Arandom sample of 150 towns in a western state had a mean annual precipitation of 2.86 inches. assume that the population standard deviation is known to be 0.78 inches. compute the 95% confidence interval for μ select one: a. 2.51 to 3.53 inches b. 2.74 to 2.98 inches c. 2.43 to 3.79 inches d. 2.31 to 3.88 inches

b. 2.74 to 2.98 inches

Step-by-step explanation:

Confidence Interval can be calculated using M±ME where

And margin of error (ME) can be calculated as

ME= where

Putting the numbers, we get:

ME= ≈ 0.1248

95% Confidence Interval would be 2.86±0.12 or 2.74 to 2.98 inches

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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