ZuoTi.Pro
Question

We are designing an experiment to test the following set of hypotheses about a population mean:...

We are designing an experiment to test the following set of hypotheses about a population mean: H0:μ≥40 versus H1:μ<40. If the true population mean was 38, what sample size would we need in order to achieve a power of 0.8, with α=2.5%? Assume a standard deviation of 8 .

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

0 0
Add a comment
Know the answer?
Add Answer to:
We are designing an experiment to test the following set of hypotheses about a population mean:...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 1b)Does the new treatment increase the mean survival period? Choose the appropriate hypotheses to test the...

    1b)Does the new treatment increase the mean survival period? Choose the appropriate hypotheses to test the claim. Group of answer choices a)H0 : \mu μ \ge ≥ 4.2 versus H\alpha α : \mu μ < 4.2 b) H0 : \mu μ \le ≤ 4.5 versus H\alpha α : \mu μ > 4.5 c)H0 : \mu μ \le ≤ 4.2 versus H\alpha α : \mu μ > 4.2 d)H0 : \mu μ = 4.2 versus H\alpha α : \mu μ \ne...

  • A sample of size 36 is taken from a population with unknown mean and standard deviation...

    A sample of size 36 is taken from a population with unknown mean and standard deviation 4.5. In a test of H0: μ = 5 vs. Ha: μ < 5, if the sample mean was 4, which of the following is true? (i) We would reject the null hypothesis at α = 0.01. (ii) We would reject the null hypothesis at α = 0.05. (iii) We would reject the null hypothesis at α = 0.10.

  • An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of...

    An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W. For this problem, the...

  • We are given that n=15, the sample mean Ῡ=2.5, the sample standard deviation s=1.5 and random...

    We are given that n=15, the sample mean Ῡ=2.5, the sample standard deviation s=1.5 and random variable Y distributed Normal with mean µ and variance σ2, where both µ and σ2 are unknown and we are being concentrated on testing the following set of hypothesis about the mean parameter of the population of interest. We are to test: H0 : µ ≥ 3.0 versus H1 : µ < 3.0. Compute the following: a) P- value of the test b)   ...

  • The null and alternative hypotheses of a t test for the mean are given as follows:...

    The null and alternative hypotheses of a t test for the mean are given as follows: H0: μ ≥ $344 and H1: μ < $344. Other things held the same, which of the following will result in an increase in the p-value? [I] Increase in the sample size [II] Decrease in the sample size [III] Increase in the sample standard deviation [IV] Increase in the level of significance. a). I and III b). I and III c). II and III...

  • 1. Given a normal population which has a mean of 140 and a standard deviation of...

    1. Given a normal population which has a mean of 140 and a standard deviation of 21, find the probability that a random sample of 100 has a mean between 138 and 145. 2. If all possible samples of size n are drawn from an infinite population with standard deviation 8, then the standard error of the sample mean equals 1.0 if the sample size is 64. a. true b. false 3. You have completed an hypothesis test and determine...

  • The weight (in pounds) for a population of school-aged children is normally distributed with a mean...

    The weight (in pounds) for a population of school-aged children is normally distributed with a mean equal to 138 ± 24 pounds (μ ± σ). Suppose we select a sample of 100 children (n = 100) to test whether children in this population are gaining weight at a 0.05 level of significance. Part (a) What are the null and alternative hypotheses? H0: μ = 138 H1: μ ≠ 138 H0: μ ≤ 138 H1: μ > 138 H0: μ ≤...

  • I would like to test the null hypothesis that the population mean is 50 versus the...

    I would like to test the null hypothesis that the population mean is 50 versus the alternative that it is not 50. My sample size is 6 and the sample mean is 38 with sample standard deviation of 16. At α = 0.05, I should:

  • You wish to test the following hypotheses at a significance level of α=0.05α=0.05.       H0:μ=62.1       HA:μ<62.1 You...

    You wish to test the following hypotheses at a significance level of α=0.05α=0.05.       H0:μ=62.1       HA:μ<62.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=90 with mean ¯x=60.7 and a standard deviation of s=7.6 What is the test statistic for this sample? (Report answer accurate to two decimal places.) t= What is the degree of freedom? df=

  • A sample of 38 observations is selected from a normal population. The sample mean is 47,...

    A sample of 38 observations is selected from a normal population. The sample mean is 47, and the population standard deviation is 7. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ = 48; H1: μ ≠ 48      (20 pts) Is this a one- or two-tailed test What is the decision rule? What is the value of the test statistic? What is your decision regarding H0?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT