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 .

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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