Answered: 7. Suppose a teacher looks at a random…

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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7. Suppose a teacher looks at a random sample of 42 final exam completion times and finds a mean timeof 111 minutes with asamplestandard deviation of 44 minutes. Which equation should they use tocompute the margin of error?A.E=s√nB.E=z√pqnC.E=zs√nD.E=ts√nE.E=t√pqn

8. Suppose a teacher looks at a random sample of 42 final exam completion times and finds a mean timeof 111 minutes with asamplestandard deviation of 44 minutes. Which value best approximates themargin of error for a 95% confidence interval?A.E= 6.8B.E= 33.4C.E= 13.3D.E= 13.7E.E= 34.4

9. A TWISTER spinner has four outcomes; red, blue, yellow, green. Tim believes that the proportion ofred outcomes is not equal to 25%. Which of the following correctly depicts hisnull hypothesis,H0?A.H0:μ >25B.H0:μ= 25C.H0:μ <25D.H0:μ6= 25E.H0:p=.25F.H0:p > .25G.H0:p < .25H.H0:p6=.25Page 2

10. A TWISTER spinner has four outcomes; red, blue, yellow, green. Tonya tests the claim that theproportion of red outcomes is not equal to 25%. Which of the following correctly depicts hertail type?A. right-tailed testB. left-tailed testC. two-tailed testD. nine-tailed test

11. A TWISTER spinner has four outcomes; red, blue, yellow, green. Ryo is testing if the proportion of redoutcomes is greater than 25%. After completing the test, Ryo has rejected the null hypothesis. Whichof the following represents the best conclusion?A. The data provides sufficient evidence that the proportion of red outcomes is greater than 25%B. The data does not provide sufficient evidence that the proportion of red outcomes is greaterthan 25%

12. A TWISTER spinner has four outcomes; red, blue, yellow, green. Rosa is testing if the proportion ofgreen outcomes is less than 25%. After completing the test, Rosa has failed to reject the null hypothesis.Which of the following represents the best conclusion?A. The data provides sufficient evidence that the proportion of green outcomes is less than 25%B. The data does not provide sufficient evidence that the proportion of green outcomes is lessthan 25%

13. A TWISTER spinner has four outcomes; red, blue, yellow, green. Ryo is testing if the proportion ofyellow outcomes is greater than 25%. The test is done at the 5% significance level. If the resultingp-value is 0.0375, what decision can Ryo make about the null hypothesis?A. Reject the null hypothesisB. Fail to reject the null hypothesisC. Not enough information

14. Use the table of sample data to answer each part below.x-value1721242829343539425160y-value3.73.32.24.33.15.06.55.46.24.96.5(a) Are thexandyvariables correlated?A. Yes, the data is positively correlatedB. Yes, the data is negatively correlatedC. No, he data is not correlated(b) What is the mean of thexvariable?A. 1.46B. 12.9C. 34.5D. 4.65E. 4.9F. 34.(c) What is the median of thexvariable?A. 1.46B. 12.9C. 34.5D. 4.65E. 4.9F. 34.0(d) What is the standard deviation of thexvariable?A. 1.46B. 12.9C. 34.5D. 4.65E. 4.9F. 34.0

15. A random sample of 37 students is used to test the correlation between the number of classes missedand the grade in that class. This results in an r-value ofr=−0.578. Use this information to determinewhether or not the data is correlated.A. The data is positively correlatedB. The data is negatively correlatedC. The data is not correlated

16. For each question below, use the following regression formula representing the number of classes missed(x) and the grade in that class (y).ˆy=−3.7x+ 92.2(a) What does the slope represent?A. For every class missed, your grade goes up 3.7 pointsB. For every class missed, your grade goes down 3.7 pointsC. For every 3.7 classes missed, your grade goes down one pointD. If you miss every class, you are predicted to get an 92.2E. If you miss no classes, you are predicted to get an 92.2(b) What does the y-intercept represent?A. For every class missed, your grade goes up 3.7 pointsB. For every class missed, your grade goes down 3.7 pointsC. For every 3.7 classes missed, your grade goes down one pointD. If you miss every class, you are predicted to get an 92.2E. If you miss no classes, you are predicted to get an 92.2

17. In a survey of 200 randomly selected Burlington residents, only 8% of them used public transportation.Which of the following describes thesamplefor this survey?A. The 200 Burlington residents selected for the surveyB. All Burlington residentsC. All Burlington residents who use public transportationD. All Burlington residents who do not use public transportationE. The 8% of the Burlington residents who use public transportationPage 4

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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