A recent study indicated that 30% of teenagers have cooked family dinner in the past month....

A recent study indicated that 30% of teenagers have cooked family dinner in the past month. In a random sample of 20 teenagers, what is the probability that...

...exactly 6 have cooked dinner in the past month? (round your answer to 3 decimal places)

...fewer than 4 have cooked dinner in the past month? (round your answer to 3 decimal places)

...at least 9 but no more than 12 have cooked dinner in the past month? (round your answer to 3 decimal places) Did you use a table, calculator, or formula for your answers above? (Make sure your submitted work confirms your method).

Solutions

Expert Solution

The number of teenagers who have cooked family dinner in the past month out of the 20 teenagers sample is modelled here as:

a) The probability that exactly 6 have cooked dinner in the past month is computed here as:

Therefore 0.192 is the required probability here.

b) The probability that fewer than 4 have cooked dinner in the past month is computed here as:

Therefore 0.107 is the required probability here.

c) The probability that at least 9 but no more than 12 have cooked dinner in the past month is computed here as:

Therefore 0.112 is the required probability here.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

SCENARIO: Rachel and her family are enjoying a great home-cooked dinner. At one point Rachel's brother...

SCENARIO: Rachel and her family are enjoying a great home-cooked dinner. At one point Rachel's brother (who they weren't expecting) sneaks in and comes into the room tapping Rachel on the shoulder from behind and surprises everyone. Unfortunately for Rachel, she inhales a small piece of food (wrong tube situation). She struggles to breathe, gags, and coughs a few times, and eventually (nearly a minute has passed) dislodges the food and begins breathing normally again. Think about this scenario, there...

A recent study of 30 people indicated that the mean body temperature was 98.2 with a...

A recent study of 30 people indicated that the mean body temperature was 98.2 with a calculated standard deviation of .62 . Test the hypothesis at the α = .05 level that the mean body temperature is not equal to 98.6. Since we have a calculated standard deviation, we must use the adjusted normal table (Table-A3). This is an example of a Two Tail Test.

A recent study shows that 83% of teenagers have used cell phones while driving. In Oct....

A recent study shows that 83% of teenagers have used cell phones while driving. In Oct. 2010, California enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to test whether the law has lowered the proportion of drivers under the age of 18 who use a cell phone. In a random sample of 80 young drivers, 62 of them said that they used cell phones while driving. Test the...

A recent Wall Street Journal article indicated that 37% of American teenagers use Pandora's online radio...

A recent Wall Street Journal article indicated that 37% of American teenagers use Pandora's online radio service. Suppose a sample of 25 American teenagers is selected. Based on this information, generate a cumulative binomial probability distribution in the given space. Round to four decimals for the answer. Find the probability that the number of American teenagers who use Pandora's online radio service differs by greater than 1 from the mean. Find the probability that greater than 4 American teenagers use...

A recent study indicated of 50 cdddvcvvo people indicated that 53.5% of people vote. Test the...

A recent study indicated of 50 cdddvcvvo people indicated that 53.5% of people vote. Test the Hypothesis at the α =.05 level that the proportion of people that vote is > 50%

A recent study indicated that 22% of the 161 women over age 55 in the study...

A recent study indicated that 22% of the 161 women over age 55 in the study were widows. Round up your answers to the next whole number for the following questions. How large a sample must you take to be 95% confident that the estimate is within 0.04 of the true proportion of women over age 55 who are widows?

A study indicates that 90% of American teenagers have tattoos. You randomly sample 25 teenagers. Find...

A study indicates that 90% of American teenagers have tattoos. You randomly sample 25 teenagers. Find the probability that less than 19 will have tattoos. Round your answer to 4 decimal places.

A recent study examined hearing loss data for 1666 U.S. teenagers. In this sample, 307 were...

A recent study examined hearing loss data for 1666 U.S. teenagers. In this sample, 307 were found to have some level of hearing loss. News of this study spread quickly, with many news articles blaming the prevalence of hearing loss on the higher use of ear buds by teens. At MSNBC.com (8/17/2010), Carla Johnson summarized the study with the headline: “1 in 5 U.S. teens has hearing loss, study says.” To investigate whether this is an appropriate or a misleading...

A recent study examined hearing loss data for 1,771 U.S. teenagers. In this sample, 333 were...

A recent study examined hearing loss data for 1,771 U.S. teenagers. In this sample, 333 were found to have some level of hearing loss. Your goal is to estimate the true long run proportion of all U.S teenagers who have some level of hearing loss. Suppose we are interested in whether or 1 in 5 teens have hearing loss or not. In symbols, state the correct hypotheses to test this claim. Based on your confidence interval above, would you reject...

A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The response...

A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The response variable was the number of yes answers on a questionnaire called the Hooked on Nicotine Checklist (HONC). Of teenagers who had tried tobacco, the mean HONC score was 2.9 (s equals=4.34) for the 150 females and 2.3 (s equals=3.6) for the 181 males. Complete parts a through c below. a. Find the standard error comparing the sample means. Interpret. The standard error is=? (Round...

Subjects