The 95% confidence interval for the population mean will have the following form. x+ (t critical value) The study was made up of 65 students with sample mean and standard deviation given to be 35.8 and 6.38, respectively, so we have n= 65, x- 35.8, and s - 6.38. The t critical value is based on n- 1 - 64 degrees of freedom and can be found from the table excerpt below. Central area captured 0.80 0.90 0.95 0.98 0.99 0.998 0.999 Confidence level 80% 90% 95% 98% 99% 99.8% 99.9% 40 1.30 1.68 2.02 2.42 2.70 3.31 3.55 Degrees of Freedom 60 1.30 1.67 2.00 2.39 2.66 3.23 3.46 120 1.29 1.66 1.98 2.36 2.62 3.16 3.37 Since there is not a row for 64 degrees of freedom, we will use the row for the closest degrees of freedom,-Select-V critical value will be found by moving along this row until reaching the column for the desired confidence level, 95%. Thus, the neededt The needed critical value is

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Step 2
The 95% confidence interval for the population mean will have the following form.
Xa (t critical value)
The study was made up of 65 students with sample mean and standard deviation given to be 35.8 and 6.38, respectively, so we haven = 65,
x = 35.8, and s = 6.38.
The t critical value is based on n - 1 = 64 degrees of freedom and can be found from the table excerpt below.
Central area captured
0.80
0.90
0.95
0.98
0.99
0.998
0.999
Confidence level
80%
90%
95%
98%
99%
99.8%
99.9%
40
1.30
1.68
2.02
2.42
2.70
3.31
3.55
Degrees of Freedom
60
1.30
1.67
2.00
2.39
2.66
3.23
3.46
120
1.29
1.66
1.98
2.36
2.62
3.16
3.37
Since there is not a row for 64 degrees of freedom, we will use the row for the closest degrees of freedom,
critical value will be found by moving along this row until reaching the column for the desired confidence level, 95%. Thus, the neededt
critical value is
-Select V
The needed
Transcribed Image Text:Step 2 The 95% confidence interval for the population mean will have the following form. Xa (t critical value) The study was made up of 65 students with sample mean and standard deviation given to be 35.8 and 6.38, respectively, so we haven = 65, x = 35.8, and s = 6.38. The t critical value is based on n - 1 = 64 degrees of freedom and can be found from the table excerpt below. Central area captured 0.80 0.90 0.95 0.98 0.99 0.998 0.999 Confidence level 80% 90% 95% 98% 99% 99.8% 99.9% 40 1.30 1.68 2.02 2.42 2.70 3.31 3.55 Degrees of Freedom 60 1.30 1.67 2.00 2.39 2.66 3.23 3.46 120 1.29 1.66 1.98 2.36 2.62 3.16 3.37 Since there is not a row for 64 degrees of freedom, we will use the row for the closest degrees of freedom, critical value will be found by moving along this row until reaching the column for the desired confidence level, 95%. Thus, the neededt critical value is -Select V The needed
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