Good day, I hope you are well :) I am currently studying for statistics but I am struggling with the following questions. It would be greatly appreciated if you could assist me by providing explanations to the answers of these questions. Please note that I would like the explanations about these specific questions. Thank you for your assistance :) Kind regards

Question 31 1 points Save Answer A client used two courier services on a random daily basis over a period of 3 months for similar destinations, Delivery times where noted by a clerk. During this time Courier Service A was used 60 times with a sample average delivery time calculated as 42 minutes. During this same time Courier Service B was used 48 times and a sample average delivery time is calculated as 38 minutes. Suppose that the population standard deviation for Courier Service A is 14 minutes and for Courier Service B is 10 minutes. Test the hypothesis that there is no difference between the mean delivery times of the two courier services ( on a 5% significance level.) give the critical value . O 2.33 O +1.96 O +1.645 O -2.33 O 1.7294 Question 32 1 points Save Answer A sample of 49 observations is taken from a normal population with a standard deviation of 10. The sample mean is 55 Determine the 99 percent confidence interval for the population mean. Give the lower limit. O 51.32 O 52.2 57.8 55 O 58.68 O 56.96 Question 33 1 points Save Answer Consider the following partially completed one-way analysis of variance table ANOVA Source of variation Treatments Residuals Total 7140 The missing value indicated by (d) is:_ O 130.8 O 116.64 05 O 8.72 13.3761 Question 34 1 points Save Answer Fifty two of a test panel of 175 consumers say that they would buy cereal A if it is presented on the market and 35 of another test panel of 150 consumers say that they would buy cereal B. Construct a 99% confidence interval for the difference between the two cereals. Give the lower limit. O -0.0620 O 0.0018 O 0.0638 O 0.0957 O - 0.0319 Question 35 1 points Save Answer Fifty two of a test panel of 175 consumers say that they would buy cereal A if it is presented on the market and 35 of another test panel of 150 consumers say that they would buy cereal B. Test the null hypothesis that the cereals on the market would be equally popular. Use a 5% significance level, Give the critical . 1.476 O 233 O + 1.96 O 1.96 O +2.33 Question 36 1 points Save Answer Consider the following partially completed one-way analysis of variance table ANOVA Source of variation SS MS Treatments 583 2 (b) (c) (e Residuals (a) 15 (d) Total 714.0 20 The missing value indicated by (a) is: 130.8 O 116.64 0 5 8.72 Question 37 1 points Save Answer In a preliminary study to determine whether the installation of a camera designed to catch cars that go through an intersection on a red traffic light affects the number of violators, the number of violators that go through an intersection on a red traffic light was recorded for each day of the weak before and the week after the camera was installed. Test at a 1% level of significance whether the installation of a camera resulted in a reduction of the number of violators that go through the intersection on a red traffic light, given the results below. Calculate the test statistic . O 2.4363 O 2.0723 O 1 8850 O 3.143 O 1.8218 Question 38 1 points Save Ansover Sample of 15 test-tubes tested for number of times they cracked gave the sample mean of 1230 with a standard deviation of 270. Construct 99% confidence interval mean time a test tube can be cracked, give the lower limit of the interval, Assume normality. 1437.5377 1080,4641 O 1379.5359 1024.5537 O 1435.4463 1022.4623