#20 on psych stats show full work 20. As noted on page 332, when the two population meansare equal, the estimated standard error for the indepen-dent-measures t test provides a measure of how muchdifference to expect between two sample means. Foreach of the following situations, assume that p₁ = μ₂and calculate how much difference should be expectedbetween the two sample means.a. One sample has n = 6 scores with SS = 500 and thesecond sample has n = 12 scores with SS = 524.b. One sample has n = 6 scores with SS = 600 and thesecond sample has n = 12 scores with SS = 696.c. In Part b, the samples have larger variability (big-ger SS values) than in Part a, but the sample sizesare unchanged. How does larger variability affectthe magnitude of the standard error for the samplemean difference?

Given that,When the two population means are equal, the estimated standard error for the independent…

Answered: - As noted on page 332, when the two…

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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As noted on page 275, when the two population means are equal, the estimated standard error for the indepen- dent-measures t test provides a measure of how much difference to expect between two sample means. For each of the following situations, assume that m1 5 m2 and calculate how much difference should be expected between the two sample means. One sample has n 5 6 scores with SS 5 70 and the second sample has n 5 10 scores with SS 5 140. One sample has n 5 6 scores with SS 5 310 and the second sample has n 5 10 scores with SS 5 530. In Part b, the samples have larger variability (big- ger SS values) than in Part a, but the sample sizes are unchanged. How does larger variability affect the magnitude of the standard error for the sample mean difference?
You have a population of 100 engineering students at a certain university and you want to interview only a sample to see if they agree that the average ticket for graduation costs $ 3,000. What should be the minimum sample size that meets a standard error of 0.05 and a reliability of 95%?
If a random sample of size n=160 has x¯=105 and s=9.5, find the standard error of the statistic.Round your answer to three decimal places, if necessary.
A random sample of n= 4 individuals is selected from a population with μ = 35, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 40.1 with SS = 48. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.) If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.) Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α = .05.
A random sample of n=4 individuals is selected from population with µ = 35, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M= 40. 1 with SS= 48. a. How much difference is there between the mean for the treated sample and the mean for the original population?(note: In a hypothesis test, this value forms the numerator of the t statistic.) b. If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard the standard error for M. (note: in a hypothesis test, this value is the denominator of the t statistic.) c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α=.05.
Consider the following: In general, when people diet they typically lose 10 lbs. (?σ = 2). A random sample of 16 people on the keto diet lost 15 lbs. Do people on the keto diet lose more or less weight than people on diets in general? 4. What is the research hypothesis? a) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar = Mu) b)Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar = Mu) c) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu) d) Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu)
A random sample of size n is chosen from a normally distributed population with a mean of µ and known standard deviation 6. a) Compute a 95% CI for µ if the sample mean is 41 and n = 25. b) Compute a 95% CI for µ if the sample mean is 41 and n is 49. c) What sample size is needed to create a 95% CI for µ with a width that is no greater than 2? d) Check your work by calculating a 95% CI for µ given x = 41 using the sample size from part c).
A sample with a mean of M = 40 and a variance of s2 = 12 has an estimated standard error of 2 points. How many scores are in the sample?
a random sample of n = 25 individuals is selected from a population with u = 20 and a treatment administered to each individual in the sample. After treatment the sample mean is found to be m =22.2 with SS =384. a) how much difference is there between the mean for the treated sample and the mean for the original population? (Note: in a hypothesis test this value forms the numerator of the drastic). b) if there is no treatment effect how much difference is expected between the sample mean and is population mean? That is to find the standard error for m. c) based on the sample data does a treatment have a significant effect? use a two tailed test with (x = 0.05.
The null and alternate hypotheses are:H0: μ₁ = μ2H1: μ₁ ≠ μ2 A random sample of 10 observations from one population revealed a sample mean of 26 and a sample standard deviation of 5.0. A random sample of 8 observations from another population revealed a sample mean of 30 and a sample standard deviation of 6.0. The population standard deviations are unknown but assumed to be equal. At the 0.01 significance level, is there a difference between the population means?
Assume that you have a sample of n1 = 7, with the sample mean XBar X1 = 44, and a sample standard deviation of S1 = 5, and you have an independent sample of n2 = 14 from another population with a sample mean XBar X2 = 36 and sample standard deviation S2 = 6. a. Using the level of significance α = 0.01, what is the critical value for a one tail test of the hypothesis H0:µ1 ≤ µ2 against the alternative H1:µ1 > µ2? b. What is your statistical decision?
8. Gravetter/Wallnau/Forzano, Essentials - Chapter 9 - End-of-chapter question 9 A random sample of n = 12 individuals is selected from a population with µ = 70, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 74.5 with SS = 297. Degrees of Freedom = 21 1. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.) 2. If there is no treatment effect, how much difference is expected just by chance between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.) 3. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α = .05. (Show three decimal places.) t-critical = ± t =…

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