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Statistics Quiz: Confidence Intervals and Sample Size Estimation, Quizzes of Mathematics

This quiz focuses on the fundamental concepts of confidence intervals and sample size estimation in statistics. It presents multiple-choice questions that test understanding of how to calculate confidence intervals for population means and proportions, as well as how to determine the appropriate sample size for a given level of accuracy. The quiz is suitable for students studying introductory statistics or those seeking to reinforce their understanding of these key concepts.

Typology: Quizzes

2023/2024

Available from 12/18/2024

Milestonee
Milestonee 🇺🇸

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WEEK 4 QUIZ
1.
Suppose a random sample of 400 is selected from a
population with a standard deviation of 5. If the sample mean
is 25, the 98% confidence interval to estimate the population
mean is between
.
24.75 and 25.26
24.49 and 25.51
24.76 and
25.25
24.42
and 25.58
24.34 and 25.68
2.
The point estimate of the population mean is
.
the sample size
the sample
proportion
the
sample mean
the sample variance
3.
Suppose a random sample of 50 is drawn from a
population whose standard deviation is unknown. If the
sample mean is 70 and the sample standard deviation is 5,
the 92% confidence interval to estimate the population mean
is between .
69.01 and 70.99
68.74 and 71.26
69.32 and 70.68
69.34 and 70.65
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WEEK 4 QUIZ

  1. Suppose a random sample of 400 is selected from a population with a standard deviation of 5. If the sample mean is 25, the 98% confidence interval to estimate the population mean is between . 24.75 and 25. 24.49 and 25. 24.76 and 25.25 24. and 25. 24.34 and 25.
  2. The point estimate of the population mean is. the sample size the sample proportion the sample mean the sample variance
  3. Suppose a random sample of 50 is drawn from a population whose standard deviation is unknown. If the sample mean is 70 and the sample standard deviation is 5, the 92% confidence interval to estimate the population mean is between. 69.01 and 70. 68.74 and 71. 69.32 and 70. 69.34 and 70.
  • 69.52 and 70.

population standard deviation is 5 hours. The 88% confidence interval for the population mean of training times is

17.25 to 32. 24.22 to 25. 21.00 to 32. 24.42 to 25. 19.15 to 30.

  1. A department store finds that in a random sample of 200 customers, 60% of the sampled customers had browsed its website prior to visiting the store. Based on this data, a 90% confidence interval for the population proportion of customers that browse the store’s website prior to visiting the store will be between. 0.4528 and 0. 0.6588 and 0. 0.5430 and 0. 0.5960 and 6040 0.5978 and 0.
  2. A researcher is interested in estimating the mean weight of a semi tracker truck to determine the potential load capacity. She takes a random sample of 17 trucks and computes a sample mean of 20,000 pounds with sample standard deviation of 1,500. The 90% confidence interval for the population mean rod length is. 19,515 to 20, 18,500 to 21, 19,365 to 20, 19,367 to 20, 19,514 to 20,

answers to 2 decimal places.) 90% confidence interval: 11.77 ≤ μ ≤ 12.

95% confidence interval: 11.69 ≤ μ ≤

99% confidence interval: 11.51 ≤ μ ≤

The point estimate is 12.12.

  1. A large national company is considering negotiating cellular phone rates for its employees. The Human Resource department would like to estimate the proportion of its employee population who own an Apple iPhone. A random sample of size 250 is taken and 40% of the sample own and iPhone. The 95% confidence interval to estimate the population proportion is. 0.39 to 0. 0.37 to 0. 0.35 to 0. 0.40 to 0. 0.34 to 0.
  2. A large trucking company wants to estimate the proportion of its trailer truck population with refrigerated carrier capacity. A random sample of 200 trailer trucks is taken and 30% of the sample have refrigerated carrier capacity. The 90% confidence interval to estimate the population proportion is. 0.53 to 0. 0.27 to 0. 0.24 to 0. 0.25 to 0. 0.33 to 0.
  3. Is the environment a major issue with Americans? To answer that question, a researcher conducts a survey of 1255 randomly selected Americans. Suppose 716 of the sampled people replied that the environment is a major issue with them. Construct a 95% confidence interval to estimate the proportion of Americans who feel that the