(a) State the null hypothesis H, and the alternative hypothesis H,.H, :0合H, :0(b) Determine the type of test statistic to use.(Choose one)O=D0(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the p-value. (Round to three or more decimal places.)(e) Can we conclude that u,, the mean travel time via the 10 freeway, isdifferent from u,, the mean travel time via the 60 freeway?OYes ONo Isabel has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. Inorder to determine which way she should travel on a daily basis, Isabel has recorded the travel times for samples of eight trips via the 10 Freeway and eighttrips via the 60 Freeway. The following table gives the travel timnes (in minutes) for the sixteen trips.Travel times in minutes10 Freeway 71, 68, 72, 72, 73, 71, 66, 7660 Freeway 67, 75, 69, 75, 75, 81, 71, 72Send data to calculatorSend data to ExcelAssume that the two populations of travel times are normally distributed and that the population variances are equal.Can we conclude, at the 0.01 level of significance, that u,, the mean travel time via the 10 freeway, is different from u,, the mean travel time via the 60freeway?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list offormulas.)

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Answered: (a) State the null hypothesis H, and…

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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Suppose there is a claim that a certain population has a mean, H, that is different than 5. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H1, as follows. Hg: u= 5 H1: u=5 Suppose you also know the following information. The value of the test statistic based on the sample is 1.506 (rounded to 3 decimal places). The p-value is 0.132 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), which statement below is true? Since the p-value is less…
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…
Find the value of the standard score, z, and determine whether to reject the null hypothesis at a 0.01 significance level. Is the alternative hypothesis supported? Ho p= 18.5 meters, H p18.5 meters, n= 144, x = 19.1 meters, o = 1.3 meters %3D The value of the standard score is (Round to two decimal places as needed.)
The mean SAT Score in mathematics is 523. The standard deviation of these scores is 39. A special preparation course claims that the mean SAT score, u, of its graduates is greater than 523. An independent researcher tests this by taking a random sample of 33 students who completed the course; the mean SAT score in mathematics for the sample was 541. Assume that the population is normally distributed. At the 0.01 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 523? Assume that the population standard deviation of the scores of course graduates is also 39. 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, : H : (b) Determine the type of test statistic to use. D=D OSO (Choose one) (c)…
Solve the problem. A researcher conducts a hypothesis test on a population proportion. Her null and alternative hypothesis are Ho: p = 0.6 and Ha: P < 0.6. The test statistic and p-value for the test are z = -1.51 and p-value = 0.0655. For a significance level of a = 0.05, choose the correct conclusion regarding the null hypothesis. O None of these. O There is sufficient evidence to warrant rejection of the null hypothesis. There is insufficient evidence to warrant rejection of the null hypothesis. STEP 1/3 Routin We're findi answer you In the mea DIVE DEEP
I. M. Schurr claims that students enjoy online classes more than professors. In order to test his claim, Schurr takes a sample of 60 students and determines 80% of the students enjoy online classes. For a sample of 40 professors, Schurr finds that 55% of the professors enjoy online classes. Do the data support Schurr’s claim that students enjoy online classes more than professors? a. State the null and alternative hypothesis that would be used to test whether students enjoy online classes more than professors.b. What is the appropriate test statistic?c. Determine the critical value(s) for this test using a 1% significance level.d. Calculate the value of the test statistic.e. What is your decision and conclusion?
A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: H₂: O O ab What type of test is being conducted in this problem? OA. Two-tailed test OB. Right-tailed test OC. Left-tailed test O O os 6.5 06.5 esc Statcrunch ! 1 Q 2 W #3 E $ ► 4 R % 45 F T MacBook Pro A ^ 6 Y & 7 U * 0
The average wait time to get seated at a popular restaurant in the city on a Friday night is 13 minutes. Is the mean wait time less for men who wear a tie? Wait times for 16 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 11, 14, 14, 14, 13, 13, 10, 11, 10, 10, 12, 10, 12, 14, 13, 11 What can be concluded at the the a = 0.05 level of significance level of significance?
(a) Write the claim mathematically and identify H0 and Ha. (b) Find the standardized test statistic z, and its corresponding area. (c) Find the P-value. (d) Decide whether to reject or fail to reject the null hypothesis. (e) Interpret your decision in the context of the original claim.
Solve the problem. When performing a hypothesis test for the ratio of two population variances, the upper critical F value is denoted FR. The lower critical F value, FL, can be found as follows: interchange the degrees of freedom, and then take the reciprocal of the resulting F value found in table A-5. FR can be denoted Fa/2 and FL can be denoted F1-a/2 - Find the critical values FL and FR for a two-tailed hypothesis test based on the following values: n₁ = 4, n₂ = 8, a = 0.05 0.1703, 5.8898 0.1112, 5.0453 0.0684. 5.8898 O 0.1211, 4.3541
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…
Kira has two ways to travel from her home in Norco to her office in LOs Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Kira has recorded the travel times for samples of eight trips via the 10 Freeway and eight trips via the 60 Freeway. The following table gives the travel times (in minutes) for the sixteen trips. Travel times in minutes 10 Freeway 71, 75, 69, 65, 65, 66, 72, 68 60 Freeway 76, 76, 66, 79, 74, 70, 72, 77 Send data to calculator Send data to Excel Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.10 level of significance, that u,, the mean travel time via the 10 freeway, is different from µ, the mean travel time via the 60 freeway? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers…

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