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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A statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years. The mean score over all those students on the first midterm was u = 88 with standard deviation o = 10. One year, the teacher taught a %3D much smaller class of only 25 students. The teacher wanted to know if teaching a smaller class was more effective and students performed better. We can consider the small class as an SRS of the students who took the large class over the years. The average midterm score was = 78. The hypothesis should be: a. Ho: H = 78 vs. Ha: H = 88. %3D O b. Ho: µ = 88 vs. Ha: µ 78 %3D Ο d. Ho: μ-88 νs. Ha: μ >88. %3D
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It seems these days that college graduates who are employed full time work more than 40 hour weeks. Data are available that can help us decide if this is true. A survey was recently sent to a group of adults selected at random. There were 22 respondents who were college graduates employed full time. The mean number of hours worked per week by these 22 respondents was 43 hours, with a standard deviation of 8 hours. Assume that the population of hours worked per week by college graduates employed full time is normally distributed with mean. Can we conclude that mean is greater than 40 hours? Use the 0.1 level of significance. Perform a one tailed test, and complete the parts below.
A local community college reported that the average SAT score of its students is 960 with a standard deviation of 82. If a student scored 975 on the SAT, what is the student's z score? Did the student do better or worse on the SAT compared to the average student in the college?
The honors program at Brad's university only accepts students with an entrance exam score over 400. What percentage of students would be eligible if the students at Brad's school have an average exam score of 250, with a standard deviation of 80?
A psychologist investigated whether there is a difference, on average, in IQ scores for twins. She randomly selected 30 sets of twins from a database and measured their IQs. The mean difference (firstborn – second-born) was 2.1 points with a standard deviation of 7.2 points. Do the data provide a convincing evidence of a difference, on average, in IQ scores for twins? Do Perform the calculations, then complete the conclusion. Conclude Because the P-value, which is , is = 0.05, we H0. We convincing evidence of , on average, in IQ scores for twins.
The mean SAT score in mathematics, u, is 596. The standard deviation of these scores is 47. A special preparation course clalms that its graduates will score higher, on average, than the mean score 596. A random sample of 90 students completed the course, and their mean SAT score in mathematics was 608. At the 0.05 level of significance, can we condude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 47. Perform a one-talled 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. OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal…
A recent study stated that if a person chewed gum, the average number of sticks of gum he or she chewed daily was 8. To test the claim, the researcher selected a random sample of 36 gum chewers and found the mean number of sticks of gum chewed per day was 8. The standard deviation of population is 1. at a = 0. 05, is the number of sticks of gum a person chews per day actually greater than 8. There is not enough evidence to support the claim that average is greater than 8. There is enough evidence to support the claim that average is greater than 8. There is enough evidence to support the claim that average is smaller than 8. There is not enough evidence to support the claim that average is greater than 8.

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