For the following observed and expected frequencies: Observed  9   22   53   9    7 Expected  15  20  40  15  10 a. Compute the value x square. b. How many degrees of freedom are there? c. Test the hypothesis that the distribution of the observed frequencies is as given by the expected frequencies. Use the a=0.01 level of significance.

Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.05 to test for a difference between the weights of discarded paper (in pounds) and weights of discarded plastic (in pounds). In this example, Hd 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 weight of discarded paper minus the weight of discarded plastic for a household. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: Hd #0 H₁: Hd>0 O C. Ho: Hd #0 H₁: Hd=0 Identify the test statistic. t= (Round to two decimal places as needed.) B. Ho: Hd=0 H₁: Hd #0 O D. Ho: Hd = 0 H₁: Hd <0 More Info Household Paper 16.39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 POTBRANN~~~~~~~ 7.57 11.42 6.44 20.12 2.41 6.05 2.80 13.61 13.05 17.65 8.72 6.16 7.72 7.98 6.38 6.67 6.98 29 11.08 5.86…

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…

The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately​ bell-shaped. Compare the​ z-scores for the actors in the following situation. Best actor              Best supporting actor u= 41.0                  u=55.0 Q=  7.7                   Q= 12 In a particular​ year, the Best Actor was 44 years old and the best supporting actor was 42 years old. Determine the​ z-scores for each.  best actor z=____________  best supporting actor z=___________ Round to two decimal places as needed.