypothesis test. Round your answer to four decimal places.
Systolic blood pressure levels above 120 mm Hg are considered to be high. For the 100 systolic blood pressure levels listed in the accompanying data set, the mean is 128.86000 mm Hg and the standard deviation is 15.28254 mm Hg. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that the sample is from a population with a mean greater than 120 mm Hg.LOADING... Click the icon to view the data set of systolic blood pressure levels. the attachement is listed below. and the systolic blood pressure data is listed below Body and exam measurements are from 100 subjects. SYSTOLIC is systolic blood pressure (mm…

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