Maud and Billy wanted to know if there's a difference between the modes of transportation used by men and women. One morning, they stood at the entrance to a big office building and surveyed people about the mode of transportation they used to get to the office. Maud surveyed a random sample of 110 women and Billy surveyed a random sample of 110 men. Here are the results:
They want to perform a x^2 test of homogeneity on these results.
What is the expected count for the cell corresponding to women who walk?
You may round your answer to the nearest hundredth.
Expected:

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

126 maybe. sorry

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!