Describe the Confidence Interval 1. In two to three complete sentences, explain what a confidence interval means (in general), as if you were talking to someone who has not taken statistics. 2. In one to two complete sentences, explain what this confidence interval means for this particular study.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Describe the Confidence Interval
1. In two to three complete sentences, explain what a confidence interval means (in general), as if you
were talking to someone who has not taken statistics.
2. In one to two complete sentences, explain what this confidence interval means for this particular study.
Use the Data to Construct Confidence Intervals
1) Using the given information, construct a confidence interval for each confidence level given.
Confidence level
EBM/Error Bound
Confidence Interval
50%
80%
95%
99%
Table8.6
2) What happens to the EBM as the confidence level increases?
Does the width of the confidence interval increase or decrease?
Explain why this happens.
Transcribed Image Text:Describe the Confidence Interval 1. In two to three complete sentences, explain what a confidence interval means (in general), as if you were talking to someone who has not taken statistics. 2. In one to two complete sentences, explain what this confidence interval means for this particular study. Use the Data to Construct Confidence Intervals 1) Using the given information, construct a confidence interval for each confidence level given. Confidence level EBM/Error Bound Confidence Interval 50% 80% 95% 99% Table8.6 2) What happens to the EBM as the confidence level increases? Does the width of the confidence interval increase or decrease? Explain why this happens.
3STATS LAB 8.1: Confidence Interval (Home Costs)
1. Save the File with your Name in it, i.e. TEysterW11 Lab.docx
2. Make sure it is a Word Doc or PDF file to ensure readability.
3. Answer all parts in complete sentences and show all work or explain how you got the values.
Find the 90% Confidence Interval (can be one of the others from the final section)
1. Calculate the confidence interval and the error bound.
Confidence Interval:
Student Learning Outcomes
The student will calculate the 90% confidence interval for the mean cost of a home in the area in which
this school is located.
Error Bound:
The student will interpret confidence intervals.
The student will determine the effects of changing conditions on the confidence interval.
2. How much area is in both tails (combined)? (remember what the area is!) a =
3. How much area is in each tail? a/2 =
Collect the Data: Check https://www.realtor.com/ for the sale prices of homes in your zip code. Record the sale
prices for 35 randomly selected homes recently listed in the county.
4. Fill in the blanks on the graph with the area in each section. Then, fill in the number line with the upper
and lower limits of the confidence interval and the sample mean.
1. Complete the table:
374,900
270,000
252,500
26500
284,900
C.L. =
Type answers from chart
399,00
33,900
335,000
309,900
595,000
CL =
449,900
280,00
389,900
420,000
485,000
a/2 =
lower limit =
338,800
949,900
317,400
415,00
334,00
sample mean =
795,00
584,072
2,740,00
414,999
342,900
upper limit =
408,900
367,400
750,000
314,600
344,000
1.650.000
326.900
375.600
370.000
485.900
Table8.5
Figure 8.6
Describe the Data
5. Some students think that a 90% confidence interval contains 90% of the data.
1. Compute the following:
Use the list of data on the first page and count how many of the data values lie within the
confidence interval.
a.
mean = 380116
b. standard deviation =_295161
n= 35
What percent is this?
c.
2. In words, define the random variable X
Is this percent close to 90%?
Explain why this percent should or should not be close to 90%.
3. State the estimated distribution to use. Use both words and symbols.
Transcribed Image Text:3STATS LAB 8.1: Confidence Interval (Home Costs) 1. Save the File with your Name in it, i.e. TEysterW11 Lab.docx 2. Make sure it is a Word Doc or PDF file to ensure readability. 3. Answer all parts in complete sentences and show all work or explain how you got the values. Find the 90% Confidence Interval (can be one of the others from the final section) 1. Calculate the confidence interval and the error bound. Confidence Interval: Student Learning Outcomes The student will calculate the 90% confidence interval for the mean cost of a home in the area in which this school is located. Error Bound: The student will interpret confidence intervals. The student will determine the effects of changing conditions on the confidence interval. 2. How much area is in both tails (combined)? (remember what the area is!) a = 3. How much area is in each tail? a/2 = Collect the Data: Check https://www.realtor.com/ for the sale prices of homes in your zip code. Record the sale prices for 35 randomly selected homes recently listed in the county. 4. Fill in the blanks on the graph with the area in each section. Then, fill in the number line with the upper and lower limits of the confidence interval and the sample mean. 1. Complete the table: 374,900 270,000 252,500 26500 284,900 C.L. = Type answers from chart 399,00 33,900 335,000 309,900 595,000 CL = 449,900 280,00 389,900 420,000 485,000 a/2 = lower limit = 338,800 949,900 317,400 415,00 334,00 sample mean = 795,00 584,072 2,740,00 414,999 342,900 upper limit = 408,900 367,400 750,000 314,600 344,000 1.650.000 326.900 375.600 370.000 485.900 Table8.5 Figure 8.6 Describe the Data 5. Some students think that a 90% confidence interval contains 90% of the data. 1. Compute the following: Use the list of data on the first page and count how many of the data values lie within the confidence interval. a. mean = 380116 b. standard deviation =_295161 n= 35 What percent is this? c. 2. In words, define the random variable X Is this percent close to 90%? Explain why this percent should or should not be close to 90%. 3. State the estimated distribution to use. Use both words and symbols.
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