You are a marketing expert for a company that is producing a new kind of energy

Question

You are a marketing expert for a company that is producing a new kind of energy bar. You want to provide e that consuming the new type of bar 1 hour before engaging in strenuous vidence exercise of long duration-such as running a marathon-will improve performance. You decide to conduct a test at a half-marathon race. You give the bar to a randomly selected group of 30 participants (the treatment g roup). You randomly select a second group of 30 participants, to whom you do not give the energy bar (the control group) The average time for the control group was 2 hours and 14 minutes (2:1 of 25 minutes. The average time for the treatment group was 2 hours standard deviation of 21 minutes. 4, or 134 minutes) with a standard deviation and 12 minutes (2:12, or 132 minutes) with a You use a statistical computing package to conduct the independent-measures t test. The following tables represent your output Group Statistics Mean 134 132 Std Deviation 25 21 Std Error Mean 4.56 3.83 Group Time Control 30 Treatment 30

Explanation / Answer

Answer

(A) It is clear from the result table that the p value is 0.637 which is more than 0.05 significance level, thus we can conclude that the result is insignificant, So we can neglect first 2 options

Now, we have to decide one correct option out of 3rd and 4th option

Since we are testing for difference between treatment group and control group variances and result is insignificant, this means there is no difference in variance or we can assume equal variances

So option 4th is the correct answer, i.e. the result is insignificant and we can conclude that variances are equal.

(B) Since the result is insignificant, so there is no evidence to conclude that there is any effect of energy bar

So, we can neglect option A and D as they are suggesting the result to be significant, i.e. option A and D are incorrect

Now, we have to choose the correct option between B and C

both option B and C has same language but different p values corresponding to the obtained t values

from the data table, it is clear that the p value corresponding to the obtained t value is 0.637

so, option C is correct answer

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