Question

# Part A: In a recent survey of 130 WMU graduates, 11 students said that parking was...

Part A: In a recent survey of 130 WMU graduates, 11 students said that parking was too limited on campus. What is the estimate of the population proportion? What is the standard error of this estimate?

Question options:

 1) Estimate of proportion: 0.0846, Standard error: 0.0021.
 2) Estimate of proportion: 0.0846, Standard error: 0.0244.
 3) The true population proportion is needed to calculate this.
 4) Estimate of proportion: 0.9154, Standard error: 0.0021.
 5) Estimate of proportion: 0.9154, Standard error: 0.0244.

Part B: Suppose that in the United States the typical adult male is 67.98 inches tall with a standard deviation of 6.718. You take a random sample of 50 adult males. What is the probability that the mean height of the sample is less than 67.18?

Question options:

 1) 0.2946
 2) 0.8001
 3) 0.5474
 4) 0.4526
 5) 0.1999

A) The estimate of the population proportion() = 11/130 = 0.0846

Standard error = sqrt((1 - )/n)

= sqrt(0.0846 * (1 - 0.0846)/130)

= 0.0244

Option - 2 is correct.

B) P( < 67.18)

= P(( - )/() < (67.18 - )/())

= P(Z < (67.18 - 67.98)/(6.718/))

= P(Z < -0.842)

= 0.2000

Option - 5 is correct.