Q1)One-Sample t-Test:I am shopping for a new sedan and would like to get one with excellent miles per gallon (MPG). Iheard that Japanese cars tend to be more fuel efficient than American cars, so I collected MPGdata on a random sample of 12 Japanese 4-cylinder sedan models (listed in the table below) to becompared to the American car statistics. I would like to see if there is a significant difference, ineither direction, between Japanese sedans and American sedans. The US Environmental ProtectionAgency reported that the average MPG for American sedans in 2017 is μ = 29. I set the significancelevel at a = .10 for a two-tailed hypothesis test.Hint: Because we know the population mean for the American cars but not the standard deviation,we cannot conduct a Z test but should perform a one-sample t-test instead.Japanese carmodel123456789101112MPG323027363528322832283232 a. What is the dependent variable in this hypothesis test?b. What would be the null and alternative hypotheses in both words and symbol notations for myanalysis?c. What is your calculated sample mean?d. Estimate the standard deviation of the population from which the sample was drawn.e. Calculate the standard error (standard deviation of the sampling distribution).f. Calculate the t statistic for the sample.g. Determine the critical t value(s) based on the type of test, the preset alpha level, and degrees offreedom.h. Using jamovi, what is the corresponding p value for the t statistic?i. Compare the t statistic with the critical t value. is the calculated t statistic more extreme or lessextreme than the critical t value? Compare as well the p value with the alpha as. Based on thesecomparisons, do we "reject" or "fail to reject" the null hypothesis?j. Interpret the result in 1 sentence to answer the research question.k. Supporting Screenshot

Given The data is as follows: Japanese car model MPG 1 32 2 30 3 27 4 36 5 35 6 28…

Answered: a. What is the dependent variable in…

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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3. Which of the following are practical ways to assess equal variances of the residuals? Select all that apply a. Hartley's F-max test (provided data look normal and sample sizes are same); b. Bartlett's test (provided normality seems to hold; sample sizes do not have to be the same); c. Levene's test (normality and equal sample sizes aren't needed) d. Boxplots of residuals, or boxplots of standardized residuals, or boxplots of the original data. e. Boxplots of cats and dogs.
A. MULTIPLE CHOICE Directions: Write the letter of the correct answer on the space provided before each number. 1. For any hypothesis test, p-value = probability of committing a a. Type III error c. Type IV error b. Typel error d. Type II error 2. Which of the following is the standard deviation of the sample proportions? Po a. √pq C. n 90 Poqo b. d. n 3. For a z-test of proportions, which of the following is the rejection region for a two-tailed test? a. z> za or z>-Za C. Z -Za b. z>-Za/2 or z > Za/2 d. z Za/2 4. If po 0.48, what is go? c. 0.52 c. 0.48 d. 0.82 d. 0.62 5. In a test of Ho: μ = 100 against Ho : µ > 100, the sample data yielded the sample statistic z = 2.15. What is the p-value for the test. a. 0.0158 c. 0.0157 b. 0.0159 d. 0.0160
a. What are the null and alternative hypotheses? b. determine the test statistic c. determine the p-value
Answer the given problem below by following in hypothesis testing. Sample problem: Determine the weight of the students before and during the quarantine. Did the students lose more fat before the quarantine? Weight before quarantine: sample mean = 5.9 kg sample standard deviation = 4.1 kg sample size = n = 42 standard error = SEM1 = 4.1/ √42 = 0.633 Weight during quarantine: sample mean = 4.1 kg sample standard deviation = 3.7 kg sample size = n = 47 standard error = SEM2 = 3.7/ √47 = 0.540 measure of variability = sq root [(0.633)2 + (0.540)2] = 0.83 1. Determine the p-value = 0.03 (LOS= 95%; α=0.05) 2. Make a decision 3. Conclusion
Use the five steps in hypothesis testing. 1. Agriculture: Ground Water Unfortunately, arsenic occurs naturally in some ground water (Reference: UnionCarbide Technical Report K/UR-1. A mean arsenic level of parts per billion (ppb) is considered safe foragricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. Arandom sample of 37 tests gave a sample mean x̄ = 7.2 ppb arsenic, with s= 1.9 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a= 0.01
A. What is the value of the test statistic for a test with a null hypothesis that mu = 100, Xbar = 110 the standard deviation = 10 and n = 100? B. What is the value of the test statistic for a test with a null hypothesis that mu = 98.6, Xbar = 99.4, the sample standard deviation = 2 and n = 16?
The weekly expenditure on groceries of a random sample of 100 family households was recorded. It was estimated that the mean expenditure was approximately $240. With rising interest rates and petrol prices, it was anticipated that grocery expenditure might decrease. Which hypothesis test would you use to test this claim? 1.One tailed, one sample t-test 2.Two tailed, one sample t-test 3.One tailed, z-test 4.One-tailed Paired Samples t-test 5.Chi Square
10
A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? A. Ho: M₁ = ₂ H₁: H₁ H₂ C. Ho: M₁ = H2 H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) B. Ho: H₁ H₂ H₁ H₁
State the null and alternate hypothesis. Will you use a left tail, right tail or 2 tailed test? Identify the sampling distribution to be used: standard normal, Student’s t or chi squared. Find the value of the test statistic. Find the P-Value. Based on your answers, shall we reject or accept the null hypothesis? Write the conclusion in the context of the problem.
Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.01 significance level to test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels. OA. Ho: H₁1 H₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic is 0.20. (Round to two decimal places as needed.) The P-value is 0.423. (Round to three decimal places as needed.) State the conclusion for the…
You wish to test the following claim (Ha) at a significance level of a = 0.002. 66.2 Ha:µ # 66.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of 64.3 and a standard deviation size n 28 with mean x of s 5.2. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value The p-value is... less than (or equal to) a O greater than a

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