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Chapter 8 Homework: Confidence Intervals for One Sample, Quizzes of Statistics

Kentucky Community and Technical College SystemStatistics

Chapter 8 Homework: Confidence Intervals for One Sample STA 220: Statistics (4224_J101)

Typology: Quizzes

2021/2022

Available from 09/25/2022

ashish-paliwal
ashish-paliwal 🇺🇸

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1. Question 1
1/1
True or False? The sample mean is a point estimate for the population mean.
1. T
True
2. F
False
2. Question 2
1/1
What is the generic format of a confidence interval?
Hide answer choices
1.
(Point estimate - margin of error, Point estimate + margin of error)
2.
(Margin of error - point estimate, Margin of error + point estimate)
3.
(Confidence level - margin of error, Confidence level + margin of error)
4.
(Point estimate - confidence level, Point estimate + confidence level)
3. Question 3
1/1
What is the purpose of a confidence interval?
pf3
pf4
pf5

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Download Chapter 8 Homework: Confidence Intervals for One Sample and more Quizzes Statistics in PDF only on Docsity!

  1. Question 1 1/ True or False? The sample mean is a point estimate for the population mean. 1. T True 2. F False
  2. Question 2 1/ What is the generic format of a confidence interval? Hide answer choices
  3. (Point estimate - margin of error, Point estimate + margin of error)
  4. (Margin of error - point estimate, Margin of error + point estimate)
  5. (Confidence level - margin of error, Confidence level + margin of error)
  6. (Point estimate - confidence level, Point estimate + confidence level)
  7. Question 3 1/ What is the purpose of a confidence interval?

Hide answer choices

To find a range of numbers that we think contains the unknown population parameter

To find a range of numbers that we think contains the sample statistic

To find a range of numbers that we think contains the margin of error

To find a range of numbers that we think contains the confidence level

  1. Question 4 1/ What does "95% confidence" mean for a confidence interval? Hide answer choices
  2. If we took many samples and calculated a 95% confidence interval each time, about 95% of the intervals would contain the statistic.
  3. The confidence interval is within 95% of the population parameter.
  4. If we took many samples and calculated a 95% confidence interval each time, about 95% of the intervals would contain the parameter.
  5. The confidence interval is within 95% of the sample statistic.
  1. Question 8 1/ In a random sample of 500 BCTC students, 120 students are between ages 25 and 34 years old. What is the sample proportion of BCTC students who are between 25 and 34 years old? Enter your answer as a decimal with 2 decimal places. Your Answer: 0.
  2. Question 9 1/ In a random sample of 500 BCTC students, 120 students are between ages 25 and 34 years old. What is the low end of a 90% confidence interval for the proportion of all BCTC students who are between 25 and 34 years old? Enter your answer as a decimal rounded to 4 decimal places. Your Answer: 0.
  3. Question 10 1/ In a random sample of 500 BCTC students, 120 students are between ages 25 and 34 years old. What is the high end of a 90% confidence interval for the proportion of all BCTC students who are between 25 and 34 years old? Enter your answer as a decimal rounded to 4 decimal places. Your Answer: 0.
  4. Question 11 1/ In a random sample of 10 fish from the Kentucky River, the mean mercury content was determined to be 0.287 parts per million (ppm) with a standard deviation of 0.069 ppm.

What is the low end of a 95% confidence interval for the mean mercury content of all fish in the Kentucky River? Round your answer to 4 decimal places. Your Answer: 0.

  1. Question 12 1/ In a random sample of 10 fish from the Kentucky River, the mean mercury content was determined to be 0.287 parts per million (ppm) with a standard deviation of 0.069 ppm. What is the high end of a 95% confidence interval for the mean mercury content of all fish in the Kentucky River? Round your answer to 4 decimal places. Your Answer: 0.
  2. Question 13 1/ In a random sample of 10 fish from the Kentucky River, the mean mercury content was determined to be 0.287 parts per million (ppm) with a standard deviation of 0.069 ppm. What is the margin of error of a 95% confidence interval for the mean mercury content of all fish in the Kentucky River? Round your answer to 4 decimal places. Your Answer: 0.
  3. Question 14 1/ We use the t distribution rather than the normal distribution when calculating a confidence interval for a mean because we are using the sample standard deviation, which we do know, in place of the population standard deviation, which we do not know.
  4. Question 15 1/ Suppose a 99% confidence interval for the proportion of Kentuckians who support a new law is (0.2473, 0.3199). Interpret this confidence interval. Hide answer choices