Question

In a test of Upper H 0H0​: muμequals=100 against Upper H Subscript aHa​: muμnot equals≠​100, the...

In a test of

Upper H 0H0​:

muμequals=100

against

Upper H Subscript aHa​:

muμnot equals≠​100,

the sample data yielded the test statistic

z equals 2.16z=2.16.

Find the

Upper PP​-value

for the test.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

this is the two tailed test .  

The null and alternative hypothesis is ,

H0 :   = 100

Ha :     100

Test statistic = z=2.16

P(z >2.16 ) = 1 - P(z < 2.16 ) = 1 -0.9846=0.0154

P-value = 2*0.0154=0.0308

Add a comment
Know the answer?
Add Answer to:
In a test of Upper H 0H0​: muμequals=100 against Upper H Subscript aHa​: muμnot equals≠​100, the...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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
  • In a test of Upper H 0​: mu=100 against Upper H Subscript a​: mu not equals​100,...

    In a test of Upper H 0​: mu=100 against Upper H Subscript a​: mu not equals​100, the sample data yielded the test statistic z=2.24. Find the Upper P​-value for the test.

  • A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of...

    A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola is 5555 milligrams. You want to test this claim. During your​ tests, you find that a random sample of thirty​ 12-ounce bottles of cola has a mean caffeine content of 52.952.9 milligrams. Assume the population is normally distributed and the population standard deviation is 7.87.8 milligrams. At alphaαequals=0.050.05​, can you reject the​ company's claim? Complete parts​ (a) through​ (e). ​(a) Identify Upper H...

  • A county is considering rasing the speed limit on a road because they claim that the...

    A county is considering rasing the speed limit on a road because they claim that the mean speed of vehicles is greater than 40 miles per hour. A random sample of 20 vehicles has a mean speed of 42 miles per hour and a standard deviation of 4.3 miles per hour. At α=0.05​, do you have enough evidence to support the​ county's claim? Complete parts​ (a) through​ (d) below.​(a) Write the claim mathematically and identify Upper H 0H0 and Upper...

  • The dean of a university estimates that the mean number of classroom hours per week for​ full-tim...

    The dean of a university estimates that the mean number of classroom hours per week for​ full-time faculty is 11.011.0. As a member of the student​ council, you want to test this claim. A random sample of the number of classroom hours for eight​ full-time faculty for one week is shown in the table below. At alphaαequals=0.100.10​, can you reject the​ dean's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed. 10.810.8 9.49.4 12.712.7 6.16.1 4.94.9...

  • A data set includes data from student evaluations of courses. The summary statistics are nequals=9393​, x...

    A data set includes data from student evaluations of courses. The summary statistics are nequals=9393​, x overbarxequals=3.453.45​, sequals=0.630.63. Use a 0.010.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.503.50. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses? A. Upper H 0H0​: muμnot...

  • An employment information service claims the mean annual pay for​ full-time male workers over age 25...

    An employment information service claims the mean annual pay for​ full-time male workers over age 25 without a high school diploma is ​$22 comma 35022,350. The annual pay for a random sample of 1010 ​full-time male workers over age 25 without a high school diploma is listed. At alphaαequals=0.010.01​, test the claim that the mean salary is ​$22 comma 35022,350. Assume the population is normally distributed. 20 comma 65520,655 21 comma 13421,134 22 comma 35822,358 21 comma 39521,395 22 comma...

  • To test Upper H 0H0​: muμequals=100 versus Upper H 1H1​: muμnot equals≠​100, a simple random sample...

    To test Upper H 0H0​: muμequals=100 versus Upper H 1H1​: muμnot equals≠​100, a simple random sample size of nequals=1717 is obtained from a population that is known to be normally distributed. Answer parts​ (a)-(d). LOADING... Click here to view the​ t-Distribution Area in Right Tail. ​(a) If x overbarxequals=104.4104.4 and sequals=8.78.7​, compute the test statistic. tequals=2.0852.085 ​(Round to three decimal places as​ needed.)​(b) If the researcher decides to test this hypothesis at the alphaαequals=0.01 level of​ significance, determine the critical...

  • A data set lists earthquake depths. The summary statistics are nequals=400​, x overbarxequals=6.82 ​km, sequals=4.43 km....

    A data set lists earthquake depths. The summary statistics are nequals=400​, x overbarxequals=6.82 ​km, sequals=4.43 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 6.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses? A. Upper H 0H0​:...

  • Determine whether to reject or fail to reject Upper H 0H0 at the level of significance...

    Determine whether to reject or fail to reject Upper H 0H0 at the level of significance of​ a) alphaαequals=0.030.03 and​ b) alphaαequals=0.010.01. Upper H 0H0​: muμequals=128128​, Upper H Subscript aHa​: muμnot equals≠128128​, and Pequals=0.01630.0163. ​a) Do you reject or fail to reject Upper H 0H0 at the 0.030.03 level of​ significance? A. Fail to rejectFail to reject   Upper H 0H0 because Pless than<0.030.03. B. RejectReject Upper H 0H0 because Pgreater than>0.030.03. C. RejectReject Upper H 0H0 because Pless than<0.030.03. D....

  • Preliminary data analyses indicate that the assumptions for using pooled​ t-procedures are satisfied. Independent random samples...

    Preliminary data analyses indicate that the assumptions for using pooled​ t-procedures are satisfied. Independent random samples of 104 plots with cropland and 98 plots with grassland yielded the given summary statistics for the number of species of bird. At the 55​% significance​ level, do the data provide sufficient evidence to conclude that a difference exists in the mean number of species in the two​ regions? Cropland Grassland x overbar 1 equals 14.44 x overbar 2 equals 15.66 s 1 equals...

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