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# WEB CALCULATOR EXERCISE 2

Question # 00001022
Subject: Statistics
Due on: 09/14/2013
Posted On: 09/12/2013 08:21 PM

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Web Calculator Exercise 2

Z test & One sample t-test

1. 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 (?= 200).

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

b. What are H0 and Ha for this study?

c. Compute Z obt

d. What is the Z critical value (Z cv ) using a 0.05 alpha level?

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

f. Determine the 95 % confidence interval for the population mean, based on the sample mean.

2. A researcher hypothesized that the pulse rates of long-distance athletes differ from those of other athletes. He believed that the runnersâ€™ 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 H0and Ha for this study?

d. Find tcv from appendix A in Jacksonâ€™s text.

e. Compute t obt

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

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

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

c. What are H0and Ha for this study?

d. Compute t obt

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

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#### WEB CALCULATOR EXERCISE 2

Tutorial # 00000885
Posted On: 09/12/2013 08:22 PM
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Web_Calculator_Exercise_2-20130225-222025.doc (76 KB)
Preview: (988 xxx 1071 xxx A researcher xxxxxxxxxxxx that the xxxxx rates xx xxxxxxxxxxxxx athletes xxxxxx from those xx other athletes xx believed xxxx xxx runners xxxxxx would be xxxxxx He obtained x random xxxxxx xx 10 xxxxxxxxxxxxx runners He xxxxxxxx their resting xxxxxx Their xxxxxx xxxx 45, xxx 64, 50, xxx 49, 47, xxx 50, xx xxxxx per xxxxxx The average xxxxxxx pulse of xxxxxxxx in xxx xxxxxxx population xx normally distributed xxxx a pulse xxxx of xx xxxxx per xxxxxx What statistical xxxx should be xxxx to xxxxxxx xxx data xx.....
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