Question

General X Cut It Copy Format Painter Calibri 11 A A === * Wrap Text BIU- QA SEE Merge & Center -000 Condition Formatting Paste Number Clipboard Alignment Font RIS K L M D Points E F G H J 95% Confidence interval for Average Age of Online College Students: 2 Sample Mean: Sample St. Dev: Sample Size: 30.58 9.32 1 2 Distribution: 2 Critical Value: *2 decimals 2 1 Margin of Error: Lower Bound: Upper Bound: 1.2 decimals Calculation: *2 decimals Calculation: *2 decimals Calculation: 1 2 Interpret 95% Confidence interval for Proportion of Male Online College Students: A B с 1 Age Gender 20 F 3 21 F 4 22M 5 22M 6 22 M 7 22 M 8 23 M 9 24 F 10 25 F 11 26 M 12 26 M 13 28 F 14 301M 15 30 F 16 30 F 17 32 F 18 34M 19 35 F 20 36 F 21 38 M 41 F 23 45M 24 46 F 25 56 M 26 HREFI HREF! 27 HREFI URLFI 28 HREF! HREF! 29 HREFI #REF! 30 #REF! 31 HREF! HREF! 32 33 34 35 36 37 38 99 40 41 42 43 + 1 1 2 Sample Size: Number of Males: Male Proportion: Female Proportion 14 decimals 2. Distribution: *2 decimals Critical Value: 2 2 1 1 Margin of Error: Lower Bound: Upper Bound: *4 decimals Calculation: *4 decimals Calculation: 14 decimals Calculation: REF: 2. Interpret 25 Total Points Week 3 Week 5 Week 6 o critical value calcul File Explorer Student Answer Sh... DEL

Answer 1

Sample Mean,    x̅ = ΣX/n =    30.5833

sample std dev ,    s = √(Σ(X- x̅ )²/(n-1) ) =   9.3200
Sample Size ,   n =    24

Level of Significance ,    α =    0.05          
degree of freedom=   DF=n-1=   23          
't value='   tα/2=   2.07 [Excel formula =t.inv(α/2,df) ]      
                  
Standard Error , SE = s/√n =   9.32/√24=   1.9024          
margin of error , E=t*SE =   2.0687   *   1.9024   =   3.94
                  
confidence interval is                   
Interval Lower Limit = x̅ - E =    30.58   -   3.9355   =   26.65
Interval Upper Limit = x̅ + E =    30.58   -   3.9355   =   34.52
95%   confidence interval is (   26.65 < µ <   34.52 )

There is    95%   confidence that true mean lies within confidence interval      

.................

Level of Significance,   α =    0.05          
Number of Items of Interest,   x =   12          
Sample Size,   n =    24          
                  
Sample Proportion ,    p̂ = x/n =    0.5000          
z -value =   Zα/2 =    1.96 [excel formula =NORMSINV(α/2)]      
                  
Standard Error ,    SE = √[p̂(1-p̂)/n] =    0.102062          
margin of error , E = Z*SE =    1.960   *   0.10206   =   0.2000
                  
95%   Confidence Interval is              
Interval Lower Limit = p̂ - E =    0.50000   -   0.20004   =   0.3000
Interval Upper Limit = p̂ + E =   0.50000   +   0.20004   =   0.7000
                  

..............

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