Question

Asked Dec 12, 2019

39 views

σ = $2,400.

(a)

What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean for each of the following sample sizes: 30, 50, 100, and 500? (Round your answers to four decimal places.)

sample size *n* = 30sample size *n* = 50sample size *n* = 100sample size *n* = 500

(b)

What is the advantage of a larger sample size when attempting to estimate the population mean?

A larger sample lowers the population standard deviation.A larger sample increases the probability that the sample mean will be a specified distance away from the population mean. A larger sample has a standard error that is closer to the population standard deviation.A larger sample increases the probability that the sample mean will be within a specified distance of the population mean.

Step 1

(a)

The probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean is calculated below:

**When sample size n=30:**

From the given information, the population mean is 16,642 and standard deviation is 2,400.

Step 2

**When sample size n=50:**

Step 3

**When sample size n=100:**

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Use the stem-and-leaf plot to list the actual data entries. What's is the maximum data entry? What i...

A: From the given plot, the stem value is 10.

Q: In exploring possible sites for a new gym in a suburban neighborhood, the city council wants to be 9...

A: Here, the 95% certain of the proportion of residents in favour of the proposal is estimated. Hence, ...

Q: On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential...

A: (a)The null and the alternative hypotheses are given below:

Q: The equation used to predict annual cauliflower yield (in pounds per acre) is y = 24,677 + 4.556x, -...

A: The regression equation is given as,

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children ar...

A: Given thatThe height of ten year old children are approximately normally distributed with mean (µ) 5...

Q: Q Search the web... y google - Yahoo Search Results Ya X A Chapter 7 webassign.net/web/Student/Assig...

A: Solution:From the given information, sample size (n) is 16, sample mean (x̄) is 26, sample standard ...

Q: Please answer number four.

A: Given dataStandard deviation = 2.1Confidence interval = 0.99Significance level(α) = 1- 0.99 = 0.01 n...

Q: 31. Below you are given the values obtained from a random sample of 4 observations taken from an inf...

A: Hey, since there are multiple questions posted, we will answer first three questions. If you want an...

Q: Question Help Use the data shown in the table that shows the number of bacteria present after a cert...

A: Logarithm of the y values is obtained in the following table: