Arandom sample of n = 64 observations has a mean x = 29.9 and a standard deviation s = 3.7.

(a) give the point estimate of the population mean μ. find the 95% margin of error for your estimate. (round your answer to four decimal places.)
(b) find a 90% confidence interval for μ. (round your answers to three decimal places.)

(29.128,30.672)

Step-by-step explanation:

Given that a random sample of n = 64 observations has a mean x = 29.9 and a standard deviation s = 3.7.

a) the point estimate of the population mean μ.

= Sample mean = 29.9

For 90% we use t critical value since population standard deviation is not known.

T critical for 90% is 1.669

Margin of error = ±

b) Confidence interval 90%

= Mean±Marginof error

=

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d