Dec 13th Pack Day Assignment

Front

What is the probability of the gray area if the mean is 55 and the standard deviation is 2.5?

Back

0.8185

Front

How do you calculate the z-score for a value in a normal distribution?

Back

Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What is the z-score of a 3rd grader who is 47 inches tall if the mean height is 52 inches and the standard deviation is 2.5 inches?

Back

-2

Front

What is the standard deviation of the sampling distribution for average taxi fare if the mean fare is $22.50 and the standard deviation is $2.20 with a sample size of 25?

Back

$0.44

Front

What is the formula for the standard deviation of the sampling distribution?

Back

σ_x̄ = σ / √n, where σ is the population standard deviation and n is the sample size.

Front

What is the probability that between 70 and 74 percent of dentists recommend Trident if 3 out of 4 dentists recommend it?

Back

0.2846

Front

What does it mean if a distribution is strongly skewed to the right?

Back

It means that the majority of the data points are concentrated on the left side, with a long tail extending to the right.

Front

What is the mean length of stay in hospitals in a certain region if it is given as 5.5 days with a standard deviation of 2.6 days?

Back

Mean = 5.5 days, Standard Deviation = 2.6 days.

Front

What is the best description of the sampling distribution of the mean length of stay if samples of size 100 are taken from a skewed distribution?

Back

Approximately normal with mean 5.5 days and standard deviation 0.26 day.

Front

What is the Central Limit Theorem?

Back

It states that the sampling distribution of the sample mean will be approximately normally distributed if the sample size is sufficiently large, regardless of the shape of the population distribution.