Question 1 (a) In a metal fabrication process, metal rods are produced that have an average...
Question 1
(a) In a metal fabrication process, metal rods are produced that
have an average length of
20.5 feet with a standard deviation of 2.3 feet. A quality control
specialist collects a random
sample of 30 rods and measures their lengths.
(i) Describe the sampling distribution for the sample mean by
naming the model and telling its
mean and standard deviation. [3 marks]
(ii) Calculate the probability that the sample mean length of metal
rods is less than 19.5 feet.
[2 marks]
(b) 47 packages are randomly selected from packages received by a
parcel service. The sample
has a mean weight of 25.6 pounds and a standard deviation of 2.8
pounds. What is the 95 percent
confidence interval for the true mean weight, μ, of all packages
received by the parcel service?
Interpret your answer. [5 marks]
Homework Answers
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Question 1
(a) In a metal fabrication process, metal rods are produced that
have an average...
Use th e confidence level and sample data to find a confidence interval for estimating the...
Use th e confidence level and sample data to find a confidence interval for estimating the population 15) 42 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 26.7 pounds and a standard deviation of 2.9 pounds. What is the 95 percent confidence interval for the true mean weight, μ, of all packages received by the parcel service? 25.8 < μ < 27.6 b, 26.0< μ< 27.4 c. 25.7< μ< 27.7...
Question 12 8 pts A study of 80 mice showed that their average weight was 6.8...
Question 12 8 pts A study of 80 mice showed that their average weight was 6.8 ounces. The standard deviation of the population is 0.9 ounces. Which of the following is the 99% confidence interval for the mean weight per mouse? (5.4408, 8.7502) (6.0408,7.9502) (6.5408, 7.0592) (5.9408,8.1502) Question 13 8 pts 57 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 13,5 pounds; the population standard deviation for all packages is...
14. We want to determine the mean length of metal rods produced by factory by sampling...
14. We want to determine the mean length of metal rods produced by factory by sampling a random selection of metal rods. Previous records indicate the average length of the metal rods is 3.35 meters, with a standard deviation 0.15 meters. The factory is trying out a new manufacturing method and wants to determine whether this new method affects the mean length of the metal rods. a. State the null and alternative hypotheses. b. How many metal rods do we need...
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5.4.1 Question Help A population has a mean = 141 and a standard deviation o =...
5.4.1 Question Help A population has a mean = 141 and a standard deviation o = 28. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 40. The mean is :-), and the standard deviation is 0;=0 (Round to three decimal places as needed.) 5.4.2 Question Help A population has a meanu - 74 and a standard deviation = 8. Find the mean and standard deviation of a sampling distribution of...
1. Newborn weight. A study takes a SRS from a population of full-term infants. The standard...
1. Newborn weight. A study takes a SRS from a population of
full-term infants. The standard deviation of birth weights in this
population is 2 pounds. Calculate 95% confidence intervals for μ
for samples in which:
a) n = 81 and = 7.0 pounds
b) n = 9 and = 7.0 pounds
c) Which sample provides the most precise estimate of the mean
birth weight?
d) Interpret the CI you computed in part a).
2. P-value and confidence interval. A...
Question 202.5 pts If we consider the simple random sampling process as an experiment, the sample...
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IB math studies 1. Ten students were asked for their average grade at the end of their last year...
IB math studies
1. Ten students were asked for their average grade at the end of their last year of high school and their average grade at the end of their last year at university. The results were put into a table as follows: Student High School grade, University grade, y 90 3.2 2.6 75 80 3.0 70 95 3.8 85 90 3.8 2.8 70 95 85 3.0 3.5 10 Total 835 30.4 (a) Given that s, 8.96, sy-0.610 and...
Use th e confidence level and sample data to find a confidence interval for estimating the population 15) 42 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 26.7 pounds and a standard deviation of 2.9 pounds. What is the 95 percent confidence interval for the true mean weight, μ, of all packages received by the parcel service? 25.8 < μ < 27.6 b, 26.0< μ< 27.4 c. 25.7< μ< 27.7...
Question 12 8 pts A study of 80 mice showed that their average weight was 6.8 ounces. The standard deviation of the population is 0.9 ounces. Which of the following is the 99% confidence interval for the mean weight per mouse? (5.4408, 8.7502) (6.0408,7.9502) (6.5408, 7.0592) (5.9408,8.1502) Question 13 8 pts 57 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 13,5 pounds; the population standard deviation for all packages is...
5.4.1 Question Help A population has a mean = 141 and a standard deviation o = 28. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 40. The mean is :-), and the standard deviation is 0;=0 (Round to three decimal places as needed.) 5.4.2 Question Help A population has a meanu - 74 and a standard deviation = 8. Find the mean and standard deviation of a sampling distribution of...
1. Newborn weight. A study takes a SRS from a population of
full-term infants. The standard deviation of birth weights in this
population is 2 pounds. Calculate 95% confidence intervals for μ
for samples in which:
a) n = 81 and = 7.0 pounds
b) n = 9 and = 7.0 pounds
c) Which sample provides the most precise estimate of the mean
birth weight?
d) Interpret the CI you computed in part a).
2. P-value and confidence interval. A...
IB math studies
1. Ten students were asked for their average grade at the end of their last year of high school and their average grade at the end of their last year at university. The results were put into a table as follows: Student High School grade, University grade, y 90 3.2 2.6 75 80 3.0 70 95 3.8 85 90 3.8 2.8 70 95 85 3.0 3.5 10 Total 835 30.4 (a) Given that s, 8.96, sy-0.610 and...
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