estion 4. SkillAid ñötičéd thà employees are spending lal media. They launched a counselling service to restrain employees to spend long time on social nedia. The office recorded the number of employees who used social media sites 6 days before and after the counselling service. Before 22 72 95 39 45 55 After 37 55 97 27 63 57 Assume that the population of paired difference is approximately normally distributed. At 1% evel of significance, use the rejection region and test the hypothesis that the counselling Hoes not bave any effect on emplovees to use social media sites in the office
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- Imagine you are a statistical consultant and your client, a weightlifting supplement company, is looking to see if their product is effective in increasing muscle mass gained over a training cycle. You randomly sampled 20 female weightlifters and assigned them to take the supplement and 20 to take a placebo. You have both groups run the same controlled training program over 12 weeks and calculated their whole body lean mass difference in pounds from the beginning to the end of the program. Can you infer that the supplement group gained more muscle mass on average than the placebo group? Use a = 0.05 for any hypothesis test. પ્રમ 1) State the research question in one sentence and use the question to determine the parameter we are using to conduct statistical inference. Describe this parameter in one sentence using symbols and a description. manu ArenA researcher at a college hears students complain that they don’t have enough time to in their week to study. He believes that the students at the college are spending much more time on Facebook, Twitter, and Instagram than they did three years ago. He knows that three years ago, the mean number of hours per week students spent of social media was 15.1 hours. He takes a sample of 16 students and finds they spend 23.3 hours per week on social media with SS=240.Measure effect size using percentage of varianceThe manufacturer of a new eye cream claims that the cream reduces the appearance of fine lines and wrinkles after just 14 days of application. To test the claim, 10 women are randomly selected to participate in a study. The number of fine lines and wrinkles that are visible around each participant’s eyes is recorded before and after the 14 days of treatment. The following table displays the results. Test the claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let women before the treatment be Population 1 and let women after the treatment be Population 2. Number of Fine Lines and WrinklesBefore 11 14 13 12 15 14 9 11 11 14After 10 14 11 13 13 13 8 12 10 15 Step 1 of 3 : State the n ull and alternative hypotheses for the test. Fill in the blank below. H0Ha: μd=0: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0 3) draw a conclusion and form a decision (word it like "we…
- Reports show that 92% of online searches in March 2021 use Google as the search engine. A network administrator wants to determine whether the percentage of searches that use Google is different in their company. They sample 800 searches and find that 758 of them use Google. Can they conclude that the percentage of searches that use Google in this company differs from 92%? Use the a = 0.05 level of significance.Twelve cars were equipped with radial tires and driven over a test course. Then the same 12 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars' gas economy (in kilometer/liter) was measured. Data are shown below. Assume gas economy for both types of tires are normally distributed. Do the data provide enough evidence to show that radical tires produce higher gas economy? What's the difference between population means for gas economy? Gas eco (radial) 4.2 4.7 6.6 7.0 6.7 4.5 5.7 6.0 7.4 4.9 6.1 5.2 Gas eco (belted) 4.1 4.9 6.2 6.9 6.8 4.4 5.7 5.8 6.9 4.7 6.0 4.9 What is the 90% confidence interval? Round to 4 decimal places if necessary.A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the same. The earnings (in millions of dollars) for several randomly selected people from each category are shown in the table below. It has been confirmed that the population variance for each group is equal and that earnings follow a normal distribution for top-pain actors, athletes and musicians. Use a 5% significance to test the claim. Job Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Earnings 31 34 33 26 21 33 30 36 27 27 34 37 36 23 30 39 46 41 36 50 30 44 43 44 46 54 65 30 39 52 37 41 45 60 60 31 49 45 45 What is the factor variable? Top-Paid Job Type What is the response variable? Earnings Test Statistic: 15.2043 X P-Value: 0.0000✓ O…
- The leader of two postpartum women’s support groups is interested in the depression levels of the women in her groups. She administers the Center for Epidemiologic Studies Depression Scale (CES-D) screening test to the members of her groups. The CES-D is a 20-question self-test that measures depressive feelings and behaviors during the previous week. The mean depression level from the screening test for the 10 women in the first group is μ₁ = 16; the mean depression level for the 14 women in the second group is μ₂ = 10. Without calculating the weighted mean for the combined group, you know that the weighted mean is:Your supervisor really appreciates you and, based on your hard work, is often doing her best to get you promoted, get raises, and so forth. You have some colleagues who are under-appreciated by their supervisors and have not received a raise or promotion in years. You believe that there is some relationship between how much a supervisor appears to be appreciative and the amount of money his/her subordinates make. To test this, you distributed a survey to all of the people in your organization who are in supervisory positions. You measure their appreciation for each individual works for them on a Likert-type scale of 1-5. You also have corresponding data for supervisors' employees' salaries. What test would you use to discover if there is something to the notion that you have? a. Regression b. Matched pairs t-test C. None of these Inependent samples t-test e. Correlation O f. Chi-square g. ANOVAA research assigns 21 adolescents to rate the likability of a person described in a vignette in hqvinf one of three personality traits. An equal number of participents are assigned to each group. If Fobt = 4.08 for this study, then what was the decision at a .05 level of significance for a one-way between subjects ANOVA? df bg= df E= F crit=
- Captopril is a drug designed to lower systolic blood pressure. In a trial, 12 randomly selected subjects were treated with the drug and another 12 randomly selected subjects were treated with the placebo. Assume the two populations are normally distributed. The results and some summary statistics are shown in the table. Note that some of the summary statistics may not be useful or relevant! Data Group Placebo 200 174 198 170 179 182 193 209 185 155 169 210 (ž1 = 185.3) (s1 = 17.1) Captopril (I2 = 166.8) (s2 = 14.9) d = I1 – 12 (d = 18.6) (sa = 10.1) %3D %3D 191 170 177 167 159 151 176 183 159 145 146 177 9. 4 21 3 20 31 17 26 26 10 23 33 %3D data %3D Using a 0.01 significance level, is there sufficient evidence to support the claim that the mean systolic blood pressure is lower for those treated with the drug than for those treated with the placebo? Use the p-value method. For full marks, include a diagram of the distribution indicating important components of the question.Anterior cruciate ligament (ACL) injuries occur most frequently in planting and cutting sports such as basketball, soccer, and volleyball. National collegiate athletic association injury data show that female athletes injure the ACL more frequently than their male counterparts do. A sports medicine professor wants to test this claim. He surveyed 5 universities that had both men's and woman's basketball, soccer, and volleyball and asked them how many grade 3 ACL tears they had during the past 5 seasons. Using the following results, are women at greater risk than men for ACL injuries? (use a standard deviation of 0.01, one tail test). Women- 4,3, 5, 2,4 Men- 2, 0, 1 ,2, 1 What is the difference between a repeated measure study and a matched pairs study?Anterior cruciate ligament (ACL) injuries occur most frequently in planting and cutting sports such as basketball, soccer, and volleyball. National collegiate athletic association injury data show that female athletes injure the ACL more frequently than their male counterparts do. A sports medicine professor wants to test this claim. He surveyed 5 universities that had both men's and woman's basketball, soccer, and volleyball and asked them how many grade 3 ACL tears they had during the past 5 seasons. Using the following results, are women at greater risk than men for ACL injuries? (use a standard deviation of 0.01, one tail test). Women- 4,3, 5, 2,4 Men- 2, 0, 1 ,2, 1 Calcualte the sum of squares of injuries for men.