Suppose 65% of households in America have no cats, 20% have one cat, and 15% have...

Suppose 65% of households in America have no cats, 20% have one cat, and 15% have exactly two cats.(For this question, we are assuming no one has more than two cats.) If we take a random sample of households in America, of size 20, what is the standard deviation of the corresponding sample, mean of the number of cats in each household? Round to TWO decimal places.

Solutions

Expert Solution

Solution :

The probability distribution of number of cats is given below :

Number of cats (X)	P(x)
0	0.65
1	0.20
2	0.15

The standard deviation of the sample mean is given as follows :

Where, σ is population standard deviation and n is sample size.

Now,

And

We have, n = 20

Hence, the standard deviation of the corresponding sample, mean of the number of cats in each household is 0.17.

Please rate the answer. Thank you.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

suppose you breed fancy cats and cat fur comes in two types: long or short. You...

suppose you breed fancy cats and cat fur comes in two types: long or short. You discover that when a purebred long-haired cat and a purebred short-haired cat mate, something unusual occurs: all of the female offspring have patches of long hair and patches of short hair. No two female cat look the same. All of the male offspring have fur length that matches their mother's. Your line of female cats with patchy fur becomes very popular among cat breeders,...

Suppose you have a sample size of n = 20, with a sample mean of 65...

Suppose you have a sample size of n = 20, with a sample mean of 65 and a sample standard deviation of 15. Suppose the population mean is thought to be 50. You want to find out whether your sample mean is different from the population mean. Which test should you use? Select one: a. paired t-test b. two proportion z-test c. one proportion z-test d. two sample t-test e. one sample t-test.

You want to know if, on average, households have more cats or more dogs. You take...

You want to know if, on average, households have more cats or more dogs. You take an SRS of 8 households and find the data below: # of cats # of dogs 2 1 0 1 3 3 2 4 0 0 4 2 0 2 2 1 A) Determine the population(s) and parameter(s) being discussed. B) Determine which tool will help us find what we need (one sample z test, one sample t test, two sample t test, one...

1. You want to know if, on average, households have more cats or dogs. You take...

1. You want to know if, on average, households have more cats or dogs. You take an SRS of 8 households and find the data below. # of cats, 2, 0, 3, 2, 0, 4, 0, 2, and the number of dogs is 1, 1, 3, 4, 0, 2, 2, 1. a) determine the populations and parameters being discussed b) determine which tool will be help us find what we need (one sample z test, one sample t test, two...

Suppose that 32% of people have a dog, 27% of people have a cat, and 12%...

Suppose that 32% of people have a dog, 27% of people have a cat, and 12% have both. What is the probability that someone owns a dog but not a cat?

In a particular community, 65 percent of households include at least one person who has graduated...

In a particular community, 65 percent of households include at least one person who has graduated from college. You randomly sample 100 households in this community. Let X=the number of households including at least one college graduate. What is the probability that at most 82 households include at least one college graduate?

Consider the data. xi 3 12 6 20 14 yi 65 40 60 15 20 The...

Consider the data. xi 3 12 6 20 14 yi 65 40 60 15 20 The estimated regression equation for these data is ŷ = 75.75 − 3.25x. (a) Compute SSE, SST, and SSR using equations SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2. SSE = SST = SSR = (b) Compute the coefficient of determination r2. (Round your answer to three decimal places.) r2 = Comment on the goodness of fit....

Consider the data. xi 3 12 6 20 14 yi 65 35 50 15 20 The...

Consider the data. xi 3 12 6 20 14 yi 65 35 50 15 20 The estimated regression equation for these data is ŷ = 70 − 3x. (a) Compute SSE, SST, and SSR using equations SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2. SSE=SST=SSR= (b) Compute the coefficient of determination r2. (Round your answer to three decimal places.) r2 = Comment on the goodness of fit. (For purposes of this exercise,...

5. According to a reliable source, 65% of murders are committed with a firearm. Suppose 15...

5. According to a reliable source, 65% of murders are committed with a firearm. Suppose 15 murders are randomly selected. First construct a relative and cumulative frequency distribution for the situation. Then confirm that it is both a probability and binomial probability distribution. a. Compute the mean. b. Compute the standard deviation. c. Would a sample of 15 with 6 murders committed with a firearm be considered unusual? Justify your reasoning. d. Find the probability that exactly 10 murders are...

According to a reliable source, 65% of murders are committed with a firearm. Suppose 15 murders...

According to a reliable source, 65% of murders are committed with a firearm. Suppose 15 murders are randomly selected. First construct a relative and cumulative frequency distribution for the situation. Then confirm that it is both a probability and binomial probability distribution. a. Compute the mean b. Compute the standard deviation c. Find the probability that exactly 10 murders are committed with a firearm. d. Find the probability that at most 11 murders are committed with a firearm. e. Find...

Subjects