A stuaty of the effects of color on easing anooety compared ariety test sceres o

Question

A stuaty of the effects of color on easing anooety compared ariety test sceres of parsclbants who completed the test printed on ether soft yellow paper or on harsh green paper. The soores for ive participants who completed the test printed on the yellow paper were 16, 20, 20, 18 and 19 The scores for four participants who completed the test on the green paper were 20, 27, 18, and 25 ful dataset. Using the 0.01 level, one-tailed (predicting lower anaiety scores for the yellow paper), what should the researcher conclude? Complete parts (a) through (a) below Click the icon to view the table of cutoff scores for the t distibution (a) Use the steps of hypothesis testing Let Sample 1 be the yelow paper group and Sample 2 be the greer pae oup emine te u and research ypotheses. Fit in the bianks The reeourch hypothes a tht tion mean for b yolow pape goph ppcn for e gr paer grous The nulil s is that the popuaton mean for the yellow paper group is the soe as the population mean for the green paper group Calcuiate the t soore Round to two deomal places as needed)

Explanation / Answer

The statistical software output for this problem is:

Two sample T hypothesis test:
?1 : Mean of Sample 1
?2 : Mean of Sample 2
?1 - ?2 : Difference between two means
H0 : ?1 - ?2 = 0
HA : ?1 - ?2 < 0
(without pooled variances)

Hypothesis test results:

Hence,

t = -1.88

Difference Sample Diff. Std. Err. DF T-Stat P-value ?1 - ?2 -4.3 2.2927422 4.1374045 -1.8754835 0.0658

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