In a Large Statistics Class,the Professor Has Each Student Toss

question 4

Multiple Choice

In a large statistics class,the professor has each student toss a coin 14 times and calculate the proportion of his or her tosses that were tails.The students then report their results,and the professor plots a histogram of these several proportions.Should a Normal model be used here?

• A)A Normal model should not be used because the sample size,14,is larger than 10% of the population of all coins.
• B)A Normal model should be used because the samples are random and independent.Also,the sample size,14,is less than 10% of the population.
• C)A Normal model should not be used because the sample size is not large enough to satisfy the success/failure condition.For this sample size,np = 7 < 10.
• D)A Normal model should be used because the 14 coin tosses can be thought of as a random sample of coin tosses and are fewer than 10% of the population of all coins.The success/failure condition is also satisfied because n = 14 ≥ 10.
• E)A Normal model should not be used because the population distribution is not Normal.

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Definitions:

Hydrocephalus

A condition where there is an abnormal accumulation of cerebrospinal fluid (CSF) in the ventricles, or cavities, of the brain, which can increase pressure inside the skull and lead to brain damage.

Goiter

An enlargement of the thyroid gland, which can cause a visible swelling in the neck.

Iodine Deficiency

A lack of the mineral iodine in the body, leading to insufficient production of thyroid hormones, which can cause various health problems including goiter and cognitive impairments.

Thyroid Gland

An endocrine gland in the neck that produces hormones regulating the body's metabolic rate, heart function, digestive function, muscle control, brain development, and bone maintenance.