Select the correct answer from the drop-dov 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 random sample drawn from the data set. The sample mean is more than the population mean by

The sample mean is more than the population mean by 3.5

Explanation:

To get the population mean, first add up all the population values

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

Then divide that over 12 as there are 12 values in the population

186/12 = 15.5

The population mean is 15.5

The sample mean is computed the same way

add the values = 11+31+22+12 = 76

Divide the sum by 4 = 76/4 = 19

The sample mean is 19

The sample mean is larger by 19 - 15.5 = 3.5

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;

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734