Hypothesis testing of means

Assignment Help Basic Statistics
Reference no: EM13110590

The Non-Profit Times conducted a random sample of 126 U.S. non-profit companies at the beginning of 2005. The results reported that the average salary of an executive director of a nonprofit was $92,411 per year with a sample standard deviation of $25,326. A research team from a competing newspaper, which was skeptical of these results, conducted a survey of its own with the same size sample of companies and obtained a mean salary of $87,566 for executive directors (with approx. the same standard deviation as the non-profit times sample).

1) Set up the appropriate null and alternative hypothesis for testing whether the original sample overestimated the average executive director annual salary.

2) Now test the competing newspaper's view that the original sample overestimated the average executive director annual salary. Use an estimation (total) error of 5 percent.

Reference no: EM13110590

Questions Cloud

Propose a rationale by which the observation : propose a rationale by which the observation of a person's brain waves might be used to help that person lower his or her blood pressure.
Write different kind of reliability and validity : Write down the difference between reliability and validity? Write down the different kind of reliability and validity. What kind of reliability and validity would you seek in assessing employee performance?
Which of the following is likely to be true : Which of the following is likely to be TRUE in the event the gene encoding the sarcoplasmic reticulum membrane Ca 2+ ATPase has a missense mutation such that the amino acid that is phosporylated on the cytosolic site is now an alanine?
Express the types of foreign judgments : Express the types of foreign judgments that will and will not be enforced in the United States. Consider the reasons for these differences.
Hypothesis testing of means : Set up the appropriate null and alternative hypothesis for testing whether the original sample overestimated the average executive director annual salary.
Compute sample variance and sample standard deviation : Compute sample mean. Assume that desirable value for this solution has been specified to be 65.0 grams per liter. Compute sample variance and sample standard deviation.
Was cisco smart or lucky with its erp implementation : Illustrate what did they do wrong? Explain how did they manage unanticipated problems? Was CISCO smart or lucky with its ERP implementation?
What types of information technology would increase product : Then review the BUSN105 scenario and discuss the technology decisions that might be appropriate. Specifically: Illustrate what types of information technology would increase production?
Test of hypothesis-testing gas mileage claims : Chrysler Corporation agrees to allow you to randomly select 40 of its new Dodge Caravans to test the highway mileage. Chrysler claims that the caravans get 28mpg on the highway.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Two sample hypothesis testing using normal distribution

Test the hypothesis that the annual incomes of corporate trainers in areas of more than 500,000 are significantly more than those in areas of less than 100,000.

  Probability addition rule

A recent election return indicated that 55% voted for a proposal, 40% voted against it, and 5% abstained. What is the probability that a voter either abstained or voted against the proposal?

  Intersection accidents-null-alternative hypotheses

The local municipality claims that since the percentage of intersections that had an accident last year decreased from the prior year, the city is now safer. What are the hypotheses for this situation? Is the city really safer?

  Determine maximum and minimum sizes of homes contractor

If average size in square feet of homes built is 1810, determine maximum and minimum sizes of homes contractor must build. Suppose that standard deviations are 92 square feet.

  Probability-exponential distribution

An infestation of a certain species of caterpillar called the spruce budworm can cause extensive damage to the timberlands of the northern United States. It is known that an outbreak of this type of infestation occurs, on the average, every 30 yea..

  Chebychev theorem and empirical rule

If we are dealing with non-normal data we use Chebychev's Theorem. While not as precise, it does provide some level of utility. If we use Chebychev

  Important information about t-distribution

We can compare two sample means to determine if the samples were obtained from normal populations with the same mean using the "t" distribution.

  Advantage of a randomized experiment

What is the advantage of a randomized experiment in which the investigators randomly assign treatment conditions to subject over an observational study in which the subject self-select the treatment groups?

  How many would have a tensile strength

if 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35lb tensile strength? How many would have a tensile strength in excess of 48lb?

  Computing probability using normal probability distribution

Make use of normal probability distribution features of EXCEL to help determine the probability.

  Department of an automotive dealership

The auto parts department of an automotive dealership sends out an average of 8 special orders daily. The number of special orders is assumed to follow a Poisson distribution.

  Select the right sample size for a simple random sample

A random variable has a standard deviation of 16, and an unknown mean. Find the lowest size of a simple random sample so that the sample mean estimates the population mean with a standard error no larger than 0.25.

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