Question;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 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 H0and 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?;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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