Self-efficacy is a general concept that measures how well we think we can contro

Question

Self-efficacy is a general concept that measures how well we think we can control different situations. A multimedia program designed to improve dietary behavior among low-income women was evaluated by comparing women who were randomly assigned to intervention and control groups. Participants were asked, "How sure are you that you can eat foods low in fat over the next month?" The response was measured on a five-point scale with 1 corresponding to "not sure at all" and 5 corresponding to "very sure." Here is a summary of the self-efficacy scores obtained about 2 months after the intervention: Group Intervention 165 4.17 1.19 Control 212 3.61 1.12 (a) Do you think that these data are Normally distributed? Explain why or why not. O The distribution is Normal because the standard deviation is smaller than the mean O The distribution is Normal because the sample was randomly assigned O The distribution is not Normal because all scores are integers O The distribution is Normal because the sample sizes are large O The distribution is not Normal because the sample included only women (b) Is it appropriate to use the two-sample t procedures that we studied in this section to analyze these data? Give reasons for your answer O The t procedures should not be appropriate because we do not have Normally distributed data O The t procedures should not be appropriate because the two groups O The t procedures should be appropriate because we have Normally O The t procedures should be appropriate because we have two large O The t procedures should not be appropriate because the sample are different sizes. distributed data samples with no outliers. sizes are not large enough.

Explanation / Answer

Actually this can not exactly determined by the given information only but intuitively one can answer the question as follows,

a) The distribution is normal because sample is large enough so that the distirbution will tend to follow Normal distribution.

Hence the distribution may be normal.

b) The t procedure should be appropriate because we have to large sample (according to definition >30)with no outlier.   

Also, reason for no outlier is - the sample mean are farthest and std dev is almost same.

c) d) and e) are not clearly visible please upload new images as same as image one a) and b)

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