As part of a staged rollout, a new email client was installed on some of the computers of a major company's customer servicerepresentatives (CSRs). These CSRS have complained to management saying that the new client is much worse than the old one.One of the company's performance analysts has been tasked with determining if on the busiest day of the year the mean time (inminutes) spent working on email for CSRS using the new email client is greater than the mean time (in minutes) spent working onemail for CSRS using the old email client.On the busiest day of the year, the performance analyst studies a random sample of 16 CSRS using the new email client and arandom sample of 18 CSRS using the old email client. (These samples are chosen independently.) Each CSR records the amount oftime (in minutes) they spend working on email. These data are shown in the table.New email clientOld email clientSend data to calculator VTimes working on email (in minutes)195, 184, 153, 183, 191, 176, 186, 156, 174, 182, 178, 183, 189, 199, 148, 19661, 245, 109, 161, 200, 173, 91, 229, 61, 149, 144, 238, 166, 181, 120, 175, 240, 121Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.10level of significance, that the population mean of the times spent working on email that day for CSRS using the new email client isgreater than the population mean of the times spent working on email that day for CSRS using the old email client?Send data to ExcelPerform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)Explanation(a) State the null hypothesis H and the alternate hypothesis H₁.H₂:0CheckμXOSРPEs© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acc the population mean of the times spent working on email that day for CSRS LVPerform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, cons(a) State the null hypothesis Ho and the alternate hypothesis H₁.H₁ : DH₁ :(b) Determine the type of test statistic to use.(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the critical value. (Round to three or more decimal places.)0(e) At the 0.10 level of significance, can the performance analyst conclude thatthe mean time spent working on email that day for CSRS using the new emailclient is greater than the mean time spent working on email that day forCSRS using the old email client?OYes NoExplanationCheckⒸ2022 McGraw Hill LLC. All Rig

Answered: Image /qna-images/answer/1b84a7f1-f861-425e-b58b-a5700e6d4c6e.jpg

Answered: Carry your intermediate computations to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O
The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 Store 1 654 303 989 591 872 934 828 947 Store 2 498 114 674 605 912 1008 686 848 Difference 156 189 315 - 14 - 40 - 74 142 99 (Store 1 - Store 2) Send data to calculator Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding u, (which is u with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of differences…
A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Process 1 is an updated process hoped to bring a decrease in assembly time, while Process 2 is the standard process used for several years. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting 8 workers at random and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below. Worker 2 3 4 71 8. Process 1 71 50 90 86 58 58 35 44 Process 2 101 66 77 105 74 70 49 70 Difference (Process 1 - Process 2) -30 -16 13 -19 -16 -12 -14 -26 Send data to calculator Based on these data, can the company conclude, at the 0.10 level of significance, that the mean assembly time for Process 2 exceeds that of Process 1? Answer this question by…
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A large nationwide poll recently showed an unemployment rate of 9% in the US. The mayor of a local town wonders this national result holds true for her town, so she plans on taking a sample of her residents to see if the unemployment rate is significantly different than 9% in her town. Let T represent the unemployment rate in her town. Here are the hypotheses she'll use: Null Hypothesis: T = 0.09 %3D Alternative Hypothesis: T 0.09 Which type of Error has been committed in the following situation? • She concludes the town's unemployment rate is not significantly different to 9% when it is actually 9%. Type II Error Type I Error No Error
Medical researchers are interested in determining the relative effectiveness of two drug treatments on patients with a chronic mental illness. Treatment 1 has been around for many years, while treatment 2 has recently been developed based on the latest research. The researchers chose two independent test groups. The first group had 10 patients, all of whom received treatment 1 and had a mean time until remission of 188 days, with a standard deviation of 8 days. The second group had 14 patients, all of whom received treatment 2 and had a mean time until remission of 185 days, with a standard deviation of 5 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Can we conclude, at the 0.05 level of significance, that u,, the mean number of days until remission after treatment 1, is greater than u,, the mean number of days until remission after treatment 2? Perform a one-tailed test. Then complete the parts…
Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering dlass must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 10 of this year's entering students and finds that their mean IQ score is 117, with a standard deviation of 12. The college records indicate that the mean IQ score for entering students from previous years is 113. Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, p, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b)…
An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to test whether there is any difference between the two additives in the mean yield of tomato plants grown using these additives. The engineer studies a random sample of 11 tomato plants grown using Add1 and random sample of 13 tomato plants grown using Add2. (These samples are chosen independently.) When the plants are harvested, he counts their yields. These data are shown in the table. sume Yields (in number of tomatoes) 97, 115, 126, 108, 111, 131, 90, 93, 136, 101, 99 k 7 ment Add1 Add2 154, 171, 89, 100, 168, 172, 101, 192, 133, 176, 141, 113, 198 Send data to calculator Send data to Excel tub 2 Assume that the two populations of yields are approximately normally distributed. Can the engineer conclude, at the 0.01 level of significance, that there is a difference between the population mean of the yields of tomato plants grown with Add1 and the…
Consider the following hypothesis test. 2 H: 0,² 2 (a) What is your conclusion if n₁ = 21, s, ² = 4.2, n₂ = 26, and s₂² = 2.0? Use α = 0.05 and the p-value approach. Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject H₂. We cannot conclude that o, ² = 0,². 1 O Do not reject H. We cannot conclude that o O Reject H. We can conclude that a ²0₂². 2 O Do not reject H. We can conclude that , ² *0,² 2 (b) Repeat the test using the critical value approach. Find the value of the test statistic. State the critical values for the rejection rule. (Round your answers to two decimal places. If you are only using one tail, enter NONE for the unused tail.) test statistics test statistic 2 State your conclusion. O Reject H. We cannot conclude that ,2 # 0,₂². O Do not reject H. We cannot conclude that o 2 O Reject H. We can conclude that σ₂² # ₂². O Do not reject H. We can conclude that o
A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting a random sample of 12 workers and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below. Worker 1 2 3 4 5 6. 7 8. 9. 10 11 12 Process 1 85 63 46 85 83 70 64 51 48 69 67 52 Process 2 88 46 43 61 80 51 59 53 23 46 59 52 Difference - 3 17 3 24 19 5 -2 25 23 8 (Process 1 - Process 2) Send data to calculator Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding u, (which is with a letter "d" subscript), the population…
The mean SAT score in mathematics is 585. The standard deviation of these scores is 46. A special preparation course claims that the mean SAT score, u, of its graduates is greater than 585. An independent researcher tests this by taking a random sample of 50 students who completed the course; the mean SAT score in mathematics for the sample was 590. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 585? Assume that the population standard deviation of the scores of course graduates is also 46. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to…

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