average score that can be obtained on a standardized test at your school is 114with a standard deviation of 16. You are a reporter for the school newspaper you want to know if thetypical deviation, o,Student athletes are different. To find out, he surveys a random sample of 18student athletes and determines for the sample, the mean score is 112 with a standard deviation of 12.If we assume that the scores that the student athletes obtained follow an roximately normal distribution, is there enough evidence to conclude, at the level of significance of0.05, which standard deviation is higher among student etes? orm a two-tailed test. Then complete the following. y intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas.) (to) Formulate the null hypothesish and the alternative hypothesish. (b) Determine which type of test statistic to use. (Choose an option) Find the value of the test statistic. (Round to three or more decimal places.) (c) 0 (d) Find the p-value. (Round to three or more decimal places.) 3 1x a 4 2 ロロ S X ロ=ロ OSO 020 0<0 Р 0

It seems these days that college graduates who are employed full-time work more than 40-hour weeks. Data are available that can help us decide if this is true. A survey was recently sent to a group of adults selected at random. There were 15 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 15 respondents was 43 hours, with a standard deviation of 8 hours. Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with mean μ. Can we conclude that μ is greater than 40 hours? Use the 0.05 level of significance. State the null hypothesis  H0  and the alternative hypothesis  H1 Find the t-test df & Solve the t-test value  Find the critical value Can we conclude, at the 0.05 level of significance, that the mean number of hours worked per week by college graduates is greater than 40 hours? Yes or No?

What percent of the students received a score below 64, if the mean grade on a test was 70 and the standard deviation was 6. For the same test results as prob 1), what percent of studen ts scored between 64 and 80 .

The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30. Find the score that is 2 1/2 standard deviations above the mean.