The distribution of the number of children in a household is strongly skewed right. Most households have 0, 1, or 2 children,although some have 3, 4, 5, or even more than 5 children. The mean number of children per household is μ = 2.75 children withstandard deviation o = 1.22 children.Describe the shape of the sampling distribution of x for SRSS of size n = 50 from the population of households.Because n = 50 > 30, the sampling distribution of x will be approximately normal.Because n = 50 > 30, the sampling distribution of x will be skewed to the right, but not as strongly as the population.50 > 30, the sampling distribution of x will be skewed to the right just as strongly as the population.Because n =Because n = 50 > 30, we do not have enough information to draw a conclusion about the shape of the samplingdistribution of x.Because n = 50 > 30, the sampling distribution of x will be skewed to the right even more strongly than thepopulation.

Central limit theorem: As sample size increases, the sampling distribution of sample mean follows…

Answered: ſhe distribution of the number of…

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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The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion H0:H0: ? μ p Select an answer = ≠ > < H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
Team A: 6,6,7,7,6,5,6,5,4,5 Team B: 2,2,3,8,9,9,9,9,10,10 a. Compute the mean number of shots made for each team b. Compute the standard deviation for each team c. Compute a Z-score for the individual from team A that made 4 shots d. Compute a Z-score for the individual from team B who made 10 shots e. Using non-statistical language, write several sentences describing the difference in the free-throw shooting abilities between the two teams
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twenty year-olds have fewer cavities? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 3, 4, 4, 4, 5, 5, 6, 4, 5, 4, 3, 5, 6, 5, 3 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v|| Select an answer H: ?v Select an answer v c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly less than 5 at o =- 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for…
A survey of 2255 randomly selected US adults found that 51% said they know all or most of their neighbors. Find 90% CI for the proportion of US adults they know most or all their neighbors. The sample size of 200 is large enough to use a normal distribution.
Suppose the percentage of married couples who own a home is 33% for a given population. What is the standard error of the sampling distribution of proportions for the sample sizes n = 200, n = 300, and n = 400?
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 9, 8, 8, 10, 10, 9, 9, 10, 6, 6, 9, 8, 8 What can be concluded at the α = 0.01 level of significance? The p-value = _______ (Please show your answer to 4 decimal places.) The p-value is _______ α Based on this, we should _________ the null hypothesis.
An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. The test statistic that will determine if there is a difference in the effectiveness of the two vaccines..... A. 2,579 B. 2.76 C. 0.58 D. 0.787
9. If we take samples of size 110 from a population with proportion 0.39, comment on whether the sampling distribution follows a normal distribution. Explain.

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