A sample of 100 adult women was taken, and each was asked how many children she had. The results were as follows: Children 0 1 2 3 4 5 Number of Women 27 22 30 12 7 2 a. Find the sample mean number of children. b. Find the sample standard deviation of the number of children. c. Find the sample median of the number of children. d. What is the first quartile of the number of children? e. What proportion of the women had more than the mean number of children? f. For what proportion of the women was the num- ber of children more than one standard deviation greater than the mean? g. For what proportion of the women was the num- ber of children within one standard deviation of the mean?

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4. Find each value requested for the distribution of scores in the following table. а. п b. ΣΧ C. Σχ f 1 4 2 3 3 2 5 1 3 UNG

The average income in a state was ​$64 comma 64,000 per person per year. Suppose the standard deviation is ​$29 comma 29,000 and the distribution is​ right-skewed. Suppose we take a random sample of 100 residents of the state. Complete parts​ (a) and​ (b) below. a. What value should we expect for the sample​ mean? Why?   b. What is the standard error for the sample​ mean?

Task: Find the Bowley's coefficient of skewness for the following series 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

Find the weighted estimate, p to test the claim that p, = p2. Use a = 0.05. The sample statistics listed below are from independent samples. n, = 50, x, = 35, and = 60, x, = 40 O A. 0.682 O B. 0.238 C. 1.367 D. 0.328

Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is  = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and σ = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.30 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.30 grams? Use ? = 0.10. (a) What is the level of significance? (Enter a number.) State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ = 4.3 g; H1: μ > 4.3 g; right-tailed H0: μ < 4.3 g; H1: μ = 4.3 g; left-tailed…

The average price of a college math textbook is $165 and the standard deviation is $25. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. For the group of 10, find the probability that the average price is between $162 and $170. c. Find the third quartile for the average textbook price for this sample size. $ the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O No Yes (round to

Given the data set below find the following; 45, 34, 65, 20, 15, 25 a. Compute the sample mean b. Compute the sample standard deviation c. Compute the standard error of the mean.

Q6. Select the best response. The sampling distribution of the mean will be approximately Normaleven when the population is not exactly Normal as long as the sample is: A. medium B. large C. small