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Nookie1986 [14]
3 years ago
8

Consider this population data set:4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a ra

ndom sample drawn
from the data set.
The sample mean is more than the population mean by
Reset
Next
Mathematics
1 answer:
irga5000 [103]3 years ago
3 0

Answer:

3.5

Step-by-step explanation:

Find the Mean of the Population Data Set

4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186

186 ÷ 12 = 15.5

Find the Mean of the Sample Data Set

11 + 31 + 22 + 12 = 76

76 ÷ 4 = 19

Subtract

19 - 15.5 = 3.5

Answer: <em>The sample mean is more than the population mean by 3.5</em>

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3 years ago
From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-ciga
jasenka [17]

Answer:

The 90% confidence interval is (0.1897, 0.2285).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week. This means that n = 1186, \pi = \frac{248}{1186} = 0.2091

Construct a 90% confidence interval to estimate the population proportion of Americans age 18-29 who vaped in the past week.

So \alpha = 0.10 , z is the value of Z that has a pvalue of 1 - \frac{0.10}{2} = 0.95, so z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 - 1.645\sqrt{\frac{0.2091*0.7909}{1186}} = 0.1897

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 + 1.645\sqrt{\frac{0.2091*0.7909}= 0.2285

The 90% confidence interval is (0.1897, 0.2285).

3 0
3 years ago
Find the limit if it exists
mash [69]

Answer:

20.

Step-by-step explanation:

When x = 2

f(x= 3(2)^3 + 2^2 - 8

= 24 + 4 - 8

= 20.

3 0
2 years ago
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The answer is b because
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Someone plz help (20 points)
lbvjy [14]

Answer:

The answer is A

Step-by-step explanation:


4 0
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