The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At a = 0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.4 7.1 13.2 7.6 5.9 11.9 12.1 8.4 O (a) Write the claim mathematically and identify Ho and H. Which of the following correctly states H, and H? O B. Ho: µs11.0 Ha:µ>11.0 O E. Ho: µ>11.0 Hi us11.0 Ο Α. Ho: μ<11.0 H: με 11.0 Ο c. H : μ= 11.0 Ha: u#11.0 O D. Ho: H#11.0 Haiµ =11.0 O F. Ho: µ211.0 Haiu<11.0 (b) Use technology to find the P-value. P= 0.010 (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject H, because the P-value is less than the significance level. O B. Reject H, because the P-value is less than the significance level. OC. Reject H, because the P-value is greater than the significance level. O D. Fail to reject H, because the P-value is greater than the significance level.

The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). = 0 kg Ho: Ha H₁: Hd > 0 kg (Type integers or decimals. Do not round.) Identify the test statistic. t = 2.82 (Round to two decimal places as needed.) Identify the P-value. a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September…

The mall has a set of data with employee age (X) and the corresponding number of annual on-the-job-accidents(Y). Analysis on the set finds that the regression equation is Y=100-3X. What is the likely number of accidents for someone aged 30?     97     100     10     none of the above

3.  Can SAT scores predict college performance?  Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation.  A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58   The scatter diagram for the SAT score and GPA is given below:   (a)  Find the sample correlation coefficient r.  Truncate to two decimal places.  What does the value tell you about the data? (b)  Find the equation of the least squares line .  Truncate to four decimal places.  What does the slope mean? (c)  Find the value of the coefficient of determination .  Truncate to two decimal places.  What does this number mean? (d)  What is the predicted GPA if a computer science major got a…