State the statistical hypothesis test and summarize the intended conclusion from

Question

State the statistical hypothesis test and summarize the intended conclusion from the graph Summary for Anderson Darling Anderson-Darling Normalty Test A-Squared P-Value 0.18 0.921 Mean StDev Variance 50.031 4.951 24.511 Skewness -0.061788 Kurtosis0.180064 500 35.727 1st Quartle 46.800 50.006 3rd Quante 53.218 62.823 Minimum Medan Maximum 36 56 95% Confidence Interval for Mean 95% Confidence Interval for Medan 95% Confidence Interval for StDev 49.596 50.466 49.663 50.500 95% Confidence Intervals 4.662 5.278 41.50 49.75 SO.25 SO.SO

Explanation / Answer

Solution:

Given graph or software output shows the results for the Anderson Darling test for normality. The null and alternative hypotheses for this test are given as below:

Null hypothesis: H0: Data follows a normal distribution.

Alternative Hypothesis: Ha: Data do not follow a normal distribution.

The Anderson Darling test statistic is given as below:

A2 = - N – S

From given output, the test statistic value is given as A2 = 0.18.

The P-value for this test is given as 0.921.

Default level of significance or alpha value is given as ? = 0.05.

P-value is greater than level of significance or alpha value.

So, we do not reject the null hypothesis that data follows a normal distribution.

There is sufficient evidence to conclude that data follows a normal distribution.

Also, given output shows the descriptive statistic and five point summary for the given data. Also, 95% confidence intervals for the mean, median, and standard deviation are provided in the given output.

We are 95% confident that the population mean will be lies between two values 49.596 and 50.466.

We are 95% confident that the population median will be lies between two values 49.663 and 50.500.

We are 95% confident that the population standard deviation will be lies between two values 4.662 and 5.278.

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