A)  Find the sample size required to have a margin of error 12 months and a 99% confidence level.  Assume that σ = 42 months. (B)  Find the 99% confidence interval for the mean duration of imprisonment, μ, of all East German political prisoners with chronic PTSD if a sample of the size determined in part (a) has a mean of 36.2 months.   Interpret the results.

Q: When the standard deviation used to construct a confidence interval for a population mean increases,…

A: Given data: When the standard deviation used to construct a confidence interval for a population…

Q: A researcher collected sample data for 11 women ages 18 to 24. The sample had a mean serum…

A:

Q: A random sample of 40 students taken from a university showed that their mean GPA is 2.94 and the…

A: Obtain the 99% confidence interval for the population mean GPA of students: Denote the population…

Q: A random sample of 21 Camden County College students had a mean age of 24 years, with a standard…

A:

Q: The Human Resource Department (HRD) of a company developed an aptitude test for screening potential…

A: Solution: Given information: n= 13 Sample size  x=96 Sample meanμ=100 Population means= 5.2 sample…

Q: Assume a researcher wants to compare the mean Alanine Aminotransferase (ALT) levels in two…

A: x¯1=69, s1=19, n1=38x¯2=32, s2=14, n2=37

Q: A quality control manager wants to be sure that the standard deviation of oil containers is below a…

A: Let Xi be the amount of oil in the ith container,i=1,2,...,n.

Q: A scientist wondered if there was a difference in the average daily intake of dairy products between…

A: Reviewing information, X : Daily intake of dairy products of MenY : Daily intake of dairy products…

Q: We are interested in estimating the average amount spent per customer for lunch in a restaurant in…

A: Confidence interval: It is defined as the range which contains the value of a true population…

Q: A sample of only 8 adult rhinos had an average weight of 2,500 pounds. The standard deviation for…

A:

Q: The mean IQ for the entire population in any age group is known to be 100 with a standard deviation…

A: Given: μ0=100n=72x¯ = 103.4s=20.2α = 0.05 Part 1: The null and alternate hypothesis are, H0: μ0 =…

Q: The distribution of study times for first year students follows a Normal distribution with standard…

A: We have given that  Sample size n= 481 Sample mean = 190 Standard deviation = 48

Q: Independent students show that the average length of education of 70 r/s California adults is 12.7…

A: Confidence interval is an interval such that the probability of the unknown parameter to be included…

Q: A biologist has been collecting data on the heights of a particular species of hibiscus. The height…

A: Let , X be the height of the hibiscus  X follows Normal distribution with mean μ = 160 cm and…

Q: A researcher wishes to estimate the average blood alcohol concentration​ (BAC) for drivers involved…

A:

Q: Let us suppose we have data on the absorbency of paper towels that were produced by two different…

A:

Q: A researcher collected sample data for 17 women ages 18 standard deviation of 9.3. Assuming that…

A:

Q: According to the American Medical Association, the average annual of radiologists in the USA are…

A:

Q: Construct a 95% confidence interval containing the population mean of the height of giraffes if a…

A: We want to find the 95% CI for population mean μ

Q: Suppose scores on exams in statistics are normally distributed with an unknown population mean and…

A:

Q: The mean GPA at a university is reported to be 2.69. A sample of 100 students at this university has…

A: The point estimate of population mean is sample mean.

Q: Assume a researcher wants to compare the mean Alanine Aminotransferase (ALT) levels in two…

A: Consider µD is the mean ALT levels for individuals who drink alcohol and the µND is the mean ALT…

Q: A 95​% confidence interval of 18.5 months to 49.1 months has been found for the mean duration of​…

A: The confidence level is 99% or 0.99 Subtract 0.99 from 1 to obtain α. α=1-0.99=0.01 Divide 0.01 by 2…

Q: A reacher has collected the blood samples of 29 individuals and found that the mean hemoglobin…

A: Given:

Q: Let us suppose we have data on the absorbency of paper towels that were produced by two different…

A: For process 1  Sample size n1=10 meanx1=180 Standard deviations1=15 For process 2  Sample size n2=4…

Q: What is the sample size required to construct a 90% confidence interval for the population mean with…

A: Given,E=0.2z-value at 90% confidence is Zc=1.645Let the last two digits of your student ID is…

Q: 4. Overproduction of uric acid in the body can be an indication of cell breakdown. Over a period of…

A: Given information Sample size n = 8 Sample mean x̅ = 5.35 mg/dl Population standard deviation σ =…

Q: Suppose from random sample of 500 teenagers, the mean number of sweaters owned was 12.5 and a…

A:

Q: Researchers from a certain country were interested in how characteristics of the spleen of residents…

A: Males Sample size, n1=93 Sample mean, x¯1=11.2 Sample sd, s1=0.8   Females Sample size, n2=107…

Q: A researcher collected sample data for 10 women ages 18 to 24. The sample had a mean serum…

A: Here, the population standard deviation is not known. Hence, it is appropriate to use…

Q: researcher collected sample data for 16 women ages 18 to 24 . The sample had a mean serum…

A:

Q: The distribution of study times for first year students follows a Normal distribution with standard…

A: Introduction :-  We have to find, 88.58% confidence interval for population mean Margin of error.

Q: A researcher collected sample data for 20 women ages 18 to 24. The sample had a mean serum…

A:

Q: In a study of morphological variation in natural populations of fruit fly, it was reported that the…

A:

Q: 3. Overproduction of uric acid in the body can be an indication of cell breakdown. Over a period of…

A: Given information :Mean(xˉ)=5.35 mg/dlσ=1.86 mg/dln=8c=95%=0.95Step 2:The margin of error calculated…

Q: The number of square feet per house are normally distributed with a population standard deviation of…

A: We have to calculate 80% confidence level margin of error.

Q: Researchers from a certain country were interested in how characteristics of the spleen of residents…

A:

Q: We are interested in estimating the average amount spent per customer for lunch in a restaurant at…

A:

Q: A researcher wishes to estimate the average blood alcohol concentration​ (BAC) for drivers involved…

A:

Q: Then find the lower limit and upper limit of the 90% confidence interval.

A:

Q: company manufactures a certain over-the-counter drug. The company samples 80 pills and finds that…

A: We have given that  Sample size n = 80 Sample mean = 325.5 Standard deviation s=10.3 90%confidence…

Q: The pH of rain, measured at a weather station in Michigan, was observed for 39 consecutive rain…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.