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Question

? | secure l https://www.mathxl.com/Student/PlayerTest.aspx?testld-182120246 MAT220.31: Statistics I [MOD5 ONLINE (4/30-6/24/18)] Karen Webster ! 6/12 t: POST UNIT 7- TEST - Ch. 10 Question: 1 pt 8 of 13 (6 complete) This Questio To test Ho ?=40 versus HI :?40, a random sample of size n = 241s obtained from a population that is known to be normally distributed. Complete parts a through d below Click here to view the t-Distribution Area in Right Tail. (a) Ifx=37.7 and s= 12.2, compute the test statistic. to-Round to three decimal places as needed) b) if the researcher decides to test this hypothesis at the a 0.1 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given Critical Value: Round to three decimal places. Use a comma to separate answers as needed.) (c) Draw a t-distribution that depicts the critical region. Choose the correct answer below ??. Cl A. (d) Will the researcher reject the null hypothesis? Click to select your answer(s) 6:21 Pl ??6/12/20 O Type here to search

Explanation / Answer

a)

t =(X-mean)/std error =(37.7-40)/(12.2/sqrt(24))=-0.924

b)

crtiical value =-1.319

c)

option A is correct

d)

fail to reject the null hypothesis

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