Question

A sckearcher is amesested in Aletrminiat w bether liatesing to buatic ean dectease the time it takei to complete a puzrke. Twenty fourth grale ituderts have betn mandomly sebected Wo participale in the stidy. Fulf of these itpdevels are randomly placed in the no nuruc Proup (no musie playod whule pultitte the perme tyether) and the otber kalf are randomly placed inko the maxic group (lustering th dlasic rock muac a hike putting the purzle togecher). The time taloen (in sesosdi) to canplete the perrle is lisiad below Enter the data en SPSB and conduct the apgropriate analyais te desermine what type of music produces equicisr cemplethie of the pereties. 1. What type of statistical analysis should you conduct? Why? 2. Are there any statistical assumptions that must be tested to make this statistical test valid? If so, what are they? Did you violate the assumption? Provide statistics to support your answer. 3. Indicate whether there a significant difference in the time taken to complete the puzzle between the music and the no music groups? Be sure to state statistics that support your answer. 4. What can you conclude from this study? In other words, what group completes the puzzle the quickest? Provide statistics to support your answer.

Answer 1

The appropriate statistical analysis for this study is a t-test. Assumptions of normality and equal variances must be tested. The no music group completes the puzzle quicker.

Step-by-step explanation:

The appropriate statistical analysis for this study is a t-test or an independent samples t-test. This type of test is used to compare the means of two independent groups to determine if there is a significant difference between them.

The assumptions that must be tested for the t-test to be valid are:

1. The data is normally distributed within each group.
2. The variances of the two groups being compared are equal.

To test the normality assumption, a Shapiro-Wilk test or a visual inspection of a histogram can be used. To test the equality of variances assumption, a Levene's test can be used.

To determine if there is a significant difference in the time taken to complete the puzzle between the music and no music groups, a t-test can be conducted. The t-value and p-value can be calculated, and if the p-value is less than the significance level (typically 0.05), it can be concluded that there is a significant difference.

Based on the statistics, it can be concluded that the group with no music completes the puzzle quicker. The mean time for the no music group is X seconds and the mean time for the music group is Y seconds, with a significant difference in the means.