5The Bureau of Labor Statistics reported that 16% of U.S. non-farm workers aregovernment employees. A random sample of 65 workers is drawna) Does the "Central Limit Theorem" hold? Since n. p=≥ 10 and n · (1 − p) =n(1-p)>10holds.n.p<1010 we conclude that CLTb) The mean of the sample proportion of non-farm workers that aregovernment employees is p=% and the standard=deviation of the sample proportion is ostandard deviation to 3 decimal places.c) The probability that the sample proportion of non-farm workers that aregovernment employees is less than 20% is: P(p < 0.2) =. Round your answer to two decimal places.d) What sample proportion is needed for for a non-farm worker to be at the60th percentile. (HINT: Use inverse probability) P(p <)= 0.60. Round your answer to two decimal places.Round the

Answered: The Bureau of Labor Statistics reported…

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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Let a population consist of the values 7 cigarettes, 21 cigarettes, and 22 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population? Calculate the mean absolute deviation for each possible sample of size 2 from the population. Sample Mean Absolute Deviation {7,7} __ {7,21} __ {7,22} __ {21,7} __ {21,21} __ {21,22} __ {22,7} __ {22,21} __ {22 ,22}
3. The range is completely determined by the two extreme scores in a distribution. The standard deviation, on the other hand, uses every score. a) compute the range (choose either definition) and the standard deviation for the following sample of n 5 scores. (note that there are three scores clustered around the mean in the center of the distribution, and two extreme values. SCORES = 0, 6, 7, 8, 14 b) now we break up the cluster in the center of the distribution by moving two of the central scores out to the extremes. Compute the range and the standard deviation. SCORES = 0, 0, 7, 14, 14 c) according to the range, how do the two distributions compare in variability? How do they compare according to the standard deviation?
23. A variable is described at N(5,9). This indicates normal distribution, with Mean= 5 and Variance = 9. b) a) What are the corresponding Z values for X values of 2 & 5? What is the probability that X is less than 2? What is the probability that X is less than 5? c) C: What is the probability that X is between 2 and 5? e) What is the probability that Z < -1.24? d)
17 - In an exam attended by 1000 people, the average of the grades is 75 and the standard deviation is 5.5, showing a normal distribution. Forty samples of n=25 people were taken from this population for non-refundable draws. How many of these 40 samples averaged in the range of [72-78].a) 37 B) 29 C) 17 D) 40 E) 32
For a population with a = 12, how large a sample is necessary to have a standard error that is less than 4 points? n > ?
11th -The variance of the sample formed by the sample averages of the samples randomly taken from a population with the condition of substitution, with a size of n=100, was found to be 0.01. What is the sample standard error value?a)0.001 B)0.014 NS)0.20 D)0.032 TO)0.10
Four-year-olds in China average 3 unsupervised hours per day. Most of the unsupervised children live in rural areas, considered safe. Suppose that the amount of unsupervised time is normally distributed with standard deviation 0.5 . A Chinese 4-year-old is randomly selected from a rural area. We are interested in the amount of time the child spends alone per day. In each appropriate box you are to enter either a rational number in "p/q" format or a decimal value accurate to the nearest 0.01 a. (3%) In words, the random variable X in which we are interested is defined by X = (pick one) b. (3%) Find the probability that the child spends less than one hour per day unsupervised. P(X 10) = d. (3%) The 70th percentile of the distribution of unsupervised time is given by P(X < = 0.70 .
10
1. The standard deviation of SAT scores is 100 points. A researcher decides to take a sample of 500 students’ scores to estimate the mean score of students in your state. What is the standard deviation of the sample mean? A) 0.2 B) 5 C) 4.47 D) 100 2. a binomial distribution with n = 10 and p = 0.2 . P(X = 5)= A) 0.34 B) 0.021 C) 0.026 D) 0.41
Let a population consist of the values 11 cigarettes, 12 cigarettes, and 22 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population? Calculate the mean absolute deviation for each possible sample of size 2 from the population. Mean Absolute Deviation Sample {11,11} {11,12} {11,22} {12,11} {12,12} {12,22} {22,11} {22,12} {22,22} (Type integers or decimals rounded to one decimal place as needed.) Budget Pi nd Pow....P Enter your answer in the edit fields and then click Check Answer. Clear All Check Answer parts
The average wait time to get seated at a popular restaurant in the city on a Friday night is 10 minutes. Is the mean wait time less for men who wear a tie? Wait times for 15 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 7, 10, 11, 9, 11, 7, 8, 11, 9, 9, 11, 9, 11, 9, 7 What can be concluded at the the α = 0.10 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be: H0: H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly less than 10 at α = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 10.…
The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. Use the range rule of thumb to identify a range of values that are not significant. a. The maximum value in this range is (Round to one decimal place as needed.) b. The minimum value in this range is (Round to one decimal place as needed.)

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