a. Find a 95% confidence interval on σ2. b. Find a 95% confidence interval on σ.
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When programming from a terminal, one random variable of concern is the response time in seconds. These data are obtained for one particular installation:
1.481.261.521.561.481.461.301.281.431.431.551.571.511.531.681.371.471.611.491.431.641.511.601.651.601.641.511.511.531.74
a. Find a 95% confidence interval on σ2.
b. Find a 95% confidence interval on σ.
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- Exercise on ANOVA 1. A dietition wanted to test three different diets to find out if the mean weight loss for each of these diets is the same. She randomly selected 21 overweight person, randomly divided them into three groups, and put each group on one of the three diets. The following table records the weights (In kg) loss by these persons after being on these diets for two months. Diet 1 Diet 2 Diet 3 15 11 9 8 16 17 17 9 11 7 16 8 26 24 15 12 20 6 8 19 14 a) We are to test if the mean weight lost by all persons on each of the three diets is the same. Write the null and alternative hypotheses. b) Show the rejection and nonrejection regions on the F distribution curve for a=0.025. c) Calculate SSB, SSW, and SST. d) What are the degrees of freedom for the numerator and denominator? e) Calculate the between-samples and within-samples variances. f) What is the critical value of F for α=0.025. g) What is the calculated value of the test statistic F? h) Write the ANOVA table for this…Suppose that a simulation is constructed to estimate the mean response time, in milliseconds, of an interactive computer system. A number of repetitions are performed with the following results (measured in milliseconds): 4.1, 3.6, 3.1, 4.5, 3.8, 2.9, 3.4, 3.3, 2.8, 4.5, 4.9, 5.3, 1.9, 3.7, 3.2, 4.1, 5.1. Calculate the sample mean and variance of these results and hence derive a 95% confidence interval for the mean response timeThe accompanying data are x = advertising share and y = market share for a particular brand of soft drink during 10 randomly selected years. x 0.104 0.072 0.072 0.077 0.086 0.047 0.060 0.050 0.070 0.052 y 0.137 0.127 0.120 0.086 0.079 0.076 0.065 0.059 0.051 0.039 b)Calculate the equation of the estimated regression line. (Round your answers to four decimal places.) d)Calculate a point estimate of ?e. (Round your answer to five decimal places.)
- A well known psychology graduate program claims that their Ph.D graduates get higher paying jobs than the national average. Last year’s figures for salaries paid to all graduates with D in Psychology on their first job showed a mean of P620.00 per hour. A random sample of 10 graduates from last year’s class showed the following hourly salaries for their first job. P540 P630 P720 P680 P640 P570 P580 P660 P670 P690 What can you conclude about the psychology graduate program’s claim? Show your complete computation and then answer the question3. 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…Two microprocessors are compared on a sample of six benchmark codes to determine whether there is a difference in speed. The times (in seconds) used by each processor on each code are given in the following table. Code 4 6 Processor A 27.2 18.1 27.2 19.7 24.5 22.1 Processor B 24.1 19.3 26.8 20.1 27.6 29.8 Can you conclude that the mean speeds of the two processors differ?
- NEED ANSWER ASAPThe National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season (NFL website). Team Yds/Att WinPct 5.7 26 Arizona Cardinals Atlanta Falcons Carolina Panthers 7.6 67 7.3 52 6.9 51 Chicago Bears Dallas Cowboys 5.1 17 8.6 82 New England Patriots Philadelphia Eagles Seattle Seahawks 5.3 21 6.6 41 St. Louis Rams 6.5 41 Tampa Bay Buccaneers. 6.1 38 a. Choose the correct a scatter diagram with the number of passing yards per attempt on the horizontal axis and the percentage of games won on the vertical axis. B. A. WinPct WinPct 80 DD J F1 70- 60- 50+ -40- 30 20- F2 80 F3 000 000 F4 F5 80- -70 60- 50- 40- 30- 20- S F6 ● - F7 DII F8 F9 F10 () F11 <))) F12 ADo larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.x 12.3 28.6 24.5 14.3 7.5 27.7 16.2 20.1y 23 72 39 23 15 30 15 25 a) Compute r. (Round your answer to four decimal places.)
