Problem 1. USA TODAY reported that the overall mean score for the SATtest in the U.S. was 910. Suppose that in a school district, the average SAT score ofa group of 15 students in that year was 930. Can the superintendent of that schooldistrict conclude that the students in his/her school district scored higher than thenational average? Using rejection region method. Assume that the sample standarddeviation of SAT scores of these 15 students was 50. Assume that the test scores arenormally distributed.

Answered: Image /qna-images/answer/2acc0419-6176-4cb2-b7aa-f318b8e3e128.jpg

Answered: Problem 1. USA TODAY reported that the…

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 sample of n = 10 has s = 3. What are the correct values for S.S. and s2? SS=44;sampleS.D.=3 SS = 81; sample variance = 9 SS = 30; sample variance = 4 SS=27;sampleS.D.=2
12. (Two Samples) According to a survey, the mean price of gasoline in the United States was $1.20 per gallon in 1995 and $1.10 per gallon in 1994. (U.S. News & World Report, June 12, 1995). Suppose these means were based on random samples of 100 gasoline stations for 1995 and 120 gasoline stations for 1994. Also, assume that the sample standard deviations were $0.11 for 1995 and $0.10 for 1994. a. Construct a 98% confidence interval for the difference between the mean gasoline prices for 1995 & 1994. b. Test at the 1% significance level if the mean gasoline price was higher in 1995 than in 1994.
. Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, the Creel Survey reported that of a random sample of 49 fish caught, themean length was ?̅= 18.5 inches, with estimated standard deviation ? = 3.2 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05.a. Do we use a Normal or a Student’s t- distribution? Explain. How many degrees of freedom do we use?b. What are the hypotheses?
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The sample mean and sample variance of Fire Jata valves are X = 104 and 5² = 16. If three of the data values are 102, 100, and 105, What are the other two Jaté Values?
Question 3. A researcher wished to gauge public opinion on gun control. He randomly selected 1000 people from the list of registered voters and asked them the following question: Do you believe that gun control laws which restricts the ability of Ghanaians to protect their families should be eliminated? i. Identify the two instances of inappropriate use of statistics in the approach used by the researcher. ii. Suggest a remedy for improving the approach used by the researcher.
A scientist has just been funded by the National Institutes of Health to conduct a very expensive study. As it happens, the budget has been cut. Therefore, the choice of laboratory for analysis of sample data is being re-visited. Suppose the choice is between laboratory “A” and “B”. Laboratory “A” has a standard deviation of one milligram and each sample analysis costs $3. Laboratory “B” has a standard deviation of two milligrams but each sample analysis costs $1. All other things being equal, is the principal investigator better off spending $9 on laboratory “A” or spending $9 on laboratory “B”?
After the measles outbreak, the barangay captain of Big Rock wanted to assess the satisfaction of the residents to his actions during the outbreak. He then obtained a random sample of 5 residents per block (Block 1 to Block 5) and asked them their satisfaction (1 - very dissatisfied, 2 - dissatisfied, 3 - satisfied, 4 - very satisfied). He wanted to know if the satisfaction of his residents differ from across blocks. 1. TRUE OR FALSE: We should test the normality of responses per blocks before we proceed with the test of hypothesis on comparing these responses across blocks. 2. The appropriate alternative hypothesis to compare satisfaction of residents across blocks is ____. ( See image for choices) 3. The appropriate test procedure to test the hypothesis is ___. A. T-test B. Z-test C. F-test using ANOVA D. Kruskal-Wallis Test E. None of the above

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