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 sample of 21 dogs is taken from the dogs within a county with approximately normally distributed weightsThe sample mean is 22 pounds and the sample standard deviation is 3 pounds. The population standarddeviation is 2.5 pounds.OA convenience sample of 29 two-inch candles is taken from the candles offered at a candle store and theburning times were collected. The sample is used to estimate the burning times for all the candles in the store.The sample mean is 4 hours and the sample standard deviation is 1.25 hours.OA sample mean of 20 minutes and a sample standard deviation of 4 minutes are obtained using a simplerandom sample of 11 individuals from the residents of a city, which have approximately normally distributedcommute times.OA sample mean of 90 and sample standard deviation of 7 are obtained using a simple random sample of size 25from a normally distributed population with standard deviation 2.

In this question we have to choose one correct option in which we can use t distribution for…

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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In a certain test in Calculus, the mean score of a group of 100 students was 30 and the standard deviation was 8. In a test in Physics, the mean was 52 and the standard deviation was 6. If a student scored 65 in Calculus and 70 in Physics, in which test did the student perform better? O The students performed better in their Physics test O The performance is unable to determine. O The students performed the same in both tests. O The students performed better in their Calculus test
Find the sample standard deviation
6. A sample of 100 adult women was taken, and each was asked how many children she had. The results were as follows: Children 0 Number of 24 Women 1 20 2 35 3 13 4 7 5 1 a. Find the sample mean number of children. b. Find the sample standard deviation of the number of children. c. Find the sample median of the number of children. d. What is the first quartile of the number of children? e. What proportion of the women had more than the mean number of children? f. For what proportion of the women was the number of children more than one standard deviation greater than the mean? g. For what proportion of the women was the number of children within one standard deviation of the mean?
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
A variable of a population has a mean of µ = 82 and a standard deviation of o = 9. a. Identify the sampling distribution of the sample mean for samples of size 81. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 25 instead of 81? Why or why not? a. What is the shape of the sampling distribution? normal uniform skewed O bimodal What is the mean of the sampling distribution? Hi = (Simplify your answer.) What is the standard deviation of the sampling distribution? (Simplify your answer.) b. In answering part (a), what assumptions did you make about the distribution of the variable? A. It was assumed that the variable was normally distributed. B. No assumptions were made because, for a relatively large sample size, the sampling distribution is normal, regardless of the distribution of the variable under consideratio
Buyer's Digest is rating thermostats manufactured by two manufacturers, Thermorite and Tempking. In a recent test, 28 thermostats from Thermorite and 12 thermostats from Tempking were randomly selected and placed in a test room that was maintained at a temperature of 68°F. Average temperature readings were as follows: Thermorite: 68 Tempking: 66 Sample standard deviations were: Thermorite: 0.52 Tempking: 0.8 If we want to conduct a hypotheses test with a-05 to see whether the temperature reading variance for Thermorite is smaller than Tempking. what is the correct test statistic? (Round your answer to three decimal places) Test Statistic
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Heights of men have a mean of 69.0 inches and a standard deviation of 2.8 inches.Find each of the following z-scores and tell if it is unusual. a) Nosferatu is 7 ft. 1 in. tall: z = and that is (unusual/not unusual) b) Bob the Builder is 5 ft. 4 in. tall: z = and that is (unusual/not unusual) c) Kendrick is 69.72 inches tall: z = and that is (unusual/not unusual)
MC Qu. 10-64 Sales at a fast-food restaurant average... Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to Increase daily sales. In order to determine the effectiveness of the advertising campaign, a sample of 49 day's sales were taken. The sample showed average daily sales of $6,300. From past history, the restaurant knew that its population standard deviation is about $1,000. If the level of significance is 0.01, have sales increased as a result of the advertising campaign? Multiple Choice Fail to reject the null hypothesis. Reject the null hypothesis and conclude the mean is higher than $6,000 per day. Reject the null hypothesis and conclude the mean is lower than $6,000 per day. Reject the null hypothesis and conclude that mean equal to $6,000 per day.
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To decide between using an independent-samples t test and a paired-samples t test, what question should the researcher ask? a. Is the goal to measure association or to make a prediction? b. Are there more than two levels of the independent variable? c. Is the population mean known? d. Is the research design between-groups or within-groups
Consider the following set of data: Law students Engineering students Sample Size 107 160 Mean $53.20 $72.76 Standard Deviation $2.67 $3.12 What is the correct degrees of freedom to use in the t test to determine whether there is evidence of a difference in the population means between the Law students and Engineering students?

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