Question

H0: µ ≥ 25 vs. Ha:µ < 25; s = 2, n = 20; α =...

H0: µ ≥ 25 vs. Ha:µ < 25; s = 2, n = 20; α = 1%

What will be the critical value for testing this hypothesis?

Select one:

a. t* = 2.539

b. t* = 2.861

c. Z* = 2.33

d. t* = -2.539

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Answer : (option d)

EXPLANTION

since sample size (n) is less than 30 we use t-distribution to obatain critical value

n = 20

critical value

  

   ----------------------------from t table

since alternative hypothesis Ha:µ < 25 is a left tail test therefore critical value is -2.539

Hope this was helpful, please hit the like button

0 0
Know the answer?
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
Similar Questions
1. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is...
1. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is rejected if X >¯ 1.645, given n = 36 and σ = 6. What is the value of α, i.e., maximum probability of Type I error? A. 0.90 B. 0.10 C. 0.05 D. 0.01 2. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is rejected if X >¯ 1.645, given n = 36 and σ = 6. What...
7. Suppose you are testing H0 : µ = 10 vs H1 : µ 6= 10....
7. Suppose you are testing H0 : µ = 10 vs H1 : µ 6= 10. The sample is small (n = 5) and the data come from a normal population. The variance, σ 2 , is unknown. (a) Find the critical value(s) corresponding to α = 0.10. (b) You find that t = −1.78. Based on your critical value, what decision do you make regarding the null hypothesis (i.e. do you Reject H0 or Do Not Reject H0)?
1. In testing a null hypothesis H0 versus an alternative Ha, H0 is ALWAYS rejected if...
1. In testing a null hypothesis H0 versus an alternative Ha, H0 is ALWAYS rejected if A. at least one sample observation falls in the non-rejection region. B. the test statistic value is less than the critical value. C. p-value ≥ α where α is the level of significance. 1 D. p-value < α where α is the level of significance. 2. In testing a null hypothesis H0 : µ = 0 vs H0 : µ > 0, suppose Z...
H0: µ ≥ 205 versus H1:µ < 205, x= 198, σ= 15, n= 20, α= 0.05...
H0: µ ≥ 205 versus H1:µ < 205, x= 198, σ= 15, n= 20, α= 0.05 test statistic___________        p-value___________      Decision (circle one)        Reject the H0       Fail to reject the H0 H0: µ = 26 versus H1: µ<> 26,x= 22, s= 10, n= 30, α= 0.01 test statistic___________        p-value___________      Decision (circle one)        Reject the H0       Fail to reject the H0 H0: µ ≥ 155 versus H1:µ < 155, x= 145, σ= 19, n= 25, α= 0.01 test statistic___________        p-value___________      Decision (circle one)        Reject the H0       Fail to reject the H0
Suppose that we wish to test H0: µ = 20 versus H1: µ ≠ 20, where...
Suppose that we wish to test H0: µ = 20 versus H1: µ ≠ 20, where σ is known to equal 7. Also, suppose that a sample of n = 49 measurements randomly selected from the population has a mean of 18. Calculate the value of the test statistic Z. By comparing Z with a critical value, test H0 versus H1 at α = 0.05. Calculate the p-value for testing H0 versus H1. Use the p-value to test H0 versus...
You want to test H0: µ ≤ 10.00 against H1: π > 10.00 using α =...
You want to test H0: µ ≤ 10.00 against H1: π > 10.00 using α = 0.01, given that a sample of size = 25 found ?̅= 12.9 and s = 6.77. a. What is the estimated standard error of ?̅, assuming that the null hypothesis is correct? b. Should your test statistic be a Z or a T (which, ZSTAT or TSTAT)? c. What is the attained value of the test statistic? d. What is/are the critical values of...
Suppose the following hypotheses: H0: µ = 2 vs Ha: µ ≠ 2, and σ =...
Suppose the following hypotheses: H0: µ = 2 vs Ha: µ ≠ 2, and σ = 20, sample mean = 12, and use alpha = 0.05 a.     If n = 10 what is p-value? b.     If n = 15, what is p-value? c.     If n = 20 what is p-value? d.     Summarize your findings from above. Please show your work and thank you SO much in advance! You are helping a struggling stats student SO much!
H0: µ ≥ 20 versus H1: µ < 20, α = 0.05, sample mean = 19,...
H0: µ ≥ 20 versus H1: µ < 20, α = 0.05, sample mean = 19, σ = 5, n = 25
Suppose X1, · · · , Xn from a normal distribution N(µ, σ2 ) where µ...
Suppose X1, · · · , Xn from a normal distribution N(µ, σ2 ) where µ is unknown but σ is known. Consider the following hypothesis testing problem: H0 : µ = µ0 vs. Ha : µ > µ0 Prove that the decision rule is that we reject H0 if X¯ − µ0 σ/√ n > Z(1 − α), where α is the significant level, and show that this is equivalent to rejecting H0 if µ0 is less than the...
n=90, Y =18.8, S =15.3, α =0.05⇒tn−1,α/2 = t89,.025 =1.987 H0 : µ =21.7 versus HA...
n=90, Y =18.8, S =15.3, α =0.05⇒tn−1,α/2 = t89,.025 =1.987 H0 : µ =21.7 versus HA : µ6=21.7 Rejection Region:|t|> t89,.025 =1.987 t =Y−µ0 S/sqrt(n) =18.8−21.7 15.3/p90 = −2.9 1.6128 =−1.798⇒|t|=1.798 < t89,.025 =1.987 Cannot reject H0 at 5% level. There is not sufficient evidence to support the average number of Type 2 fibers is different from 21.7. what is the p-value?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT