You test calories for a food item. the brand name has a mean of 158.706 and a sample standard deviation = 25.236, when seventeen are tested. the generic item has a mean of 122.471 and a sample standard deviation = 25.183, when seventeen are tested. which is a confdence interval of 95%?

multiple choice: (show work)

a) 17.21 to 55.26
b) 18.12 to 54.35
c) 17.79 to 54.67
d) 18.622 to 53.848

option C

Step-by-step explanation:

given,

α = 1 - 0.95 = 0.05

degree of freedom (df) = 17 -1 = 16

critical value (from t-table)

margin of error =

=2.120\times \sqrt{\dfrac{25.36^2}{17}+\dfrac{25.183^2}{17}}[/tex]

= 2.120 x 8.6467

= 18.33

Margin of error = 18.33

Point estimation of difference =

                                                  = 36.235

lower limit = 36.235 - 18.33 = 17.91

upper limit = 36.235 + 18.33 = 54.57

hence, the nearest option near to answer is option C

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft