Exercise 10.03 (Inferences About the Difference Between Two Population Means: Sigmas Known)Consider the following hypothesis test.The following results are for two independent samples taken from two populations.Excel File: data10-03.xlsxEnter negative values as negative numbers.a. What is the value of the test statistic? (to 2 decimals)b. What is the p-value? (to 4 decimals)c. With a 0.05, what is your hypothesis testing conclusion?Select your answer-Sample 1711-807₁- -10418.4Ho: 11-1₂-0H₁: 1-20Sample 27₂-703₁-1060₂ = 7.6

Answered: Consider the following hypothesis test.…

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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After clicking the Generate Results button, SALT will display the summary of the One Sample t test on the right side of the Inferential Statistics page. Enter the requested values below. Round your standard error to three decimal places and your test statistic to two decimal places. Standard Error: Test Statistic: Degrees of freedom: P-value: 0.493 66.366 53 53 less than 0.05 0.493 66.37 less than 0.05 Step 5 of 5 Since the P-value is less than our significance value of 0.05, this leads us to reject the null hypothesis. Based on the sample data, there ---Select--- convincing evidence that male Boston Marathon winners have an average finish time that is longer than the male Boston Wheelchair Marathon winners than what could have resulted from sampling error alone. In other words, Boston's male wheelchair athlete winners finish a marathon in ---Select--- time, on average, than male Boston marathon winners. Optional extension: In case you would like to investigate whether a similar…
Four brands of lightbulbs are being considered for use in the final assembly area of the Ford F-150 truck plant in Dearborn, Michigan. The director of purchasing asked for samples of 100 from each manufacturer. The numbers of acceptable and unacceptable bulbs from each manufacturer are shown below. At the .05 significance level, is there a difference in the quality of the bulbs? (Round your answers to 3 decimal places.) H0: There is no relationship between quality and manufacturer. H1: There is a relationship. 1. Reject H0 if X2 >____ 2. X2 = ____ (Reject or Do Not Reject) H0. Ther (is a/is no) relationship between quality and manufacturer.
A study of seat belt yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke dy are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data? 5 sic Click the icon to view the data table. use. ..... Hа: Heavy Determine the test More info izlet. y of X-(Round to claim Number of Cigarettes Smoked per Day 15-34 Determine the P-v 1-14 35 and over le wh Wear Seat Belts 190 13 36 10 P-Value = (Rou Don't Wear Seat Belts 152 13 45 ww.nur y is that people ry supported by Use a 0.05 signific who smoke are les the sample data? nour seat Done theory is not zed in t Print O A. There is nd supported S Top eat belt. The O B. There is no theory is supportou Dy ao vampIG Gutu. O C. There is sufficient evidence to reject the claim that heavy smokers…
A running coach wanted to see whether runners ran faster after eating spaghetti the night before. A group of six runners was randomly chosen for this study. Each ran a 5 kilometer race after having a normal dinner the night before, and then a week later, reran the same race after having a spaghetti dinner the night before. The times for their races are shown in the table below. What test statistic should be used in a test for these samples? Runner Runner 5 6 Runner 1 Runner 2 Runner 3 Runner 4 Regular Dinner 1019 s 1004 s 1028 s 989 s 1035 s 1015 s Spaghetti 1012 s 999 s 1025 s 988 s 1036 s 1018 s Dinner 2.45 -2.45 ±1.31 O 1.31
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Two computer users were discussing tablet computers. A higher proportion of people ages 16 to 29 use tablets than the proportion of people age 30 and older. The table below details the number of tablet owners for each age group. Test at the 1% level of significance. (For subscripts let 1 = 16-29 year old users, and 2 = 30 years old and older users.) 16–29 year olds 30 years old and older Own a Tablet 69 231 Sample Size 625 2,313 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: p1 < p2 H0: p1 > p2 H0: p1 ≠ p2 H0: p1 = p2 H0: p1 ≥ p2 Part (b) State the alternative hypothesis. Ha: p1 < p2 Ha: p1 ≠ p2 Ha: p1 = p2 Ha: p1 > p2 Ha: p1 ≤ p2 Part (c) In words, state what your random variable P'1 − P'2 represents. P'1 −…
Consider testing the hypotheses Ho: p 0.4 versus Hai p> 0.4. Four possible sample statistics, along with four possible p-values, are given. Match the statistics to their p-values. p= 0.42 p=0.38 p= 0.51 p= 0.46 D
An independent measures study with n = 6 in each sample produces a sample mean difference of 8 points and Sm1-m2= 2. What is the value for the T statistic? A. 1 B. 2 C. 4 D. 4/-8
What is the standard error for the independent sample t statistic for the two samples? Sample 1 n = 6, SS = 56 Sample 2 n = 4, SS = 40 Select one: 2.24 9.6 12 5
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A marketing director developed a short television commercial to improve the image of a company. The commercial was tested on 20 people. People’s attitudes about the company were measured with a questionnaire when they first came in for the experiment and then again with the same questionnaire after viewing the commercial. Which statistical test would be best to determine if there is a significant difference between measures? one-sample t-test dependent samples t-test independent samples t-test ANOVA
Question #2 A diet guide claims that you will get 120 calories in a serving of vanilla yogurt. Consumer Reports tested 14 brands of vanilla yogurt and found the following numbers of calories per serving: 160 200 220 230 120 180 140 130 170 190 80 120 100 170 Test the claim that the mean number of calories per serving of vanilla yogurt is 120. Use a significance level of 0.05. Show all the steps of your hypothesis test including The p-value: Initial conclusion Final conclusion about the original claim

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