A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850 , with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 706.1 . A credit analyst wondered whether high-income individuals (incomes in excess of \( \$ 100,000 \) per year) had higher credit scores. He obtained a random sample of 45 high-income individuals and found the sample mean credit score to be 719.6 with a standard deviation of 84.2 . Conduct the appropriate test to determine if high-income individuals have higher credit scores at the \( \alpha=0.05 \) level of significance. \( = \) Click the icon to view the table of critical t-values. State the null and alternative hypotheses. Fill in the correct answers below. \( \mathrm{H}_{0}: \mu \cdot \mu \) (Type integers or decimals. Do not round.)

The grades on the second statistics test for Ms. Rose's class are in the following list. Find the frequency distribution for the grades. \[ \text { F, D, F, B, F, A, C, F, C, F, D, B, B, B, C, C, F, C, F, D, A } \]

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.52 and a standard deviation of 0.41 . Using the empirical rule, what percentage of the students have grade point averages that are greater than 3.34 ? Please do not round your answer. Answer How to enter your answer (opens in new window)

Supstion 5 of 19, Step 1 of 1 percentage of American women have shoe sizes that are greater than 9.58 ? Please do not round your answer. Answer How to enter your answer (opens in new window)

Find the range of the following data set. Assume the data set is a sample. \[ 43 \quad \begin{array}{lllllllll}54 & 51 & 86 & 39 & 51 & 52 & 45 & 81 & 46\end{array} 46 \]

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.06 and a standard deviation of 1.52 . Using the empirical rule, what percentage of American women have shoe sizes that are greater than 9.58 ? Please do not round your answer.