8. Suppose P is the proportion of successes in a random sample of size n from a large population with atrie proportion of success p. What are the mean and the standard deviation of the sampling distnbutionof P in terms of n and p?The mean is p and the standard deviation is p1-p).b.The mean is p and the standard deviation is /rp(1-pP1-pC.The mean is np and the standard deviation isP.The mean is p and the standard deviation is

Answered: Image /qna-images/answer/7aed1ada-76b1-43df-88d2-80b8409cb816.jpg

Answered: 8. Suppose P is the proportion 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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1. A population is normally distributed with a mean of-30 (negative 30) and a standard deviation of 4. (Show work) a. What is the mean of the sampling distribution (HM) for this population? b. If a sample of 16 participants is selected from the population, what is the standard error of the mean?
A population has a mean of 300 and a standard deviation of 40. Suppose a simple random sample of size 100 is selected and Z is used to estimate . Use z table. a. What is the probability that the sample mean will be within +8 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within +10 of the population mean (to 4 decimals)?
20. Sampling distribution. From 1975 through 2016, the mean gain of the Down jones industrial average was 470. A random sample of 32 years is selected from population. What is the probability that the mean gain for the sample was between 200 and 500. The standard deviation of population is 1215
4. The time required for all cross-country skiers to complete a race has a normal distribution with a mean of 46 minutes and a standard deviation of 6 minutes. You choose a random sample of six skiers, and the mean of the sample is denoted i. What are the mean and standard deviation of ?
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
24. How does the t distribution differ from the Z distribution? a. It has a smaller standard deviation and hence thinner tails than the Z distribution. b. It has a larger standard deviation and hence thicker tails than the Z distribution. c. The t and Z distributions are no different.
A researcher wants to know if there is a difference between the mean amount of sleep that people get for various types of employment status. The table below shows data that was collected from a survey. Full Time Worker Part Time Worker Unemployed 6 6 7 5 6 7 8 9 9 7 6 8 8 8 8 8 8 8 6 6 8 8 7 6 9 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01.H0: μ1=μ2=μ3H0: μ1=μ2=μ3H1:H1: At least two of the means differ from each other. For this study, we should use Select an answer 2-PropZTest 2-PropZInt 1-PropZInt 2-SampTInt 1-PropZTest T-Test χ²-Test ANOVA χ²GOF-Test TInterval 2-SampTTest The test-statistic for this data = (Please show your answer to 3 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.) The p-value is Select an answer less than (or equal to) alpha greater…
The distribution of the number of motor vehicles per household in the United States (the population) and sampling distributions of the mean for samples of size 4 and 10 are shown in below. A.Which distribution is which? Make a rough estimate of the mean and standard deviation of each distribution. Explain the reasons of your choices.b. The mean of the population is about 1.7. Theoretically, what is the mean of the sampling distribution for samples of size 4? Of size 10? Are these computed means consistent with your estimates of the means in the histograms? Briefly explain.c. The standard deviation of the population is about 1. Theoretically, what is the Standard Error (SE) of the sampling distribution for samples of size 4? Of size 10? Are these computed SEs consistent with your estimates of the SEs in the histograms? Briefly explain.d. Compare the shapes of the three distributions. Are the shapes consistent with the Central Limit Theorem? Briefly explain.
4. Let X be a random variable representing dividend yield of Australian bank stocks. We may assume that X has a normal distribution with standard deviation = 2.4%. A random sample of 19 Australian bank stocks has a sample mean of = 8.71%. For the entire Australian stock market, the mean dividend yield is = 5.9%. Do these data indicate that the dividend yield of all Australian bank stocks is higher than 5.9% ? Use Q=.05. Are the data statistically significant at the given level of significance? Based on your answers, will you reject or fail to reject the null hypothesis? A. The p-value is less than the level of significance and so the data are not statistically significant. Thus, we reject the null hypothesis. B. The p-value is less than the level of significance and so the data are statistically significant. Thus, we fail to reject the null hypothesis. C. The p-value is greater than the level of significance and so the data are statistically significant. Thus, we fail to reject the…
Mr 8. The results for an IQ quiz taken by 8 students from Ze Class A and Class B are shown below. The fal maximum score for the quiz is 25. we Class A: 4, 6, 6, 7, 8, 10, 11, 12 Class B: 0, 1, 1, 2, 3, 14, 17, 25 (i) Calculate the mean and standard deviation for Class A and Class B. Show your working clearly.
16. The distribution of the number of chocolate chips (x) in a cookie is shown in the following table. Find the mean and the variance of the number of chocolate chips in a cookie. 1 2 3 4 P(X = x) .01 .03 .05 .11 .13 6 7 8 P(X = x) .24 .22 .16 .05
A study was conducted to investigate the ages of college students. Let X = the age of a college student 1. Suppose X follows a distribution skewed to the right.What is true about the shape of the distribution of , the mean age X-bar , for a sample of 100 college students? 2. As the sample size increases, how does that affect the mean for the distribution of X-bar? Group of answer choices 3. Which of the following has the smallest standard deviation? I. The distribution for X = the age of a college student II. The distribution for X-Bar = the average age for a sample of 100 college students III. The distribution for X-Bar = the average age for a sample of 400 college students

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