The registrar of a certain university claimed that the average 1Q of their student is greater than 100, with a standarddeviation of 5. To verify the validity of the statement made by the registrar, a psychology student conducted aninvestigation by taking 25 students as his respondent and found to have an average IQ of 96. Based on this result can we,confirm the registrar's claim at 0.05 level of significance?

Answered: Image /qna-images/answer/70e00f4a-2ee0-42aa-9c02-e966b3ad1da9.jpg

Answered: The registrar of a certain university…

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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It is claimed that the proportion of men who want football matches to be broadcast more frequently on television is higher than the ratio of women. It was stated that 60 out of 120 men randomly selected and 50 out of 150 women favor publication more frequently. According to this; For α = 0.01, test the accuracy of the claim between the proportions of male and female audience by following the test steps.
According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?
A sample of 200 bolts from one machine showed that 15 were defective, while a sample of 100 bolts from another machine showed that 12 were defective. Find the (a) 95%, (b)99.73% confidence limits for the difference in proportions of defective bolts from the two machines. Discuss the results obtained.
A survey by Men’s Health magazine stated that 14% of men said they used exercise to reduce stress. Could this be valid, or is it actually less than what the magazine claims? A random sample of 100 men was selected, and 10 said that they used exercise to relieve stress. If a=0.10, test a hypothesis and state your conclusion in context.
Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. The p-value for the test of whether the proportion of people who trade in their old cars to a car dealer has decreased is 0.0427. If we were to test this hypothesis at the 5% level of signficance, what can you conclude concerning the null hypothesis?
Each day for 200 days, a quality engineer samples 144 fuses rated at 15 A and measures the amperage at which they burn out. He performs a hypothesis test of H0 : μ = 15 versus H1 : μ ≠ 15, where μ is the mean burnout amperage of the fuses manufactured that day. a) On 10 of the 200 days, H0 is rejected at the 5% level. Does this provide conclusive evidence that the mean burnout amperage was different from 15 A on at least one of the 200 days? Explain. b) Would the answer to part (a) be different if H0 had been rejected on 20 of the 200 days? Explain.
A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 268 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 123 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (c) What is the probability of not concluding that more than 20% of the population is obese when the actual percentage of obese individuals is 26%? (Round your answer to four decimal places.)
A newsletter publisher believes that less than 36%36% of their readers own a laptop. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.010.01 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
A hospital reported that the regular death rate for patients with extensive burns has beensignificantly reduced by the use of new fluid plasma compresses. Before the new treatment, themortality rate for extensive burn patients was about 60%. Using the new compresses, the hospitalfound that 40 out of 88 (45.45%) patients with extensive burns died. Use a 1% level of significanceto test the claim that the mortality rate has dropped and clearly state your conclusion.
An experimenter has prepared a drug-dose level that he claims will induce sleep for at least 70% of people suffering from insomnia. After examining the dosage we feel that his claims regarding the effectiveness of his dosage are too high. In an attempt to disprove his claim, we administer his prescribed dosage to 80 insomniacs and observe that 51 of them have had sleep induced by the drug dose. Is there enough evidence to refute his claim at the 5% level of significance? a) state null and alternate hypotheses b) find the test statistic and rejection region c) state your conclusion
A survey of 30 r/s students in a large college indicated that 19 of them held off-campus jobs. Does this survey result provide strong evidence that more than 50% of all studentsin this college hold off-campus jobs? Use an appropriate p-value to draw and explain your conclusion.

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