Homework 84 soC-382 (Fall 2017) If you would like it graded and returned prior t

Question

Homework 84 soC-382 (Fall 2017) If you would like it graded and returned prior to Exam "1, then it Tuesday, September 26. If you do not want it grad the beginning of class on Thursday, September 28. I will NOT is due by the end of class on ed and returned prior to Esan #1, then it is due a accept late submissions on Thursday September 28. This assignment is out of 25.25 points. 11,471 GSS respondents in 2014 emailed for an average of 6.27 hours/week, with a standard deviation of 11.335 hours/week. Answer the number hour hours emailed is normal. following questions, assuming the distribution of the a What percent of the respondents emailed more than 5 hours/week? (125 points) b. What is the proportion of respondents who emailed less than 40 hourslweek? (1.25 points) What is the probability of randomly selecting a respondent who emails between 4 and 8 hours/week? (1.75 points) What proportion of respondents email between 1 and 2 hours/week (1.75 points) c.) e.) What percentage of respondents email less than 0.25 hour/week and more than 20 hours/week? (1.75 points) minder: Be sure to calculate z-scores for each raw score. (7.75 points total

Explanation / Answer

Data given:

Sample mean, m = 6.27

Sample SD, S = 11.335

Sample size, n = 1471

(a)

Calculating z-score for X = 5:

z = (5-6.27)/(11.335) = -0.112

The corresponding p-value for this z-score is: 0.455

So, reqd % = 100-45.5 = 54.5%

(b)

Calculating z-score for X = 40:

z = (40-6.27)/(11.335) = 2.975

The corresponding p-value for this z-score is: 0.998

So, reqd % = 99.8%

(c)

Calculating z-score for X = 4:

z = (4-6.27)/(11.335) = -0.2

The corresponding p-value for this z-score is: 0.42

Calculating z-score for X = 8:

z = (8-6.27)/(11.335) = 0.153

The corresponding p-value for this z-score is: 0.56

So, reqd probability = 0.56-0.42 = 0.14

(d)

Calculating z-score for X = 1:

z = (1-6.27)/(11.335) = -0.465

The corresponding p-value for this z-score is: 0.321

Calculating z-score for X = 2:

z = (2-6.27)/(11.335) = -0.377

The corresponding p-value for this z-score is: 0.353

So, reqd proportion = 0.353-0.321 = 0.032 = 3.2%

Hope this helps !

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