Apply Chebyshev's rule to answer the following question. A quantitative data set has mean 22 and standard deviation 3. At least what percentage of the observations lie between 16 and 28?

At least 75% of the observations lie between 16 and 28​.

Step-by-step explanation:

The Chebyshev’s Theorem says:

For any numerical data set, at least of the data lie within k standard deviations of the mean, that is, in the interval with endpoints for populations, where k is any positive whole number that is greater than 1.

Given:

The interval (16, 28) is the one that is formed by adding and subtracting two standard deviations from the mean.

For k = 2, we see that , which is 75% of the data must always be within two standard deviations of the mean.

At least 75% of the observations lie between 16 and 28​.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

answer: 30

step-by-step explanation: its 30 because im a basketball player and stephen curry hits most of his shots so if you put 30 you might make the shot goodluck