Question

1. A random sample of size 50 will be drawn from a normally distributed population with mean 32 and standard deviation 5. Find P (x̅<30). Round to 4 decimal places. Please show work/steps.

A. 0.0023

B. 0.2660

C. 0.3446

D. 0.7340

2. You are interested in determining the percentage of LBCC students who drive themselves to school. You find that between 35% and 49% of LBCC students drive themselves to school. Find the point estimate. Write your answer as a percent.

Answer 1

1)

Solution :

= / n = 5 / 50

P( 30) = P(( - ) / (30 - 32) / 5 / 50 )

= P(z -2.83)  

= 0.0023

2)

Point estimate = = (35% + 49%) / 2 = 42%