\( 1 \leftarrow \begin{array}{l}\text { A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. } \\ \text { Values range from } 300 \text { to } 850 \text {, with a credit score over } 700 \text { considered to be a quality credit risk. According to a survey, the mean credit } \\ \text { score is } 710.1 \text {. A credit analyst wondered whether high-income individuals (incomes in excess of } \$ 100,000 \text { per year) had higher credit } \\ \text { scores. He obtained a random sample of } 48 \text { high-income individuals and found the sample mean credit score to be } 722.8 \text { with a } \\ \text { standard deviation of } 83.8 \text {. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the } \\ \alpha=0.05 \text { level of significance. } \\ \text { E Click the icon to view the table of critical } t-v a l u e s . \\ \text { Identity the t-statistic. } \\ \text { Approximate the P-value. } \\ \text { The P-value is in the range }\end{array} \) (Round to two decimal places as needed.)

Question 12 Assume that \( z \)-scores are normally distributed with a mean of 0 and a standard deviation of 1. \( b=\square<b<b)=0.747 \), find \( b \). Submit Question

\( n-1=35-1=34 \) \( p \)-value \( <0.01 \) - Step 6: Make a decision to reject or not reject the null hypothesis. Write in non-techni terms a final conclusion about the claim. 'd reject the nurl nypo thesis

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300 . An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the \( 96 \% \) confidence interval to 25 points, how many students should the administrator sample? Make sure to give a whole number answer.

Score on last try: 0 of 1 pts. See Details for more. \( > \) Next question Assume that \( z \)-scores are normally distributed with a mean of 0 and a standard deviation of 1 . If \( P(-b<z<b)=0.6956 \), find \( b \). Submit Question

pose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.6 and a standard deviation of 0.42 cribe where approximately \( 95 \% \) of grade point averages lie. swer \[ \text { below } 1.76 \text { and above } 3.44 \] between 1.76 and 3.18 and above 3.02