ZuoTi.Pro
Question

ne expected mean of a normal population is 100, and its standard deviation is 12. Asample of 36 measurements gives a sample mean of 96, using the α,01 tevel of significance a test is to be made to decide between population mean is 100 or population mean is different than 100. a. State null Ho, and alternative H, hypotheses. b. What conclusion can be drawn at the given level of significance a 017 c. What conclusion can be drawn if a ,05? What is the p-value of the test? 2p e. Give the definition of type I and II errors. How can we control them? 2p .017 2p f, what is probability oftype 11 error when, if mean μ really is 97 and α significance/a .05/test has a 80% probability ofrejectionp-o2/ if mean, u, really is 97? g. How many measurements need be made so that on .05 level of 2p

I need help with questions a through g. could we use t alpha instead of z? since we are talking about a sample mean ? please show z & t, is it indistinct to use either or ?

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

Sing the a..ol leve l of signi fitunre a test is +6 be made to decide between Population meun is oo or populaton meun isHare we ailed Ao >eject 4he nuv hypo hesis hem True meun 97 Stindlurd errer of Sumple meun 12

0 0
Add a comment
Know the answer?
Add Answer to:
I need help with questions a through g. could we use t alpha instead of z?...
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

  • 1. Regarding a two-tailed z-test with an alpha of 0.05, we would need a Zobt with...

    1. Regarding a two-tailed z-test with an alpha of 0.05, we would need a Zobt with an absolute value less than 1.96 in order to reject the null hypothesis. True or False? 2. What happens to the probability of committing a Type I error if the level of significance is changed from α = 0.05 to α = 0.01? A. It increases B. It decreases C. It stays the same D. Cannot determine 3. Given a Zobt of -1.99 ,...

  • If we know the population standard deviation and we use the t-test instead of the Z-test,...

    If we know the population standard deviation and we use the t-test instead of the Z-test, a) We will increase the probability of type II error. b) We will increase the probability of type I error. c) We will have the same conclusion d) None of the above The chi-square goodness-of-fit test can be used to test for: a) significance of sample statistics b) difference between population means c) normality d) probability

  • N = 28 Mean =  143.00 StDev =  21.00 SE Mean =   3.97 95% Upper Bound = 149.76 T...

    N = 28 Mean =  143.00 StDev =  21.00 SE Mean =   3.97 95% Upper Bound = 149.76 T = -1.76 P = 0.045 What conclusion could be drawn at the level of significance α = .05? a. Accept the null hypothesis because the P-value is less than the level of significance. b. Fail to reject the null hypothesis because the P-value is less than the level of significance. c. Reject the null hypothesis because the P-value is less than the level of...

  • I need help with questions A-1 and B-1. Thanks Consider the following hypotheses: HO: u =...

    I need help with questions A-1 and B-1. Thanks Consider the following hypotheses: HO: u = 120 HA: U 120 The population is normally distributed with a population standard deviation of 46. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic with x = 132 and n = 50. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) %...

  • 3. Suppose we want to test the hypothesis that a given population distribution is exponential with...

    3. Suppose we want to test the hypothesis that a given population distribution is exponential with mean 100, that is, F(x) = 1-e-x/100. Ifthe values from a sample of size 10 from this distribution are 112, 145, 66, 124, 155, 81, 94, 116, 72, 140 what conclusion can be drawn? Use 5 percent level of significance. (4pt)

  • 1. Suppose that you are testing the following hypotheses: ?0: ? = 10 and ?1: ?...

    1. Suppose that you are testing the following hypotheses: ?0: ? = 10 and ?1: ? > 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a.) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10 b.) 9 ≤ ? ≤ 13 c.) No statement can be made d.) The lower bound of a 95% one-sided confidence interval on...

  • Given a normally distributed population with known standard deviation of o = 4, and suppose we...

    Given a normally distributed population with known standard deviation of o = 4, and suppose we would like to test Hair = 14 against H.:p> 14 and significance level a = .05 a) If the null hypothesis is true, what is the probability that we would reject it in favor of the alternative hypothesis? b) Taking a random sample of n= 10 from the population and find that the sample mean is a 16.5. Give the observed value z of...

  • for the type of test statistic, is it z, t, chi square or F. please help...

    for the type of test statistic, is it z, t, chi square or F. please help with this entire question Tee Roaring 105.02 A laboratory claims that the mean sodium level, H. of a healthy adult is 140 mq per liter of blood. To test this claim, a random sample of 9 adult patients is evaluated. The mean sodium level for the sample is 144 mq per liter of blood. It is known that the population standard deviation of adult...

  • 3. Do you see any striking difference between problem 1 and 2? At a certain university,...

    3. Do you see any striking difference between problem 1 and 2? At a certain university, the mean income of parents of the entering class is reported to by $91,600. The president of another university feels that the parents’ income for her entering class is more than $91,600. She surveys 100 randomly selected families and finds the mean income to be $96,321. Given σ = $9555. With α = 0.05, is she correct? State the null and alternative hypotheses which...

  • Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table)

    Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table) H0: μ1 − μ2 ≥ 0HA: μ1 − μ2 < 0 x¯1x¯1= 249x−2x−2= 262s1 = 35s2 = 23n1 = 10n2 = 10a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)  a-2. Find the p-value. multiple choice 1p-value < 0.010.01 ≤ p-value...

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
ADVERTISEMENT