In what circumstances is the z score used instead of a t statistic for a hypothesis test? a.given the population mean, the z score is used when the standard deviation is unknown b.given the population mean, the z score is used when the population variance or standard deviation is known c.given the population mean, the z score is used if you are not sure that the population distribution is normal d.given the population mean, the z score is used when the sample size is 30 or larger

We have to explain in what situation we will use Z-score instead of t test

Answered: In what circumstances is the z score…

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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A professor wants to know whether or not there is a difference in comprehension of a lab assignment among students depending on if the instructions are given all in text, or if they are given primarily with visual illustrations. She randomly divides her class into two groups of 15, gives one group instructions in text and the second group instructions with visual illustrations. The following data summarizes the scores the students received on a test given after the lab. Let the populations be normally distributed with a population standard deviation of 5.32 points for both the text and visual illustrations. Text (Group 1) Visual Illustrations (Group 2) 57.3 59 45.3 57.6 87.1 72.9 61.2 83.2 43.1 64 87.3 76.7 75.2 78.2 88.2 64.4 67.5 89 86.2 72.9 67.2 88.2 54.4 43.8 93 97.1 89.2 95.1 52 84.1 Is there evidence to suggest that a difference exists in the comprehension of the lab based on the…
Suppose that you want to perform a hypothesis test for a population mean. Assume that the population standard deviation is unknown and that the sample size is relatively small. In each part, the distribution shape of the variable under consideration is given. Decide whether you would use the t-test, the Wilcoxon signed-rank test, or neither. a. Triangular b. Symmetric bimodal c. Left skewed
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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. A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAs. College A 3.7 3.2 3.0 2.5 2.7 3.6 2.8 3.4 College B 3.8 3.2 3.0 3.9 3.8 2.5 3.9 2.8 4.0 3.6 2.6 4.0 3.6 Construct a 95% confidence interval for μ1−μ2, the difference between the mean GPA of college A students and the mean GPA of college B students. Round to two decimal places. (Note: x1=3.1125, x2=3.4385, s1=0.4357 s2=0.5485
If the sample size is 100 and the population standard deviation is 20, then the standard deviation of the sampling distribution for means is 2. O True O False
Why do deviation scores have to be squared before calculating the standard deviation? Squaring is necessary when calculating inferential statistics. If deviation scores are not squared, then the average distance from the mean will always equal 0. Squaring deviation scores allows for degrees of freedom to be calculated. If deviation scores are not squared, then the interquartile ranges are incalculable.
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What does the t test for the difference between the means of 2 independent populations assume? A. The sample sizes are equal. B. The sample variances are equal. C. The populations are approximately normal. D. All of the above
A large sample size is needed to show significance in a test of two population standard deviation. O True O False

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	a.	given the population mean, the z score is used when the standard deviation is unknown
	b.	given the population mean, the z score is used when the population variance or standard deviation is known
	c.	given the population mean, the z score is used if you are not sure that the population distribution is normal
	d.	given the population mean, the z score is used when the sample size is 30 or larger