If a hypothesis test were to be performed, in which of the following contexts would a t-test be appropriate?Select the correct answer below:OA simple random sample of 29 books is taken from a public library and the lengths (pages) were collected. Thesample mean is 166 pages and the population standard deviation is 27 pages.OA sample mean of 30 pounds and a sample standard deviation of 5 pounds are obtained using a simple randomsample of 27 dogs from the dogs within a county, which have approximately normally distributed weights.OA sample mean of 31,994 dollars and a standard deviation of 4,658 dollars are obtained using a simple randomsample of 22 individuals from the residents of a town having approximately normally distributed incomes. Thepopulation standard deviation is 3,959.3 dollars.0A convenience sample of 16 vehicles is taken from a large group of vehicles with approximately normallydistributed fuel consumption rates. The sample mean is 20 miles per gallon and the sample standard deviationis 2 miles per gallon.

The required conditions to perform a t – test:The required conditions for using t distribution to…

Answered: If a hypothesis test were to be…

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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The sales manager of a food company wants to determine if the weekly sales of 16 ounce packages of frozen broccoli has increased since last year. The mean weekly number of sales per store was 2,400 packages last year. The sales manager set the following hypotheses to test Hol=2400 H₁:H>2400 Available sales data are from 400 stores. Assume that this data set is a random sample. The sample mean is 2,430 and the sample standard deviation is 800. For the significance level of 5%, find the critical value. a) 2478.4 b) 2430 Oc) 2321.6 d) 2334.4 e) 2465.6
An electrician wants to know whether batteries made by two manufacturers have significantly different voltages. The voltage of 58 batteries from each manufacturer were measured. The population standard deviations of the voltage for each manufacturer are known. The results are summarized in the following table. Manufacturer Sample mean voltage (millivolts) Population standard deviation(millivolts) A 186 2 B 185 3 What type of hypothesis test should be performed? What is the test statistic? Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the α=0.1 significance level?yes or no
Which conditions are necessary to check before conducting a significance test? I. Data was collected randomly II. The standard deviation of the population is known III. The population is Normally distributed IV. Each element of the sample is independent V. The sampling distribution is normally distributed Select one: 1. I, IV, V 2. I, III, V 3. I, III, and IV 4. I, II, and IV
A survey was done of 40 people. They were asked: Would you like a theater that charges less for food items? 40 people answered: Yes - 39 No - 1 Find the following: Probability Frequency Mean Median Mode Variance or Standard deviation
Below are the sample standard deviations and sample sizes for independent simple random samples from two populations. Use the two-standard-deviations F-test and the two-standard-deviations F-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. S₁ = 21.5, n₁ = 13, S₂ = 36.9, n₂ = 5 a. two-tailed test, a = 0.05 b. 95% confidence interval
Twenty-eight college faculty at Acme Looniversity who volunteered for a fitness program were divided into low-fitness and high-fitness groups based on a physical examination. The subjects then took a Personality Factor Questionnaire. Below are the data for the "ego strength" measurement based on the questionnaire. Acme Looniversity Data Group Fitness Sample size Average Standard deviation 1 Low 14 4.6 0.69 2 High 14 6.4 0.43 Assuming the data for Group 1 and 2 are independent of each other and are both normally distributed, compute a 90% confidence interval for the difference between the two means. Round your answer to 3 decimal places. What conclusion can you draw? Group of answer choices (-2.173,-1.427), Group 1 is bigger (-1.923,-1.677), Group 2 is bigger (-2.173,-1.427), Group 2 is bigger (-1.923,-1.677), no conclusion (-1.923,-1.677), Group 1 is bigger
A manufacturer claims that only 2% of their products are defective. A store receives a delivery of 300 items from the manufacturer. Let p-hat = the proportion of defective items in a sample of 300 items. Assuming the manufacturer is correct that only 2% of their products are defective, what are the mean and standard deviation of the sampling distribution of p-hat ? Options: The mean is 0.02 and the standard deviation is 0.008. The mean is 6 and the standard deviation is 2.42. The mean is 6 and the standard deviation is 5.88. The mean is 0.02 and the standard deviation is 0.196.
Online customer service is a key element to successful online retailing. According to a marketing survey, 30% of online customers take advantage of the online customer service. Assume the population proportion of those who use online customer service is 0.30. Random samples of 100 customers are selected. What is the standard deviation of the sampling distribution of the proportion?
Listed below are the lead concentrations (in ug/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 µg /g. 2.96 6.45 5.99 5.51 20.53 7.45 11.97 20.46 11.52 17.54 D Identify the null and alternative hypotheses. Ho: H1: (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. V the null hypothesis. There sufficient evidence at the 0.01 significance level to V the claim that the mean lead concentration for all Ayurveda medicines…
A developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.
Listed below are the lead concentrations (in µg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 μg/g. 2.95 6.46 6.00 5.46 20.49 7.51 12.02 20.45 11.50 17.54 Identify the null and alternative hypotheses. Ho H₁: (Type integers or decimals. Do not round.)
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