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5. + -/16.66 points ASWSBE13 12E025 My Notes Ask Your Teacher You may need to use the appropriate technology to answer this question. use α 0.01 and conduct a goodness of fit test using 5 classes to see whether the following sample appears to have been selected from a normal probability distribution. (Note: x 71.4 and s 17.) 55 86 94 58 5595 55 52 69 95 90 65 8750 56 55 5798 58 7992 62 5988 75 State the null and alternative hypotheses. OHo: The population has a normal probability distribution. O Ho : The population has a normal probability distribution. O Ho: The population does not have a normal probability distribution. Ha: The population has a sampling mean distribution Ha: The population has a x2 distribution. Ha: The population has a normal probability disibion HO: The population has a normal probability distribution. Ha The population does not have a normal probability distribution. Find the value of the test statistic. Find the pvalue. (Round your answer to four decimal places) p-value State your conclusion O Reject Ho, we conclude that the population does not have a normal probability distribution. O Reject Ho. We conclude that the population has a normal probability distribution. O Do not reject Ho. We conclude that the population does not have a normal probability distribution O Do not reject Ho. We conclude that the population has a normal probability distribution.

Construct a histogram of the data 15 15 10 0 40 60 80 100 80 100 20 20 40 60 Percentage of Data Percentage of Data 15 15 10 0 20 40 60 80 100 20 40 60 80 100 Percentage of Data Percentage of Data Does the histogram representation support the conclusion reached with the goodness of fit test? O Yes, the histogram representation supports the conclusion reached with the goodness of fit test. No, the histogram representation does not support the conclusion reached with the goodness of fit test

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