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- 15. The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eightfull-time faculty for one week is shown in the table below. At α=0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.1 8.9 12.4 8.1 6.1 10.8 12.9 9.1 Question content area bottom Part 1 (a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? A. H0: μ=11.0 Ha: μ≠11.0 B. H0: μ<11.0 Ha: μ≥11.0 C. H0: μ≠11.0 Ha: μ=11.0 D. H0: μ≥11.0 Ha: μ<11.0 E. H0: μ≤11.0 Ha: μ>11.0 F. H0: μ>11.0 Ha: μ≤A bank has taken a random sample of 4 customers for each set of various criteria to determine their level of customer satisfaction on a scale of 0 to 10. The data appear in the table below. Factor 1: Factor 2: Type of contact Time of day Automated Bank Representative Row means Morning 6, 5, 8, 4 8, 7, 9, 9 Row 1 x= 5.75 x = 8.25 x = 7.00 Afternoon 3, 5, 6, 5 9, 10, 6, 8 Row 2 x= 4.75 x = 8.25 x = 6.50 Evening 5, 5, 7,5 9, 10, 10, 9 Row 3 x= 5.50 x = 9.50 x =7.50 Column means Column 1 x = 5.33 Column 2 x = 8.67 Total x =7.00 For the two measurement problem, use an a = 0.05 level of significance. Conduct appropriate hypothesis tests and conclude whether to reject or not reject the claim that: a. there is no difference in population mean satisfaction depending on time of contact, b. there is no difference in population mean satisfaction depending on type of customer contact and c. there is no interaction between type of contact and time of contact.3
- Find kortosis of sample of 10 data 2,3,4,5,5,6,6,8,9,94.A bank has two different customer lines, A and B. Callers dial a single number with 444. Customer service, callers randomly to one of these two lines It directs. In these lines, there is a difference between the lengths of the customers' conversations after connecting to the operator. It is desired to be determined. Random samples of two lines were selected and the following data were obtained. (?? = the last three digits of your student number. If all the last three digits are zero, choose as a three-digit number) A LİNE B LİNESample Size ?1 = 200 ?2=176Sample Average (seconds) 216 195Sample Standard Deviation 35.10 37.80 a.Using the sample statistics, estimate the difference of the two mainstreams within the 95% confidence interval.b.Hypothesis…True False When you test for differences between the moons of two independent populations, you can only use a two tail test
- 46. For each scenario listed on the left, determine whether the scenario represents an (a)Independent or (b)Dependent Samples situation by placing the appropriate letter in the box provided. Comparing pain levels before and after treatment with magnetic therapy Comparing the number of speeding tickets received by men to the number received by women Comparing pre-test scores before training to post-test scores Comparing pain levels of a group receiving a placebo to a group receiving a medicine Independent Samples Dependent SamplesFor each of these 10 samples, compute Statistics 1, 2, and 3. Enter your answers as 3 numbers separated by commas, such as 1,2,3. 2, 3, 3* 2, 3, 4 2, 3, 4* 2, 3*, 4 2, 3*,4* 2, 4, 4* 3, 3*, 4 3, 3*, 4* 3, 4, 4* 3*, 4, 4* Which statistic would you recommend for estimating u? Average of smallest and largest values in the sample Question HelnAn army that overhauls ground mobile radar systems is interested in improving its processes. One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system. The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component. Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employess. In order to determine if having a standard work procedure in place reduces troubleshooting time, they should use: a test of two proportions a two-tailed test of two independent means. a one-tailed test of two indepedent means. a two-tailed paired t-test. a one-tailed paired t-test
- 2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:1. For each row of the table you are given a p-value and a level of significance (a). Determine which hypothesis is supported, if the data are significant and which type error could be made. If a given p- value is not a valid p-value (because it is greater than 1), put an x in each box in therow. p-value Hypothesis Họ or H1 Significant or Not Significant Error Type I or Type II 0.043 0.05 0.32 0.05 0.043 0.01 0.0035 0.01 0.043 0.10 0.15 0.10 5.6 x 106 0.05 7.3256 0.01 2. For the hypothesis test, write the concluding sentence in the form used by researchers. Context: Support paying off student dept, H1: p 8 ft, p-value-5.6 x 10°, a=0.05, n=56. 4. For the hypothesis test, write the concluding sentence in the form used by researchers. Context: Blood pressure for men and women, H1: Hw # HM ft, p-value3D0.0035, a=0.01, n=2403.5. A landscape specialist studies the relationshipbetween early-stage (x) and late-stage (y) treeheights. Assume the SLR model. For 5 trees, with34 inches as the sample mean early-stage height,we know: sx2 = 11.5 , b0 = 36.2 , b1 = 0.9 , SSR = 40.2,and SSE = 9.8. a) Write the estimated SLR equation.b) The p-value for the SLR model utility test is 0.04.Does the evidence suggest a linear relationshipbetween early-stage and late-stage heights?Explain.c) If appropriate, predict the late-stage heightwhen the early-stage height is 35 inches.d) What percentage of variation in late-stageheight values is accounted for by the assumedrelationship with early-stage heights?
