The effectiveness of a new bug repellent is tested on 25 subjects for a 10 hour period. (Assume
?⎯⎯⎯=93, ?=12
The new repellent is considered effective if it provides a percent repellency of at least 91. Using ?=0.05, construct a hypothesis test with null hypothesis ?=91 and alternate hypothesis ?>91 to determine whether the mean repellency of the new bug repellent is greater than 91 by computing the following:
(a) the degrees of freedom
(b) the test statistic
The final conclusion is
A. We can reject the null hypothesis that ?=91. Our results indicate that the new bug repellent is effective.
B. There is not sufficient evidence to reject the null hypothesis that ?=9. Our results do not provide enough evidence that the new bug repellent is effective.
Trending nowThis is a popular solution!
Step by stepSolved in 4 steps with 6 images
- What is the formula needed for part a? I would also like help on how to do parts c and e.arrow_forwardUse the results from a survey of a simple random sample of 1045 adults. Among the 1045 respondents, 92% rated themselves as above average drivers. We want to test the claim that 4/5 of adults rate themselves as above average drivers. Complete parts (a) through (c). a. Identify the actual number of respondents who rated themselves as above average drivers.arrow_forwardA statistical program is recommended. The authors of an article found that the speed of a prey (twips/s) and the length of a prey (twips ✕ 100) are good predictors of the time (seconds) required to catch the prey. (A twip is a measure of distance used by programmers.) Data were collected in an experiment in which subjects were asked to "catch" an animal of prey moving across his or her computer screen by clicking on it with the mouse. The investigators varied the length of the prey and the speed with which the prey moved across the screen. The following data are consistent with summary values and a graph given in the article. Each value represents the average catch time over all subjects. The order of the various speed-length combinations was randomized for each subject. Prey Length Prey Speed Catch Time 7 20 1.10 6 20 1.20 5 20 1.22 4 20 1.41 3 20 1.51 3 40 1.40 4 40 1.36 6 40 1.30 7 40 1.28 7 80 1.40 6 60 1.37 5 80 1.41 7 100 1.44 6 100 1.43 7 120…arrow_forward
- A researcher is interested in determining if sleeping more hours the night before an exam will improve student math practice test scores. She randomly divides the class into two groups. One group is instructed to sleep 9 hours. The other group is instructed to sleep 6 hours. Students were asked to complete a practice math test the following day. The researcher then compares the average test score of each group. What is the DV? O the class O the researcher average test score O sleep (9 hours vs 7 hours)arrow_forwardFor a population with m = 62 and s = 12, find the X value that corresponds to each of the following z-scores: -0.25, -1.50, 0.50, 2.00arrow_forwardIn a survey, the sample consisted of 1087 adults who were parents of school-aged children. The sample was selected in a way that makes it reasonable to regard it as representative of the population of parents of school-aged children. One question on the survey asked respondents how much time (in hours) per month they spent volunteering at their children's school during the previous school year. The following summary statistics for time volunteered per month are given below. n = 1087 x = 5.5 median = 1arrow_forward
- Given SST = 2415, SSE = 1725, n = 7, and k = 2, calculate the value of the overall F test statistic. O Feal = 3.50 O Fcal = 1.25 O Fcal = 0.40 O Fcal = 0.80arrow_forwardScientists have discovered a new bird species; however, they only found 15 birds of such species. They measured the height (in cm) of these 10 birds:12.94, 5.80, 15.47, 14.14, 7.48, 9.21, 9.79, 8.86, 17.75, 10.39. I entered the data into R as shown below: bird <- c(12.94, 5.80, 15.47, 14.14, 7.48, 9.21, 9.79, 8.86, 17.75, 10.39) Treat this data as population data. Which of the following R code computes the variance of the height of the birds? A. var(bird) B. sum((bird - mean(bird))^2)/length(bird) C. mean((bird - mean(bird))^2) D. sum((bird - mean(bird))^2)/9 E. B and C F. A and D G. B and D H. A and Carrow_forwardPlease solve for G, H, and Iarrow_forward
- he level of cretaine phosphokinase (CPK) in blood samples measures the amount of muscle damage for athletes. At Jock State University, the level of CPK was determined for each of 25 football players and 15 soccer players before and after practice. The two groups of athletes are trained independently. The data summary is as follows : For football players: Data for Football players n=25 Before Practice After Practice Difference (Before-After) Mean 254.73 225.6 29.13 Standard deviation 115.5 132.6 21.00 For soccer players: Data for Soccer players n=15 Before Practice After Practice Difference (Before-After) Mean 177.1 173.8 3.3 Standard deviation 60.7 64.4 6.88 Assume that all the data above are normal Test the claim that the mean CPK level has DECREASED for soccer players AFTER exercise (compared to the mean BEFORE exercise), using α=0.10. AFTER practice, do football players have a DIFFERENT mean CPK values compared to soccer players? Test this claim by…arrow_forwardHealth care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Each in a sample of 44 hospital employees who were diagnosed with a latex allergy based on a skin-prick test reported on their exposure to latex gloves. Summary statistics for the number of latex gloves used per week are x= 19.4 and s = 11.7. Complete parts (a) - (d). a. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy. b. Form a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy. (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) c. Give a practical interpretation of the interval, part (b). O A. One can be 95% confident that latex gloves cause allergies for all who use a number of gloves contained in the interval. O B. One can be 95% confident that the…arrow_forwardIn a survey, the sample consisted of 1087 adults who were parents of school-aged children. The sample was selected in a way that makes it reasonable to regard it as representative of the population of parents of school-aged children. One question on the survey asked respondents how much time (in hours) per month they spent volunteering at their children's school during the previous school year. The following summary statistics for time volunteered per month are given below. n = 1087 x = 5.5 median = 1 In USE SALT (a) What does the fact that the mean is so much larger than the median tell you about the distribution of time spent volunteering per month? The fact that the mean is much greater than the median suggests that the distribution of times spent volunteering in the sample was negatively skewed. The fact that the mean is much less than the median suggests that the distribution of times spent volunteering in the sample was positively skewed. The fact that the mean is much greater…arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman