The following data represent a random sample of the ages of players in a baseball league. Assume that the population is normally distributed with a standard deviation of 1.8 years. Find the 95% confidence interval for the true mean age of players in this league. Round your answers to two decimal places and use ascending order.

Age: 32, 24, 30,34,28, 23,31,33,27,25

Step-by-step explanation:

n = 10

Mean, m = (32 + 24 + 30 + 34 + 28 + 23 + 31 + 33 + 27 + 25)/10

= 28.7

From the information given,

Standard deviation, s = 1.8

For a confidence level of 95%, the corresponding z value is 1.96.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

28.7 ± 1.96 × 1.8/√10

= 28.7 ± 1.12

The lower end of the confidence interval is 28.7 - 1.12 = 27.58 years

The upper end of the confidence interval is 28.7 + 1.12 = 29.82 years

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: