Question: Question (1) The (Male/Female) students' scores in a certain statistics course follow a normal distribution. A random sample of size 10 was chosen from the

Question (1)

The (Male/Female) students' scores in a certain statistics course follow a normal distribution. A random sample of size 10 was chosen from the male students and another random sample of size 8 was chosen from the female students. The sample results were as follows:

Mean Standard Deviation

Males 69.7 15.34

Females 73.5 13.30

Assume that the variances of the grades for males and females in this course are equal, and use a 0.02 significance level to test for the equality of the average grades for males and females

Question (2)

Hyper-one Store chain issues its own credit card. Lisa, the credit manager, wants to find out if the mean monthly unpaid balance is more than $400. The level of significance is set at 0.05. A random check of 172 unpaid balances revealed the sample mean to be $407 and the sample standard deviation to be $38. Should Lisa conclude that the population mean is greater than $400, or is it reasonable to assume that the difference of $7 is due to chance?

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