The heights (in cm) for a random sample of 60 males were measured. The sample mean is 166.55, the standard deviation is 12.57, the sample kurtosis is 0.12, and the sample skewness is −0.23. The following table shows the heights subdivided into non-overlapping intervals. For the goodness-of-fit test for normality, the null and alternative hypothesis are ________. A) H₀: Heights follow a normal distribution with mean 166.55 and standard deviation 12.46, H_A: Heights do not follow a normal distribution with mean 166.55 and standard deviation 12.46 B) H₀: Heights do not follow a normal distribution with mean 166.55 and standard deviation 12.46, H_A: Heights follow a normal distribution with mean 166.55 and standard deviation 12.46 C) H₀: Heights follow a normal distribution with mean 166.55 and standard deviation 12.57, H_A: Heights do not follow a normal distribution with mean 166.55 and standard deviation 12.57 D) H₀: Heights do not follow a normal distribution with mean 166.55 and standard deviation 12.57, H_A: Heights follow a normal distribution with mean 166.55 and standard deviation 12.57

Question

Quizplus · Accepted Answer

For the goodness-of-fit test for normality, the null hypothesis is that the sample comes from a normal distribution with the same mean and standard deviation as the sample. The alternative hypothesis is that the distribution of the sample is not normal.

In this case, the sample mean is 166.55 and the sample standard deviation is 12.57. Therefore, the null hypothesis is that the heights follow a normal distribution with mean 166.55 and standard deviation 12.57. So, the correct option is C.

The Heights (In Cm) for a Random Sample of 60