Normal distribution-central limit theorem

Assignment Help Basic Statistics
Reference no: EM1399418

The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions.

a. What is the likelihood the sample mean is at least $25.00?

b. What is the likelihood the sample mean is greater than $22.50 but less than $25.00?

c. Within what limits will 90 percent of the sample means occur?

Reference no: EM1399418

Questions Cloud

Distinguish today''s music with music of troubadors : How was music of Medieval or Renaissance periods shaped by its culture. Write examples of music. Distinguish today's music with music of troubadors.
Which of the terms best charcterizes this patient : Which of the terms best charcterizes this patient's peripeheral edma fluid?
Determine the optimal solution : The Hickory Cabinet and Furniture Company makes chairs and tables. The company has developed the following nonlinear programming model to determine the optimal number of chairs and tables produce each day to maximize profit.
Examine ways external social pressures influences business : Examine ways external social pressures influences business ethics in this situation. If you faced the same dilemma today, illustrate what solution would you recommend? Defend your answers.
Normal distribution-central limit theorem : The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the follo..
Distributions are distributed as normal random variables : Presume that these distributions are distributed as normal random variables with the means as well as standard deviations given previously.
Explain sampling distribution of mean : The amount of time a bank teller spends with each customer has a population mean = 3.1 minutes and population standard deviation = 0.4 minute.
Llustrate what will a consumer need to consider : Scan a copy of the advertisement into your paper or provide a detailed description of the advertisement, including a link to view the advertisement if possible. Remember to cite your sources using the APA format.
Demonstrates a distended abdomen : A 49-year old man complains of 4 weeks of yellow discoloration of his eyes, abdominal pain, and low grade fever. Physical examination demonstrates a distended abdomen.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Difference between a sample mean and the population mean

To estimate the mean of the population from sample information, we need to calculate the standard deviation of the distribution of the sample means around the population mean.

  Probability of selecting marbles

A bowl with 10 marbles: 2 red marbles, 3 green marbles, and 5 blue marbles. We randomly select 4 marbles from the bowl, WITH REPLACEMENT, that is once a marble is selected, its color is noted and the marble is put back in the bowl (notice this doe..

  Statistics-chebyshev rule

According to the Chebyshev rule, at least what percentage of the observation in any data set are contained within a distance of 3 standard deviations around the mean.

  Interpret test statistic

Estimate and interpret the p-value of the calculated test statistic above.

  Approximation by the poisson distribution

An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of 3.3 emails per hour. Assume the arrival of these emails is approximated by the Poisson distribution.

  Hypotheses of studying for final exams

It is believed that students who begin studying for final exams a week before the test score differently than students who wait until the night before. Suppose you want to test specifically that students who study earlier have an average score tha..

  Confidence interval of the mean of a given sample

Which of the following is true about a 95% confidence interval of the mean of a given sample:

  Applications of chi-square test

Chi square compares actual data with expected data. What would the expected data be? For example, if I know the percentage of brown M&Ms in a bag is 40% set by the company

  Proportions of patients reporting pain relief

Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance.

  Null hypothesis or an alternative hypothesis

If not what would be a better testing strategy? Could you form a Null Hypothesis or an Alternative Hypothesis? If yes, what would they be.

  Using of anova instead of t-tests

Describe the circumstances under which you should use ANOVA instead of t tests, and explain why t tests are inappropriate in these circumstances. Find a peer-reviewed article that reflects these circumstances, describe the research conducted (i.e...

  Probability values in case of raw data-binomial-normal

To find the probability values in case of raw data, binomial, normal

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd