The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can beapproximated by a normal distribution, shown in the figure.(a) What is the minimum UGPA that would still place a student in the top 15% of UGPAS?(b) Between what two values does the middle 50% of the UGPAS lie?(a) The minimum UGPA that would still place a student in the top 15% of UGPAS is.(Round to two decimal places as needed.)Video TextbookClear all3.30a=0.213.30Grade point averageQGCheck answer

From the provided information, Population mean (µ) = 3.30 Standard deviation (σ) = 0.21 X~N (3.30,…

Answered: The undergraduate grade point averages…

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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High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 13 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized? (Round your answer to 2 decimal places.)
Listed below, from left to right and then top to bottom, are numbers of law enforcement fatalities for 20 recent and consecutive years. First find the mean, identify each value as being above the mean (A) or below the mean (B), then test for randomness above and below the mean using α = 0.05. Is there a trend? 183 140 173 172 144 163 242 159 150 165 164 155 191 147 124 160 171 125 106 116 The mean is. (Type an integer or a decimal. Do not round.) C
6
a. Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. What is the p-value? t-value (to 3 decimals) Degrees of freedom p-value is greater than 0.20 What is your conclusion? There is no significant difference between the mean scores for the first and final rounds. b. What is the point estimate of the difference between the two population means? (to 2 decimals) For which round is the population mean score lower? First round c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (to 3 decimals) Could this confidence interval have been used to test the hypothesis in part (a)? Yes Explain. Use the point of the difference between the two population means and add and subtract this MOE. If zero is in the interval the difference is not statistically significant. If zero is not in the interval the difference is statistically significant.
(a) Approximate the mean and standard deviation. Round each to two decimals. (b) Complete the last two columns in the table above for relative frequency and cumulative frequency. Round any decimals to 3 places. Do not include the zero before the decimal. For example for 0.56, enter .56 (c) What is the shape of the distribution?
1. Find the p-value. (Round to three or more decimal places.) 2. At the 0.01 level of significance, can the doctor conclude that the mean recovery time of patients who have the new procedure is less than the mean recovery time of patients who have the standard procedure?
The time spent (in days) waiting for a heart transplant in two states for patients with type A+ blood can be approximated by a normal distribution, as shown in the graph to the right. Complete parts (a) and (b) below. u= 134 0=18.1 What is the shortest time spent waiting for a heart that would still place a patient in the top 30% of waiting times?
Find the z-score boundaries that separate a normal distribution as described in each of the following. (4 points) The middle 36% from the 64% in the tails. The middle 60% from the 40% in the tails.
Sunscreens are products that protect the skin from skin cancer by preventing the sun's ultraviolet (UV) radiation from penetrating the skin. According to dermatologists, the recommended amount of sunscreen needed to cover the exposed areas of the body is at least an ounce. In a study conducted specifically for a group of women aged 21 to 30 years, it was found the amount of sunscreen (X) applied by the group follows the normal distribution with mean of 0.6 ounce and standard deviation of 0.25 ounce. The amount of sunscreen applied by women aged 21 to 30 years follows a bell-shaped distribution which is symmetric at X = _____.

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