Question

In a study of speed​ dating, male subjects were asked to rate the attractiveness of their female​ dates, and a sample of the results is listed below ​(1equalsnot ​attractive; 10equalsextremely ​attractive). Construct a confidence interval using a 95​% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult​ females?

7​, 8​, 1​, 8​, 6​, 5​, 6​, 7​, 7​, 10​, 3​, 8

Answer 1

Following formula can be used to calculate the confidence interval:

Where,

X is the sample mean

Z is the z score

σ is the standard deviation

n is the sample size

Given information:

n = 12 ( as male respondents have been surveyed)

Mean = (Sum of all values)/n

Mean = ( 7 +8+1+8+6+5+6+7+7+10+3+8)/12

Mean = 6.333

We can use excel to calculate the standard deviation:

Just put the data into excel and write command =stdev.s and select the data.

Z score at 95% confidence interval is 1.96

Now, using the confidence interval formula, we get:

The confidence interval is (4.959,7.701)

The result tells the males to give attractiveness ratings in the range of 4.959 to 7.701.

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