You are opening your own wedding planning business and are conducting some market research. According to The Knot Real Weddings Study, the average cost of a wedding in the U.S. is $35,000. You are skeptical about whether these numbers apply to the Piedmont Triad area—your target market and so you decide to conduct your own survey. After randomly sampling 40 recently married couples, you find an average cost of $32,000 with a standard deviation of $10,000. 1. Find the 90% confidence interval for the mean wedding cost in the Piedmont Triad. a. What is the point estimate of the mean wedding cost for the Piedmont Triad? 32,000 b. Find the standard error of the mean. 1,581.1388 c. Find the critical value. (You'll need to decide whether to use a z-score or a t-score.) 2.0227 d. Put it together to find the confidence interval.
You are opening your own wedding planning business and are conducting some market research. According to The Knot Real Weddings Study, the average cost of a wedding in the U.S. is $35,000. You are skeptical about whether these numbers apply to the Piedmont Triad area—your target market and so you decide to conduct your own survey. After randomly sampling 40 recently married couples, you find an average cost of $32,000 with a standard deviation of $10,000. 1. Find the 90% confidence interval for the mean wedding cost in the Piedmont Triad. a. What is the point estimate of the mean wedding cost for the Piedmont Triad? 32,000 b. Find the standard error of the mean. 1,581.1388 c. Find the critical value. (You'll need to decide whether to use a z-score or a t-score.) 2.0227 d. Put it together to find the confidence interval.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
Related questions
Question
I need the answers to 1D, 2 and 3.

Transcribed Image Text:3. Interpret the 90% confidence interval for the mean wedding cost in the Piedmont Triad.
Does the interval include the average for the U.S.? Would you conclude that the cost of
weddings in the Piedmont Triad is different from the rest of the U.S.?

Transcribed Image Text:You are opening your own wedding planning business and are conducting some market
research. According to The Knot Real Weddings Study, the average cost of a wedding in the U.S.
is $35,000.
You are skeptical about whether these numbers apply to the Piedmont Triad area—your target
market and so you decide to conduct your own survey. After randomly sampling 40 recently
married couples, you find an average cost of $32,000 with a standard deviation of $10,000.
1. Find the 90% confidence interval for the mean wedding cost in the Piedmont Triad.
a. What is the point estimate of the mean wedding cost for the Piedmont Triad?
32,000
b. Find the standard error of the mean.
1,581.1388
c. Find the critical value. (You'll need to decide whether to use a z-score or a t-score.)
2.0227
d. Put it together to find the confidence interval.
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Follow-up Questions
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Follow-up Question

Transcribed Image Text:4. Find the 95% confidence interval for the mean wedding cost for the Piedmont Triad. How
does it compare to the 90% confidence interval (narrower or wider)? Does your conclusion
about the Piedmont Triad being different change?
5. Suppose you wanted to keep the confidence level at 90%, but you wanted to decrease the
width of the interval. How could you do this?
Solution
Follow-up Question

Transcribed Image Text:4. Find the 95% confidence interval for the mean wedding cost for the Piedmont Triad. How
does it compare to the 90% confidence interval (narrower or wider)? Does your conclusion
about the Piedmont Triad being different change?
5. Suppose you wanted to keep the confidence level at 90%, but you wanted to decrease the
width of the interval. How could you do this?
Solution
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