a. Construct a 99% confidence interval for the mean particle size of the batch of paint.
b. Construct a 95% confidence interval for the mean particle size of the batch of paint.
c. The manufacturer had previously reported that their mean latex paint particle size was 3800 angstroms. Does the given sample support the manufacturer’s claim?
d. How is the interval length affected by decreasing the confidence level of the interval?
e. Use R to justify the results of the both confidence intervals
(and include the R outputs).
![2. 20 pts] The particle size is an important property of latex paint, which is why it is usually monitored during the product](http://img.homeworklib.com/images/44f13a29-9ab9-4709-ad81-3d36db126aa0.png?x-oss-process=image/resize,w_560)
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A. Construct a 99% confidence interval for the mean particle size of the batch of paint. b. Const...
Confidence Intervals 9. Construct a 95 % confidence interval for the population mean, . In a...
Confidence Intervals 9. Construct a 95 % confidence interval for the population mean, . In a random sample of 32 computers, the mean repair cost was $143 with a sample standard deviation of $35 (Section 6.2) Margin of error, E. <με. Confidence Interval: O Suppose you did some research on repair costs for computers and found that the population standard deviation, a,- $35. Use the normal distribution to construct a 95% confidence interval the population mean, u. Compare the results....
Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the...
Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 48 people, the mean body mass index (BMI) was 26.1 and the standard deviation was 6.06. Which distribution should be used to construct the confidence interval? Choose the correct answer below.
Use the standard nomal distribution or the distribution to construct a 95% confidence interval for the...
Use the standard nomal distribution or the distribution to construct a 95% confidence interval for the population mean. Justily your decisioni neither distribution can be used, explain why. Interpret the results In a random sample of 41 people, the mean body mass index (BMI) was 27.8 and the standard deviation was 6.11 Which distribution should be used to construct the confidence interval? Choose the correct answer below. O A Use a distribution because the sample is random, na 30, and...
A through D please Objective 4: Construct and Interpret a Confidence Interval for a Population Mean...
A through D please
Objective 4: Construct and Interpret a Confidence Interval for a Population Mean 9.2 Estimating a Population Mean 9.2.17 O of 1 Point Question Help A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 114, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about if the sample size, n, is 23. (b) Construct...
Assuming that the population is normally distributed, construct a 99% confidence interval for the population mean...
Assuming that the population is normally distributed, construct a 99% confidence interval for the population mean for each of the samples below. Explain why these two samples produce different confidence intervals even though they have the same mean and range. Sample A: 1 3 3 4 5 6 6 8 Sample B: 1 2 3 4 5 6 7 8 Full data set Construct a 99% confidence interval for the population mean for sample A (Type integers or decimals rounded...
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Two researchers plan to construct a 99% confidence interval for the mean μ of a Normal population with (known) standard deviation s. Researcher A uses a random sample of 50 individuals. Researcher B uses a random sample of 800 individuals. How does the margin of error for Researcher A’s estimate compare to that of Researcher B’s estimate?
In a 95% confidence interval. i 1-0.0s is called the confidence coefficient. A) True lB) False...
In a 95% confidence interval. i 1-0.0s is called the confidence coefficient. A) True lB) False If a 95% confidence interval on the mean has a lower limit of 10 and an upper limit that 95% of the time the true value of the mean is between 10 and 15. ) True B) False For a fixed value of the standard deviation and a fixed sample size, a confidence inte population mean will get longer as the level of confidence...
Use the given degree of confidence and sample data to construct a confidence interval for the...
Use the given degree of confidence and sample data to
construct a confidence interval for the population mean µ.
Assume
that the population has a normal distribution.
please show ur work, thanks
Use the given degree of confidence and sample data to construct a confidence interval for the population mean . Assume that the population has a normal distribution. You need to show work. 5) 5) n = 12, x = 25.3, s = 4.5, 99 percent A) 21.28 <...
Answers only is okay! Construct the indicated confidence interval for the population mean μ using the...
Answers only is okay! Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed. c=0.99, x=13.1, s=3.0, n= 6 Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed. c=0.95, x=14.5, s=0.55, n= 15 Use the given confidence interval to find the margin of error and the sample mean. (12.7,19.9The sample mean is In a random sample of 18 people, the mean...
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(3 points) A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medical study is (1860, 2060). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 16 observations. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size. Use the...
Confidence Intervals 9. Construct a 95 % confidence interval for the population mean, . In a random sample of 32 computers, the mean repair cost was $143 with a sample standard deviation of $35 (Section 6.2) Margin of error, E. <με. Confidence Interval: O Suppose you did some research on repair costs for computers and found that the population standard deviation, a,- $35. Use the normal distribution to construct a 95% confidence interval the population mean, u. Compare the results....
Use the standard nomal distribution or the distribution to construct a 95% confidence interval for the population mean. Justily your decisioni neither distribution can be used, explain why. Interpret the results In a random sample of 41 people, the mean body mass index (BMI) was 27.8 and the standard deviation was 6.11 Which distribution should be used to construct the confidence interval? Choose the correct answer below. O A Use a distribution because the sample is random, na 30, and...
A through D please
Objective 4: Construct and Interpret a Confidence Interval for a Population Mean 9.2 Estimating a Population Mean 9.2.17 O of 1 Point Question Help A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 114, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about if the sample size, n, is 23. (b) Construct...
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In a 95% confidence interval. i 1-0.0s is called the confidence coefficient. A) True lB) False If a 95% confidence interval on the mean has a lower limit of 10 and an upper limit that 95% of the time the true value of the mean is between 10 and 15. ) True B) False For a fixed value of the standard deviation and a fixed sample size, a confidence inte population mean will get longer as the level of confidence...
Use the given degree of confidence and sample data to
construct a confidence interval for the population mean µ.
Assume
that the population has a normal distribution.
please show ur work, thanks
Use the given degree of confidence and sample data to construct a confidence interval for the population mean . Assume that the population has a normal distribution. You need to show work. 5) 5) n = 12, x = 25.3, s = 4.5, 99 percent A) 21.28 <...
(3 points) A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medical study is (1860, 2060). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 16 observations. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size. Use the...
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