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Use α = .01 and conduct a goodness of fit test to see whether the following sample appears to have been selected from a normal probability distribution. Use Table 12.4 55 86 94 58 55 95 55 52 69 95 90 65 87 50 56 55 57 98 58 79 92 62 59 88 65 Compute the value of the test statistic (to 2 decimals). The p value is less than.005 What is your conclusion? The data does not come from a normal distribution

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Answer #1
Class Interval Observed f Expected frequency (as per normal distribution) (Observed - Expected)^2 /Expected
< 50 0 2.709013277 2.709013277
50-60 11 3.760910141 13.93397343
60-70 4 5.443734921 0.382893464
70-80 1 5.629843677 3.807468502
80-90 3 4.160025961 0.323473998
90-98 6 1.893557736 8.905388914
>= 98 0 1.402914287 1.402914287
chi-square value = 31.46512588
Hypotheses:
Ho: The population has a normal distribution
Ha: The population does not have a normal distribution

Test statistic = 31.47

p- value = Less than 0.005

Conclusion: The data does not come from a normal distribution

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