Item 10 Find the median, first quartile, third quartile, and interquartile range of the data. 38,55,61,56,46,67,59,75,65,58
1 answer:
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Answer:
Work Shown:
Explanation:
As the steps above show, the goal is to factor the expression under the root in terms of pulling out cubed terms. That way when we apply the cube root to them, the exponents cancel. We cannot factor the y term completely, so we have a bit of leftovers.
Answer:
When sample size increases from n = 23 to n = 35, the mean of the distribution of sample means remains same but the standard deviation of the distribution of sample means decreases from 0.073 to 0.059.
Step-by-step explanation:
We are given the amounts of time employees at a large corporation work each day are normally distributed, with a mean of 7.5 hours and a standard deviation of 0.35 hour.
Random samples of size 23 and 35 are drawn from the population and the mean of each sample is determined.
Here, = population mean = 7.5 hours
= population standard deviation = 0.35 hour
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<u><em>Let </em></u><u><em> = sample mean</em></u>
(a) The random samples of size of n = 23 is drawn from the population;
So, mean of the distribution of sample means = = 7.5 hours
Standard deviation for the distribution of sample means is given by;
s = =
= 0.073
(b) The random samples of size of n = 35 is drawn from the population;
So, mean of the distribution of sample means = = 7.5 hours
Standard deviation for the distribution of sample means is given by;
s = =
= 0.059
(c) So, as we can see that when sample size increases from n = 23 to n = 35, the mean of the distribution of sample means remains same but the standard deviation of the distribution of sample means decreases from 0.073 to 0.059.