State the hypothesis, establish the critical region and compute the t statistic of these two groups.
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- To investigate the effect of price on toaster sales, a chain of department stores decided to raise the price of a certain brand of toaster in 20 randomly selected stores (Sample A) and to lower the price in 10 randomly selected stores (Sample B). Monthly revenue (number sales x sales price) from these toasters was recorded for each of the 30 stores. Results from the two samples are as follows: No. of stores Мean Std. Dev. Sample A Sample B $842 $817 $217 $202 20 10 If you considered these to be independent samples, what would be the pooled estimate of the standard deviation for revenue? Calculate a 95% confidence interval for the difference between (а) (b) the two means.An airline operates a call center to handle customer questions and complaints. The airline monitors a sample of calls to help ensure that the service being provided is of high quality. Ten random samples of 100 calls each were monitored under normal conditions. The center can be thought of as being in control when these 10 samples were taken. The number of calls in each sample of 100 not resulting in a satisfactory resolution for the customer is as follows: Excel File: data 19-09.xls 4 5 3 2 3 3 4 6 4 7 a. What is an estimate of the proportion of calls not resulting in a satisfactory outcome for the customer when the center is in control? Round your answers to three decimal places. 0.041 b. Construct the upper and lower limits for a p chart for the manufacturing process, assuming each sample has 100 calls. Round your answers to four decimal places. If answer of LCL is negative then enter "0". UCL 0.1005 LCL = c. With the results of part (b), what conclusion should be made if a sample…Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05. 20) r = 0.221, n = 90 A) Critical values: r = ±0.207, no significant linear correlation B) Critical values: r = 0.217, significant linear correlation C) Critical values: r = ±0.217, no significant linear correlation D) Critical values: r = ±0.207, significant linear correlation 20)
- A random sample of 160 car accidents are selected and categorized by the age of the driver determined to be at fault. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65. Find the rejection region used to test the claim that all ages have crash rates proportional to their number of drivers.Find Variance within the groups, and variance between the groups, and the critical valueAn experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 Suppose it makes sense to conduct a post-hoc analysis. We will use Tukey's test to make pairwise comparisons between means. The decision rule for Tukey's test would be as follows: "Reject H0 if |qc|>q0.10,K,L=M . Otherwise, fail to reject H0." 1. What is the value for the number of…
- Random samples of resting heart rates are taken from two groups. Population 1 exercises regularly, and Population 2 does not. The data from these two samples is given below: Population 1: 66, 71, 66, 64, 63, 69, 70 Population 2: 77, 74, 69, 73, 74, 78, 68, 68 Is there evidence, at an a = 0.065 level of significance, to conclude that there those who exercise regularly have lower resting heart rates? Carry out an appropriate hypothesis test, filling in the information requested. A. The value of the standardized test statistic: -4.87322 B. The p-value is .00001 C. Your decision for the hypothesis test: A. Do Not Reject H₁. B. Do Not Reject Ho. C. Reject H₁. OD. Reject Ho.The news release referenced in the previous exercise also included data fromindependent samples of teenage drivers and parents of teenage drivers. In response to aquestion asking if they approved of laws banning the use of cell phones and texting whiledriving, 74% of the teens surveyed and 95% of the parents surveyed said they approved.The sample sizes were not given in the news release, but suppose that 600 teens and 400 parents of teens were surveyed and that these samples are representative of the twopopulations. Do the data provide convincing evidence that the proportion of teens whoapprove of banning cell phone and texting while driving is less than the proportion ofparents of teens who approve?According to the manufacturer of M&Ms, 13% of the plain M&Ms in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of plain M&Ms. He counted the number of M&Ms of each color and obtained the results shown in the table. Test whether plain M&Ms follow the distribution stated by the manufacturer at the a = 0.05 level of significance. E Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H: The distribution of colors is the same as stated by the manufacturer. O B. Hn: The distribution of colors is at most as uniform as stated by the manufacturer. H1: The distribution of colors is more uniform than stated by the manufacturer. O C. Hp: The distribution of colors is at least as uniform as stated by the manufacturer. H,: The distribution of colors is less uniform than stated by the…
- A sale manager of Febreze, air freshener product would like to compare whether the sale distribution reflects the population in four different locations. According to Australian Bureau of Statistics, 35% of the population lives in Melbourne, 21% in Sydney, 24% in the Canberra, and 20% in Adelaide. Table below presents a breakdown of a sample of 400 orders randomly selected from those shipped last month. What is the critical value at the .01 level of risk?Random samples of resting heart rates are taken from two groups. Population 1 exercises regularly, and Population 2 does not. The data from these two samples is given below: Population 1: 64, 73, 70, 66, 65, 71, 66 Population 2: 76, 78, 73, 74, 69, 68, 73, 73 Is there evidence, at an a = 0.08 level of significance, to conclude that there those who exercise regularly have lower resting heart rates? (Assume that the population variances are equal.) Carry out an appropriate hypothesis test, filling in the information requested. A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-0, a) is expressed (-infty, a), an answer of the form (b, o0) is expressed (b, infty), and an answer of the form (-00, a) U (b, o0) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic: C. The p-value is D. Your decision for the hypothesis test: O A. Do Not Reject H1. OB. Do Not…