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Mathematics, 21.05.2021 21:00 baby0905rodriguez

PLEASE HELP ASAP 1. The probability that birth in the United States is male during 2018 is 0.511. Suppose a random number generator from 1 to 1,000 is used as a statistical model to create simulated results for births in the United States during 2018. Suppose the numbers 1 to 511 represent a male birth in the United States during 2018 and 512 to 1,000 represent a female birth in the United States during 2018. Explain whether the following results are consistent with the model, and if not, explain the expected number of male births and the expected number of female births for 300 trials. In 300 simulated trials, 171 of the births are female and 129 are male.

2.Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124 families and finds that, on average, those families visit a farmers' market 4.2 times per month with a sample standard deviation of 1.3. If Mika wants to be 99% confident (z=2.58) using this sample, what should her margin of error be and what does it mean?

3. Lily is a traffic engineer who is investigating the number of vehicles that travel on a certain point of expressway each day. She places a traffic counter in one direction of the expressway for 14 days. The number of vehicles counted each day are provided in the accompanying table.

15,410 16,247 16,096 16,330 17,107 11,812 14,877
14,731 15,873 16,129 16,284 16,959 12,101 14,514

Lily says that she can model the data for the number of vehicles per day to a normal distribution because the distribution is symmetric. Explain whether Lily's statement is correct and if not, correct the statement she made.

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