Given data:
The given cube .
The expression for the volume of the sphere is,
Thus, the volume of the sphere is 261 cubic-m.
The table shows the results of an experiment in which subjects taking either a drug or a placebo either reported fatigue or did
not report Teague.
Which statements are true?
Chose all answers that are correct.
- more subjects took the drug than took the placebo.
- twenty-eight percent of the subjects did not report fatigue.
- a greater percent of the subjects did not report fatigue.
-a greater percentage of subjects taking the placebo did not report fatigue.
Which statements are true?
Chose all answers that are correct.
- more subjects took the drug than took the placebo.
- twenty-eight percent of the subjects did not report fatigue.
- a greater percent of the subjects did not report fatigue.
-a greater percentage of subjects taking the placebo did not report fatigue.
2 answers:
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Answer:
(a) The probability that the store’s revenues were at least $9,000 is 0.0233.
(b) The revenue of the store on the worst 1% of such days is $7,631.57.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.
Then, the mean of the distribution of the sum of values of X is given by,
And the standard deviation of the distribution of the sum of values of X is given by,
It is provided that:
As the sample size is quite large, i.e. <em>n</em> = 310 > 30, the central limit theorem can be applied to approximate the sampling distribution of the store’s revenues for Sundays by a normal distribution.
(a)
Compute the probability that the store’s revenues were at least $9,000 as follows:
Thus, the probability that the store’s revenues were at least $9,000 is 0.0233.
(b)
Let <em>s</em> denote the revenue of the store on the worst 1% of such days.
Then, P (S < s) = 0.01.
The corresponding <em>z-</em>value is, -2.33.
Compute the value of <em>s</em> as follows:
Thus, the revenue of the store on the worst 1% of such days is $7,631.57.