Question

Consider the following hypotheses: Ho: mean = 16 Hy: mean < 16 A test is performed with a sample of size 100. The sample mean was 6.33 and the population standard deviation is 60. Assume that the population is approximately normal. Use the TI-84 PLUS calculator to compute the P-value. Round your answer to four decimal places (for example: 0.0138). Write only a number as your answer.

Answer 1

Solution:

Given:

H0: mean = 16

H1: mean < 16

Sample size = n = 1000

Sample mean = $\bar{x} = 6.33$

Population standard deviation = $\sigma = 60$

Use following steps in TI 84 plus calculator:

Press STAT and select TESTS

Under TESTS select Z Test

Under Z Test select Stats

Enter numbers:

TI-84 Plus Silver Edition * TEXAS INSTRUMENTS E-Test Inpt:Data Stats H0:16 g:60 X:6.33 n: 100 Calculate Draw STAT PLOTF1 TBLSET F2 FORMAT F3 CALC F4 TABLE FS ZOOM WINDOW TRACE GRAPH ouIT IN 2ND MODE DEL ACOC LI ALPHA Х.T.ел STAT TEST A ANOLE DISTR MATH CLEAR APPS VARS PRGM MATRI D YAN G

Click on calculate and press Enter

TI-84 Plus Silver Edition * TEXAS INSTRUMENTS 2-Test UK16 z=-1.611666667 P=,0535172417 X=6.33 n=100 STAT PLOT F1 TBLSET F2 FORMAT F3 CALC F4 TABLE FS WINDOW ZOM GRAPH TRACE DUIT INS 2ND MODE DEL ALPHA X.T,8,n STAT TEST A ANDLE

P-value = 0.0535