Consider the following sample data with mean and standard deviation of 18.5 and

Question

Consider the following sample data with mean and standard deviation of 18.5 and 7.1, respectively. Use Table 3.

Using the goodness-of-fit test for normality, specify the competing hypotheses in order to determine whether or not the data are normally distributed.

Calculate the value of the test statistic. (Round the z value to 2 decimal places, all other intermediate values to at least 4 decimal places and final answer to 2 decimal places.)

Consider the following sample data with mean and standard deviation of 18.5 and 7.1, respectively. Use Table 3.

Explanation / Answer

a. Hypothesis are

H0: The data are normally distributed with a mean of 18.5 and a standard deviation of 7.1.

HA: The data are not normally distributed with a mean of 18.5 and a standard deviation of 7.1.

b. Reject X2df

Here dF = 4 -2 -1 = 3 and alpha = 0.10

X2df = 2.7055

Test statistic X2 = 2.913

(d) Here, X2df < X2  so we reject the null hypothesis Reject H0; the data are not normally distributed. Option A is correct.

Class Frequency Z Area Below Expected (O - E)^2/E < 10 26 -1.1972 0.1156 21.27 1.050 10 < x < 20 85 0.2113 0.4680 86.12 0.015 20 < x <30 60 1.6197 0.3637 66.92 0.715 30 > x 13 infinity 0.0526 9.69 1.133 Sum 184 1 184 2.913 Mean 18.5 Std. Dev. 7.1

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