Question

In: Statistics and Probability

show your work please In a study of speed dating conducted at Columbia University, 15 female...

show your work please

In a study of speed dating conducted at Columbia University, 15 female subjects were asked to rate the attractiveness of their male dates, and a sample showed the results to be a mean of 7.35 and standard deviation of 2.70. Construct a 95% confidence interval.

final answer

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Upper

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Expert Solution

Solution :

Given that,

= 7.35

s =2.71

n = 15

Degrees of freedom = df = n - 1 = 15- 1 = 14

a ) At 95% confidence level the t is ,

= 1 - 95% = 1 - 0.95 = 0.05

  / 2= 0.05 / 2 = 0.025

t /2,df = t0.025,14 = 2.145 ( using student t table)

Margin of error = E = t/2,df * (s /n)

= 2.145* ( 2.70/ 15)

= 1.4954

The 95% confidence interval estimate of the population mean is,

- E < < + E

7.35 - 1.4954 < <7.35 + 1.4954

5.8546 < < 8.8454

( lower limit=5.8546 ,upper limit= 8.8454)


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