Purchase Solution

Testing a Hypothesis

Not what you're looking for?

Ask Custom Question

Researchers have hypothesized that the proverbial rose-colored glasses might indeed help lessen depression caused by light deprivation. A random sample of 39 people suffering from light deprivation depression were given a depression inventory exam, and it was found that on the scale their average measure was 27 with a standard deviation of 3.3. Another random sample of 45 people suffering light deprivation depression wore rose-tinted glasses. They were subjected to the same light deprivation conditions as the other sample. On the depression inventory exam their mean scale was 24 with standard deprivation of 3.6. Test the claim that the rose-colored glasses reduce the reading on the depression inventory exam. Use a 5% level of significance.

Purchase this Solution
Solution Summary

The expert examines testing a hypothesis for the proverbial rose-colored glasses.

Solution Preview

Solution. We can conduct a Z-test on the hypotheses below:

Null hypothesis H0: mu1<=mu2
Alternative hypothesis Ha: mu1>mu2

Note: mu2: the average ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency

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

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.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

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.

View More Free Quizzes
Related BrainMass Solutions

  • Comparison of Hypothesis Testing and the Legal System

    Hi there, To understand how hypothesis testing is like the legal system, lets first discuss a few key points about hypothesis testing. Hypothesis testing always involves two hypotheses.

  • Hypothesis Testing

    Hypothesis testing involves double negative logic because you state a null hypothesis; but will never accept it. Either the null hypothesis is rejected or it is not rejected; it is never accepted.

  • Business Research and Hypothesis Testing

    90544 Business Research and Hypothesis Testing 1. What value is business research and hypothesis testing to a company? Start by defining business research and the steps in hypothesis testing.

  • Hypothesis testing

    Why might one choose a lower rather than a higher level of significance in doing a hypothesis test? Please see the attached file. This posting contains two theory questions on Hypothesis testing.

  • General Process of Hypothesis Testing for Stats Students

    501749 General Process of Hypothesis Testing in Statistics What is hypothesis testing? Explain the general process and the steps included in conducting a hypothesis test?

  • Steps in Hypothesis Testing

    459558 Hypothesis Testing: What is the general process that one should follow in conducting a hypothesis test? Explain the notion of hypothesis testing. What is the general process that one should follow in conducting a hypothesis test?

  • Hypothesis vs. Theory

    2) Why is it important to test a hypothesis? Give the rationale. Can we conduct research without hypothesis testing? Can you think of an example in an organization where research was conducted using hypothesis testing?

  • Hypothesis testing: Double negative logic, five step process

    (2) What is the five-step process for hypothesis testing? Is the order important? Why or why not? (1) Explain the double-negative logic of hypothesis testing (e.g.: a scientist fails to reject the null hypothesis).

  • 5 Steps of Hypothesis Testing

    265308 5 Steps of Hypothesis Testing List the five steps of hypothesis testing and explain the procedure and logic of each. I have taken an example hypothesis testing problem to illustrate the five steps of hypothesis testing.

  • Hypothesis testing: Hypothesis by Professor Brainstorm

    This story reflects a common concern about classical hypothesis testing, which often uses 0.05 significance level.

View More Related Solutions