Graph the population distribution. Identify the individuals, the variable, and the parameter of interest.

Short Answer

Expert verified

The graph of the population distribution:

Step by step solution

01

Given Information

The percentages of milk, blue, orange, green, yellow, red and brown are 24%,20%,16%,14%,13%and13% candies in M&M's milk chocolate.

Number of candies are 50.

02

Explanation

An individual is made up of M&Mmilk chocolate candies, the variable is the color of the candies, and the parameter of interest is the proportion of orange candies.

Graph:

The figure could be constructed as:

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Most popular questions from this chapter

What does the CLT say? Asked what the central limit theorem says, a student replies, "As you take larger and larger samples from a population, the histogram of the sample values looks mote and more Normal." ls the student right? Explain your answer.

IRS audits The Internal Revenue Service plans to examine an SRS of individual federal income tax returns from each state. One variable of interest is the proportion of returns claiming itemized deductions. The total number of tax returns in each state varies from over 15 million in California to about 240,000in Wyoming.

(a) Will the sampling variability of the sample proportion change from state to state if an SRS of 2000tax returns is selected in each state? Explain your answer.

(b) Will the sampling variability of the sample proportion change from state to state if an SRS of 1%of all tax returns is selected in each state? Explain your answer

Larger sample Suppose that the blood cholesterol level of all men aged 20-34follows the Normal distribution with mean μ=188milligrams per deciliter (mg/dl) and standard deviation σ=41mg/dl

(a) Choose an SRS of 100men from this population What is the sampling distribution of x?

(b) Find the probability that xestimates μwithin ±3mg/dl. (This is the probability thatx¯takes a value between 185and191mg/dl.) Show your work.

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According to government data, 22%American children under the age of six live in households with incomes less than the official poverty level. A study of learning in early childhood chooses an SRS of 300children. Find the probability that more than 20%of the sample is from poverty households. Be sure to check that you can use the Normal approximation.

If we take a simple random sample of size n=500from a population of size 5,000,000, the variability of our estimate will be

(a) much less than the variability for a sample of size n=500 from a population of size 50,000,000.

(b) slightly less than the variability for a sample of size n=500from a population of size 50,000,000.

(c) about the same as the variability for a sample of size n=500from a population of size 50,000,000.

(d) slightly greater than the variability for a sample of size n=500from a population of size 50,000,000.

(e) much greater than the variability for a sample of size n=500 from a population of size 50,000,000.

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