We believe the importance of taste differs depending on the student\'s instituti

Question

We believe the importance of taste differs depending on the student's institution type. a) (1 point) Report the mean values of each. b) (4 points) Test the following hypothesis: Ho: ?2-year-Ha-year Hai ?2-year ?4-year Report the conclusion, including the value of your test statistic and the p-value. Group Statistics Std. Error Mean Mean Std. Deviation q12 Institution type 2-Year Community/Junior College 4-Year University/College 350 490 q05a Importance - Taste 4.70 544 029 4.63 028 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Sig. (2Mean Diff Sig df ailed) LowerUpper q05a Importance- Taste Equal variances 11.075 001 1.819 838 045 074 006 154 assumed Equal variances not assumed .004 153 1.854 798.72 041 074

Explanation / Answer

a)mean of importance test for 2-year community/junior college is 4.70

Mean of importance test for 4-year university/college is 4.63

b)here leven's test for equality of variances is done.p value of this test is 0.001.

Here significance level=alpha=0.05

P value=0.001 is less than alpha=0.05

Therefore null hypothesis of equality of variances is rejected.therefore here variances of two groups are not equal.Therefore here we will consider t staristic when equal variance not assumed.

Test statistic(t)=1.854

Pvalue of t test for equality of the means is 0.041.

P value =0.041 is less than alpha=0.05.

Therefore we reject H0.and may conclude that mean importance test for 2-year community/junior college is not equal to that of 4 year university/college.

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