1. Questions

statistics

The researcher wanted to test the hypothesis that Ho: μ=3, knowing the population, which was normal, had a variance of 1.00.

--
How powerful would this test be against the alternative hypothesis that
Ha: μ=4, given that n=15, α = .05

  1. 👍
  2. 👎
  3. 👁
Lezlie

  1. The probability of making a Type II error is equal to beta. A Type II error is failure to reject the null when it is false. The power of the test is 1-beta and is the correct decision of rejecting the null when it is false. The alpha level directly affects the power of a test. The higher the level, the more powerful the test. Sample size also affects power. I'm not sure if your question is asking to calculate the actual power of the test or just determine if the test itself is powerful. If I'm interpreting the question correctly, then the test has power at alpha .05.

    I hope this will be some help to you.

    1. 👍
    2. 👎
    MathGuru

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics

    A researcher hypothesizes that individuals who listen to classical music will score differently from the general population on a test of spatial ability. On a standardized test of spatial ability, (u = 58). A random sample of 14

  2. Statistics

    Imagine you're a researcher and you need to perform a one-sided test of an alternative hypothesis. You decide to conduct a significance test at the .05 level. Which of the following ranges of z-scores would make the test statistic

  3. stast

    suppose the alternative hypothesis in a hypothesis test is "the population mean is less than 60" if the sample size is 50 and alpha =.05, the critical value of the z is?

  4. statistics

    Given a sample size of 38, with sample mean 660.3 and sample standard deviation 95.9 we are to perform the following hypothesis test. Null Hypothesis H0: ƒÊ = 700 Alternative Hypothesis H0: ƒÊ ‚ 700 At significance level

  1. statistics

    A researcher is testing the hypothesis that consuming a sports drink during exercise improves endurance. A sample of n=50 male college students is obtained and each student is given a series of three endurance tasks and asked to

  2. Statistics

    A researcher conducts a test on the effectiveness of a cholesterol treatment on 114 total subjects. Assuming the tails of distributions are normal distribution, is there evidence that the treatment is effective? What is the Null

  3. Statistics

    testing for the differences between means of 2 independent populations where the variances in each population r unknown, u must first perform the F-test for the difference between 2 variances. Which of the following is correct?

  4. statistics

    a manufacturer of detergent claims that the contents of the boxes in the market weigh on average at least 16 oz.. the distribution of weights is known to be normal with a standard deviation of 0.4 oz. to test the claim of the

  1. statistics

    A researcher wants to carry out a hypothesis test involving the mean for a sample of n = 20. While the true value of the population standard deviation is unknown, the researcher is reasonably sure that the population is normally

  2. Psychology

    Hypothesis Testing A researcher asks whether attending a private high school leads to higher or lower performance on a test of social skills when compared to students attending public schools. A sample of 100 students from a

  3. math

    A researcher is performing a hypothesis test. The null hypothesis is that μ=10 and the alternative hypothesis is that μ

  4. statistics

    1.test wheter these samples represent populations that are different from the general population- sample of 10 with a mean of 44 and sample of 1 with a mean of 48. 2. The general population of individuals has a mean of 40 , a

You can view more similar questions or ask a new question.