54	27	21	6	7
39	5	3	49	6
7	37	46	46	38
27	47	43	52	31
52	57	22	29	47
10	19	13	37	12
11	4	13	29	8
54	26	31	35	10
19	22	4	12	6
6	49	59	12	11

1. Use the table above to create an 80%, 95%, and 99% confidence interval.
2. Choose another confidence level (besides 80%, 95% or 99%) to create another confidence interval.

Sample Size n = 50

Sample Mean = x = X/n = 26.2000

Sample Standard Deviation = s = ((X- x )/(n-1) ) = 17.68777

80%

Level of Significance , = 0.2

degree of freedom= DF=n-1= 49

't value=' t/2= 1.299 [Excel formula =t.inv(/2,df) ]

Standard Error , SE = s/n = 17.6878/50= 2.5014

margin of error , E=t*SE = 1.299*2.5014= 3.24953

Confidence interval is

Interval Lower Limit = x - E = 26.2-3.2495= 22.95047

Interval Upper Limit = x + E = 26.2+3.2495= 29.44953

80% Confidence interval is (22.95 < < 29.45 )

95%

Level of Significance , = 0.05

degree of freedom= DF=n-1= 49

't value=' t/2= 2.010 [Excel formula =t.inv(/2,df) ]

Standard Error , SE = s/n = 17.6878/50= 2.5014

margin of error , E=t*SE = 2.01*2.5014= 5.02681

Confidence interval is

Interval Lower Limit = x - E = 26.2-5.0268= 21.17319

Interval Upper Limit = x + E = 26.2+5.0268= 31.22681

95% Confidence interval is 21.17 < < 31.23 )

99%

Level of Significance , = 0.01

degree of freedom= DF=n-1= 49

't value=' t/2= 2.680 [Excel formula =t.inv(/2,df) ]

Standard Error , SE = s/n = 17.6878/50= 2.5014

margin of error , E=t*SE = 2.68*2.5014= 6.70371

Confidence interval is

Interval Lower Limit = x - E = 26.2-6.7037= 19.49629

Interval Upper Limit = x + E = 26.2+6.7037= 32.90371

99% Confidence interval is 19.50 < < 32.90 )

1. Provide a sentence for each confidence interval created above which explains what the confidence interval means in context of topic of your project.

80% Confidence interval is (22.95 < < 29.45 )

This implies that we are 80% confident that the mean lies between 22.95 and 29.45 with a margin error of 3.24953 .

95% Confidence interval is 21.17 < < 31.23 )

This means that we are 95% confident that the mean scores lies between 21.17 and 31.23 with a margin error of 5.02681

99% Confidence interval is 19.50 < < 32.90 )

This means that we are 99% confident that the mean scores lies between 19.50 and 32.90 with a margin error of6.70371

--------------------------------------------------------QUESTION-----------------------------------------------------

(Round the mean and sample standard deviation to values to FIVE decimal places)

Sample Mean =

Sample Standard Deviation =

(Round the lower/upper limits and margin of error to THREE decimal places).

80% Confidence Interval:

80% Confidence Interval Margin of Error: