Review The SPSS Output File Which Reports Results

Review The Spss Output File Which Reports The Results Of The Independe

Review the SPSS output file which reports the results of the independent t-test to compare the mean price per 6-pack for regular versus reduced-calorie brands of wheat beer. Answer the following questions based on your observations of the SPSS output file:

Is the F-value for Levene's Test for Equality of Variances significant (that is, is the p

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The analysis of the independent samples t-test presented in the SPSS output aims to determine whether there is a significant difference in the mean price per 6-pack between regular and reduced-calorie brands of wheat beer. A critical step in interpreting the results involves examining the Levene's Test for Equality of Variances, which assesses whether the variances of the two groups are equal, influencing which t-test to interpret.

In this dataset, the Levene's Test produced an F-value of 6.987 with a significance level (p-value) of 0.012. Since this p-value is less than the conventional threshold of 0.05, it indicates that the variances between the two groups are statistically significantly different. Consequently, the assumption of equal variances does not hold, and the appropriate t-test to interpret is the one labeled "Equal variances not assumed."

The corresponding t-value for this test is 1.769, with degrees of freedom approximately 31.912. The two-tailed significance level (p-value) associated with this t-value is 0.086. Because this p-value exceeds the typical alpha level of 0.05, it suggests that the observed difference in mean prices between regular and reduced-calorie beers is not statistically significant.

The mean price for regular beers is approximately $3.12, while reduced-calorie beers average about $2.68. The calculated mean difference is approximately $0.44, with a 95% confidence interval ranging from -$0.07 to $0.95. This interval includes zero, further indicating the absence of a statistically significant difference in prices at the 0.05 significance level.

In conclusion, based on the SPSS output, there is no statistically significant difference in the average price per 6-pack between regular and reduced-calorie wheat beer brands. Although the observed mean difference favors regular beers being more expensive, this difference is not statistically significant, implying that price may not be a defining factor in consumer choices between these two types of products.

References

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