**Question 16:** When $ n $ is small (less than 30), how does the shape of the t distribution compare to the normal distribution?a. It is almost perfectly normal.b. It is flatter and more spread out than the normal distribution.c. It is taller and narrower than the normal distribution.d. There is no consistent relationship between the t distribution and the normal distribution. **Question 15**A researcher conducts a hypothesis test using a sample of $ n = 20 $ from an unknown population. What is the $ df $ (degrees of freedom) value for the t statistic?a. 19b. 20c. 21d. Cannot be determined from the information given**Explanation:**When conducting a t-test, the degrees of freedom (df) is typically calculated as the sample size minus one ($ n - 1 $). Therefore, if the sample size $ n $ is 20, then the degrees of freedom would be $ 20 - 1 = 19 $. Hence, the correct answer is option a.

Solution is Option b. It is flatter and more spread out than the normal distribution.

Answered: 16. When n is small (less than 30), how…

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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You want to examine the relationship between dropping out of high school and delinquency. You have a random sample of 11 students. You have the number of delinquent offenses that each student reported committing in the year before and after dropping out of school. The following table shows the data. Student Before dropping out After dropping out 1 5 7 2 9 5 3 2 3 4 7 7 5 8 11 6 11 13 7 8 4 8 8 10 9 5 7 10 2 1 11 9 3 From performing a hypothesis test to determine if the mean number of delinquent differs after dropping out, what is the obtained t?
Please answer. Thank you!
For each of the following z-scores, sketch a normal distribution and draw a vertical line at the location of the z-score. Then, determine whether the body is to the right or the left of the z-score and find the proportion of the distribution located in the body. 7.2 z = 0.75 z = -0.67 а. z = -0.33 b. С. z = 1.96 d.
3. If we are given a Normal distribution with such at N(56, 11). Answer the following questions. a. What is the mean of the distribution? b. What is the standard deviation of the distribution?
Would a z-score of z =-1.19 be located to the left or to the right of the mean on the horizontal scale of the normal distribution curve? a. left b. right
Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
Using the appropriate table in textbook (Keller, Appendix B) or Excel, a. find z.05. Draw the distribution and locate the z-value (z.os) in the distribution. b. find-z.05. Draw the distribution and locate the z-value (-z.05) in the distribution. c. find t50,.01. Draw the distribution and locate the t-value (t50,.01) in the distribution. d. find-t50,.01. Draw the distribution and locate the t-value (-t50,.01) in the distribution. e. find X²0,.05. Draw the distribution and locate the x²-value (x²0,05) in the distribution. f. find F2,20,.05. Draw the distribution and locate the F-value (F2,20,.05) in the distribution.
D, e, f and h
4. What proportion of the normal distribution is located in the tail beyond z= -1.50?
Next question The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.6 cm. a. Find the probability that an individual distance is greater than 212.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 200.30 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four decimal places as needed.) b. The probability is (Round to four decimal places as needed.) c. Choose the correct answer below. OA. The normal distribution can be used because the probability is less than 0.5 OB. The normal distribution can be used because the mean is large. OC. The normal distribution can be used because the finite population correction factor is small. O D. The normal distribution can be used because the original population has a normal distribution. H a Type here esc ? 12 a * # 3 101 $ 4 ts % 5 X 16 40 a # hp &…

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