Examine the results of a study1 investigating whether fast food consumption increases one’s concentration of phthalates, an ingredient in plastics which has been linked to multiple health problems including hormone disruption. The study included 8877 people who recorded all the food they ate over a 24-hour period and then provided a urine sample. Two specific phthalate byproducts were measured (in ng/mL) in the urine: DEHP and DiNP. Find a confidence interval for the difference, , in mean concentration between people who have eaten fast food in the last 24 hours and those who haven’t. The mean concentration of DEHP in the 3095 participants who had eaten fast food was with while the mean for the 5782 participants who had not eaten fast food wasx¯N=59.1 with sN=152.1.

Following are the solution to the given question:

Given:

Sample sizes are large enough to use the normal distribution.

For 95% confidence level, 1.96 when the 95% confidence interval is:

Therefore, the final answer is "32.37 or 16.62".

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confidence interval for the difference, , in mean concentration between people who have eaten fast food in the last 24 hours and those who haven’t.

is between 14.1 to 34 .9

Step-by-step explanation:

in order to find a confidence interval for the difference, , in mean concentration between people who have eaten fast food in the last 24 hours and those who haven’t. check the attached files for explanation .

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

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step-by-step explanation:

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