Reaction Distance Data on the disk and website show reaction distances in centimeters for the dominant hand for a random sample of 40 independently chosen college students. Smaller distances indicate quicker reactions. a. Make a graph of the distribution of the sample, and describe its shape. b. Find, report, and interpret a 95 % confidence interval for the population mean . c. Suppose a professor said that the population mean should be 10 centimeters. Test the hypothesis that the population mean is not 10 centimeters, using the four-step procedure, with a significance level of 0.05 .
Reaction Distance Data on the disk and website show reaction distances in centimeters for the dominant hand for a random sample of 40 independently chosen college students. Smaller distances indicate quicker reactions. a. Make a graph of the distribution of the sample, and describe its shape. b. Find, report, and interpret a 95 % confidence interval for the population mean . c. Suppose a professor said that the population mean should be 10 centimeters. Test the hypothesis that the population mean is not 10 centimeters, using the four-step procedure, with a significance level of 0.05 .
Solution Summary: The author explains how to obtain the histogram using Minitab. The distribution is bi-modal and roughly symmetric.
Reaction Distance Data on the disk and website show reaction distances in centimeters for the dominant hand for a random sample of 40 independently chosen college students. Smaller distances indicate quicker reactions.
a. Make a graph of the distribution of the sample, and describe its shape.
b. Find, report, and interpret a
95
%
confidence interval for the population mean.
c. Suppose a professor said that the population mean should be 10 centimeters. Test the hypothesis that the population mean is not 10 centimeters, using the four-step procedure, with a significance level of
0.05
.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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