A random sample of six salespersons that attended a motivational course on sales techniques was monitored three months before and three months after the course, The table shows the values of sales (in thousands of dollars) generated by these six salespersons in the two periods. Salesperson Before the Course After the Course D 213 239 289 197 283 190 346 319 171 200 194 6. 182 Assume that the population distributions are normal. Find a 95% confidence interval for the difference between the two population means. What is the confidence interval estimate of the mean difference (ater "Hbefore)? (Round to two decimal places as needed.)
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Car Brand 1 Brand 2 1 36,925 34,318 2 45,300 42,280 3 36,256 35.548 4 32,100 31,950 5 37,210 38,015 6 48,360 47,800 7 38.200 37,810 8 33,500 33,215 Round your answer to 2 decimal places. Do not use commas.A group of students (large group) took a test in mathematics and the final scores have a mean of 68 and a variance of 100. If the distribution of these scores is approximately normal, then what percent of the students: i. Scored higher than 75? Should pass the test (scores > 65)? Should fail the test (scores < 65)? ii. iii.2. A law school releases admissions data from past years. The median score on the LSAT for accepted students was 167. (Scores on the LSAT range from 120 to 180 points.) The first and third quartiles of LSAT scores for accepted students were 155 and 173 points, respectively. (a) Roughly sketch a histogram for what the LSAT scores for accepted students might look like based on the information given. (b) Suppose you are applying to this law school, and you read about an experiment for a new LSAT test-preparation course. Two hundred students participated. Of these, 100 were randomly chosen to take the course. They got an average score of 166 points, with an SD of 17 points. The other 100 students did not take the course and studied on their own. They got an average score of 165 points, with an SD of 18 points. Calculate the two-sample z test statistic and p-value for the null hypothesis that the course does not affect scores.2. Recovering from surgery: A new postsurgical treatment was compared with a stan- dard treatment. Seven subjects received the new treatment, while seven others (the controls) received the standard treatment. The recovery times, in days, are given below. Can you conclude that the mean recovery time for those receiving the new treatment is less than the mean for those receiving the standard treatment? Use the a = 0.05 level. 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