Question

THIS IS A WHOLE QUESTION IF ITS POSTED IN PIECES IT WILL NOT FLOW

Imagine that I was interested in the effect of benevolent intentions on pleasure. Participants received one of two types of goodies: a tootsie roll with a note that read, “I picked this goodie just for you. I hope you like it!” or a note that read, “I was told to pick this goodie. So, whatever.” After the participants completed a puzzle and ate the candy they were asked how delicious they thought the good was on a scale that ranged from 1 (not at all delicious) to 6 (extremely delicious). The data are below.

Benevolent condition, M = 4.55, SD = 2.10          Apathetic condition, M = 2. 30 SD = 1.25

Describe the mean differences in plain language.

Describe the variability in both conditions.

Decide which statistical test you should use.

Imagine the following data: t(38) = 6.38, p < .001. What would you conclude about the effect of benevolent intention on pleasure?

Which of the above is an inferential statistic?

Write an APA style sentence describing the descriptive and inferential statistics.

Answer 1

Describe the mean differences in plain language.

The average delicious scale of goodies for a benevolent condition is more than the average delicious scale of goodies for an apathetic condition. Peoples are more likely to rate more scale for the deliciousness of goodies when they receive benevolent condition in either way.

Describe the variability in both conditions.

The standard deviation for the delicious scale in benevolent condition is more than the standard deviation for the delicious scale in apathetic condition.

Coefficients of variation (CV) for benevolent condition and Apathetic condition are given as below:

CV for benevolent condition = SD/M = 2.10/4.55 = 0.461538 or 46%

CV for apathetic condition = SD/M = 1.25 / 2.30 = 0.543478 or 54%

CV for benevolent condition is less than CV for apathetic condition. This means, there is more variation in the apathetic condition as compared to benevolent condition.

Decide which statistical test you should use.

We will use the two sample t-test or independent samples t-test for the population means. Here, we have to compare the two average scales and we want to check whether there is a significant effect of the benevolent intention on pleasure or not.

H₀: µ₁ = µ₂ versus H_a: µ₁ > µ₂

(One-tailed test/Upper tailed/Right tailed test)

Where,

µ₁ = average delicious scale for benevolent condition and

µ₂ = average delicious scale for an apathetic condition.

Imagine the following data: t(38) = 6.38, p < .001. What would you conclude about the effect of benevolent intention on pleasure?

For this test, we get test statistic t = 6.38 and p-value < 0.001, so we reject the null hypothesis that average delicious scale for benevolent and apathetic conditions are same.

There is sufficient evidence to conclude that the average delicious scale for a benevolent condition is more than the average delicious scale for the apathetic condition.

Which of the above is an inferential statistic?

The test statistic value and p-value given above are the inferential statistic used for this scenario.

Write an APA style sentence describing the descriptive and inferential statistics.

Descriptive statistics provides us only the information regarding the data or different measures of data. These are nothing but the data characteristics. But in inferential statistics, we are dealing with the inference about the population parameters. We check different claims or research hypotheses by using inferential statistics. Inferential statistics plays an important role in the prediction of different variables.