Purchase Solution

Calculating the mean and standard error in the given cases

Not what you're looking for?

Ask Custom Question

1. Find the mean of the sampling distribution of the sample size n = 36 if the population mean is 4 and the standard deviation is 3.
Choose one answer.
A. 4
B. 2
C. 1

2. Find the standard error of the sampling distribution of the sample size n = 36 if the population's mean is 4 and the standard deviation is 3.
Choose one answer.
A. 3
B. 1
C. 0.5

Question 3
Marks: 1 ACE Temp Service Company has found that the mean time required for a job applicant to take an aptitude test is 24.5 minutes with a standard deviation of 4.5 minutes. What is the mean of the sampling distribution of sample size 81?
Choose one answer.
A. 24.5
B. 12.25
C. 22

Question 4
ACE Temp Service Company has found that the mean time required for a job applicant to take an aptitude test is 24.5 minutes with a standard deviation of 4.5 minutes. What is the standard error of the sampling distribution of sample size 81?
Choose one answer.
A. 4.5
B. 9
C. 0.5

Question 5
A random sample of 81 files was randomly selected. What is the probability that the mean time applicants need for taking the test is greater than 25 minutes?
Choose one answer.
A. 0.3413
B. 0.1587
C. 0.4722

Question 6
Of the 2500 middle managers in a large company, 60% of them hold M.B.A. degrees. You select a random sample of 81 of them. What is the probability that the proportion in the sample with M.B.A. degrees is between 59.5% and 60.5%?
Choose one answer.
A. 0.0718
B. 0.0398
C. 0.1538

Purchase this Solution
Solution Summary

Solutions to given problems explain the methodology to calculate the mean and standard error of sampling distribution in the given cases. Solutions are derived by using standard formulas.

Solution Preview

1. Mean of the sampling distribution is the same as the population mean. So, the correct answer is A i.e. 4

2. Population standard deviation=3
Sample size=36
Standard error of sampling distribution=Population standard deviation/square root of sample size
=3/36^0.5
=0.5
Correct option is C i.e. ...

Solution provided by:
Lokesh Jain, MSc
Education
  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
Recent Feedback
  • "Thank you"
  • "Really great step by step solution"
  • "I had tried another service before Brain Mass and they pale in comparison. This was perfect."
  • "Thanks Again! This is totally a great service!"
  • "Thank you so much for your help!"
Purchase this Solution
Free BrainMass Quizzes
Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

View More Free Quizzes
Related BrainMass Solutions

  • Statistics of Mean Difference using Specific Example

    540273 The solution gives detailed steps on calculating point esitimate of mean differences, margin of error and confidence intervals under given confidence level if the mean and standard deviation for each of two groups are given.

  • Hypothesis Testing With a 95% Confidence Interval for Mean

    Null hypothesis is rejected at 0.025 So, option correct option is (1)Reject H0 in favor of H1 This solution first explains the steps in calculating sample mean and standard error from the given confidence intervals.

  • Probability of a Type 2 Error

    245585 Calculating the Probability of Type II Error A sample of 200 items will be taken and the population standard deviation is σ; = 10. Use α = .05.

  • Calculate mean, standard deviation, standard error, and rang

    Calculate and report the mean, standard deviation, standard error, and range for this sample. 5.25, 5.95, 10.00, 5.45, 5.30, 6.85, 9.30, 8.20, 6.20, 7.10 The mean is the average. Add all the values and divide by the number of values.

  • Random Sample

    Since we know the population standard deviation is 1 and the sample size equals 100, the standard error of the mean can be computed as: 1/square root of n = 1/10 = 0.1.

  • Test of hypothesis, Confidence Interval

    6.56Can we make a statement about the effectiveness of this drug? 6.57What does a 95% confidence interval mean in words 6.54 What is the standard error of d?

  • Sample Size, Margin of Error, Confidence Level

    %/Z or 5.% / 1.96 or sp < 0.02551 =5%/1.96 But sp=standard error of proportion=square root of (pq/n) or n=(pq)/(sp^2) The maximum value of standard error of proportion for any given value of n is when p=q=0.5

  • Statistics Concepts: Cases and Observations

    129504 Statistics Concepts: Cases and Observations 14. Approximately ______ of the area (cases or observations) under the normal curve is found between 1 standard deviation above and 1 standard deviation below the mean. 15.

  • Maximum error of estimate.

    Could this z-score be used in calculating probabilities using Table 3 in the Appendix B. Why or why not? 2. Given a level of confidence of 99% and a population standard deviation of 7, answer the following: A.

View More Related Solutions