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

the option best identifies the textual evidence that supports this conclusion is c.) when an argument is over, how many weighty reasons does a man recollect which his heat and violence made him utterly forget? in order to recognize textual evidence is to identify the topic sentence where the author states the main idea. textual evidence is what supports the topic sentence or main idea of a passage.