7. Complete parts (a) through (c) below. (a) Determine the critical value(s) for

Question

7. Complete parts (a) through (c) below.

(a) Determine the critical value(s) for a right-tailed test of a population mean at the

=0.01 level of significance with 20 degrees of freedom. = 2.528

(b) Determine the critical value(s) for a left-tailed test of a population mean at the =0.10

level of significance based on a sample size of n =10. = 1.372

(c) Determine the critical value(s) for a two-tailed test of a population mean at the =0.01

level of significance based on a sample size of n = 11. =2.718

(a) tcrit = ___?___ __?__(Round to three decimal places as needed.)

(b) tcrit = ___?___ __?__(Round to three decimal places as needed.)

(c) tcrit = ___?___ __?__(Round to three decimal places as needed.)

8. To test H0 : =40 versus H1: <40, a random sample of size n =23 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below.

a) if x = 36.9 and s = 12.7, compute the test statistic.

__?__ (round to 3 decimals as needed)

b) if the researcher decides to test this hypothesis at the a = 0.05 level of significance, determine the critical value(s).  

Critical Value: ___?__ (round to 3 decimals places. Use a comma to separate answers as needed.)

(c) Draw a t-distribution that depicts the critical region. Choose the correct answer below.

(d) Will the researcher reject the null hypothesis?

MUTIPLE CHOICE

a. No, because the test statistic does not fall in the critical region.

b. Yes, because the test statistic does not fall in the critical region.

c. No, because the test statistic falls in the critical region.

d. Yes, because the test statistic falls in the critical region.

Explanation / Answer

7)

a) df = 20-1=19, one tail , alfa =0.01

Tcri = 2.539

b) df = 10-1=9, alfa = 0.1 , left tail

Tcri = -1.383

C) df = 10 , alfa= 0.01 two tailed

Tcri = 3.169

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