Statistics and Probability Answers

A teacher wants to investigate whether there is a difference between male and female students in the amount of time they spend studying for statistics. The table below shows the amount of time students spend studying statistics each week. The amounts of time spent studying are normally distributed.

Male Female

27 25

25 29

19 18

10 23

16 20

17 15

15 19

a. What statistical test should be used to analyze the data?

& An LU professor is interested in whether there is a difference between undergraduate students and graduate students in the amount of time spent praying each day. The professor gathers information from random samples of undergraduate and graduate students on the LU campus. The amount of time praying is normally distributed and is measured on an interval/ratio scale.

Graduate Undergraduate

15& & & & & & & & & & & 9

17& & & & & & & & & & & 11

10& & & & & & & & & & & 9

13& & & & & & & & & & & 6

11& & & & & & & & & & & 5

17& & & & & & & & & & & 6



d. Conduct the appropriate analysis. Should H0 be rejected?

& A researcher hypothesized that the pulse rates of long-distance athletes differ from those of other athletes. He believed that the runners’ pulses would be slower. He obtained a random sample of 10 long-distance runners. He measured their resting pulses. Their pulses were 45, 45, 64, 50, 58, 49, 47, 55, 50, 52 beats per minute. The average resting pulse of athletes in the general population is normally distributed with a pulse rate of 60 beats per minute.
a. What statistical test should be used to analyze the data?

b. Is this a one- or two- tailed test?

c. What are H0 and Ha for this study?

d. Find tcv from appendix A in Jackson’s text.

e. Compute t obt

f. Should H0 be rejected? What should the researcher conclude?

& A researcher hypothesizes that people who listen to music via headphones have greater hearing loss and will thus score lower on a hearing test than those in the general population. On a standard hearing test, the overall mean for the general population is 22.5. The researcher gives this same test to a random sample of 12 individuals who regularly use headphones. Their scores on the test are 15, 14, 20, 20, 25, 22, 21, 19, 16, 17, 21, 22.

& A researcher hypothesized that the pulse rates of long-distance athletes differ from those of other athletes. He believed that the runners’ pulses would be slower. He obtained a random sample of 10 long-distance runners. He measured their resting pulses. Their pulses were 45, 45, 64, 50, 58, 49, 47, 55, 50, 52 beats per minute. The average resting pulse of athletes in the general population is normally distributed with a pulse rate of 60 beats per minute.

& A researcher is interested in whether students who attend private high schools have higher average SAT Scores than students in the general population. A random sample of 90 students at a private high school is tested and and a mean SAT score of 1030 is obtained. The average score for public high school student is 1000 (σ= 200).

A circular dashboard of radius 2 m is at a distance of 20 m from you. you throw a dart at it and it hits the dart at some point Q in the circle . what is the probability that Q is closer to the centerof the circle than the periphery

A researcher is interested in whether students who attend private high schools have higher average SAT Scores than students in the general population. A random sample of 90 students at a private high school is tested and and a mean SAT score of 1030 is obtained. The average score for public high school student is 1000 (σ= 200). 1. Compute Z obt 2. What is the Z critical value (Z cv ) using a 0.05 alpha level? 3. Should H0 be rejected? What should the researcher conclude? 4. Determine the 95 % con

Briefly describe the following concepts of validity in research methods: measurement validity, causal validity, and generalizability. Explain how you plan to address these concepts of validity in your project (3 points). Briefly define the following levels of measurement: nominal, ordinal, interval, and ratio. List and define the independent and dependent variables you will employ in your project and label them accordingly (4 points). Describe and compare/contrast the following measures of central tendenc

397C3=10,349,790 How to you get this answer