At a particular university, students' grades in introductory statistic classes are generally unimodal and skewed to the left with a mean of μ = 63 and16.9. (Round to 2 decimal places for all z-values and round all other answers to 4 decimal places, if needed.)(a) The distribution of students' grades is is approximately normal ◆(b) If n = 36 students are selected at random, the distribution of the sample mean grade is approximately normaldeviation of(c) The probability that the sample mean grade for these 36 students is less than 68.0 is(d) If n = 36 students are selected at random, the distribution of the sample total grade is approximately normal +deviation of(e) The probability that the total grade for these 36 students is less than 2448.0 isCheckwith a mean ofwith a mean ofstandard deviation of o=and a standardand a standard

Given that: Population mean, μ=63 Population standard deviation, σ=16.9

Answered: At a particular university, students'…

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 marketing study was conducted to compare the average age of male and female buyers of a certain product. Random and independent samples were selected for male and female buyers of the product. We wanted to conduct a test to determine whether the mean age of all female buyers is higher than the mean age of all male buyers. Sample data is shown here: Women: n = 10, sample mean = 50.30, sample standard deviation = 13,215 Male: n = 10, sample mean = 39.80, sample standard deviation = 10,040 Find the rejection region to establish the correct conclusion when testing at alpha = 0.01.
(O) In a normal distribution, what is the z-score of an observation that is at the 48th percentile?
a random sample of n = 36 students who registered for Introductory Psychology is placed in the online version of the course. At the end of the semester, all students take the same final exam. The average score for the sample is M = 76. For the general population of students taking the traditional lecture class, the final exam scores form a normal distribution with a mean of u = 71. a. If the final exam scores for the population have a standard deviation of o = 12, does the sample provide enough evidence to conclude that the new online course is significantly different from the tra- ditional class? Use a two-tailed test with a = .05. %3D b. If the population standard deviation is o = 18, is the sample sufficient to demonstrate a significant differ- ence? Again, use a two-tailed test with a = ,05. c. Comparing your answers for parts a and b, explain how the magnitude of the standard deviation influ- ences the outcome of a hypothesis test.
The weight in kilograms of the citizens of Fredonia has a mean of 50 kg and standard deviation of 24 kg (a) Find the mean of the sampling distribution of the sample mean. (b) Find the standard deviation of the sampling distribution of the sample mean.
The average age of trees in a large local park is 60 years with a standard deviation of 2.2 years A simple random sample of 4 trees is selected, and the sample mean age z of these trees is computed. The percentage of trees older than 60.1 years is
Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an A to students scoring more than 1.9 standard deviations above the mean. • She assigns an F to students scoring more than 2.2 standard deviations below the mean. She assigns a B to students who Score between 1 and 1.9 standard deviations above the mean. • She assigns a D to students who Score between 1.2 and 2.2 standard deviations below the mean. • All other students get a C. Use the Cumulative Z-Score Table to answer the following questions. The Z-Score Table can be found below by selecting "Read". Write your answer as a percent using 2 decimal places. What percent of the class receives each grade assuming the scores are normally distributed? Hint % will recieve an A % will recieve a B % will recieve a C % will recieve a D % will recieve an F
Suppose heights, in inches, of male orangutans have an unknown distribution with mean 60 and standard deviation 3 inches. A sample of size n = 49 is randomly taken from the population and the mean is taken. Using the Central Limit Theorem for Means, what is the sample mean distribution?
A sample of size 8 was collected from an unknown population 0 1126 10 11 20 1. Use the table of expected z-scores (rounded to the nearest tenth) below to construct the normality plot with expected z-scores on the x-axis and the observations on the y-axis: 5 -1.2 -0.5 0 0.5 1.2 Clear All Draw: 22- 2 not normal normal 19 # 6 -1.3 -0.6 -0.2 0.2 0.6 1.3 7 -1.4 -0.8 -0.4 0 0.4 0.8 1.4 8 -1.4 -0.9 -0.5 -0.2 0.2 0.5 0.9 1.4 9 -1.5 -0.9 -0.6 -0.3 0 0.3 0.6 0.9 1.5 2. Based on whether the pattern above is linear or not, in your opinion, was the sample drawn from a normal population or not?
The distribution of the number of siblings for students at a large high school is skewed to the right with mean 1.8 siblings and standard deviation 0.7 sibling. A random sample of 100 students from the high school will be selected, and the mean number of siblings in the sample will be calculated. Which of the following describes the sampling distribution of the sample mean for samples of size 100 ? Skewed to the right with standard deviation 0.7 sibling A Skewed to the right with standard deviation less than 0.7 sibling B Skewed to the right with standard deviation greater than 0.7 sibling C Approximately normal with standard deviation 0.7 sibling D Approximately normal with standard deviation less than 0.7 sibling E Chose A, B, C, D, or E
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players’ salaries and 35 football players’ salaries is selected. The mean salary is determined for both samples. Let represent the difference in the mean salaries for baseball and football players. Which of the following represents the shape of the sampling distribution for ? skewed right since the populations are both right skewed skewed right since the differences in salaries cannot be negative approximately Normal since both sample sizes are greater than 30 approximately Normal since the sum of the sample sizes is greater than 30

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