Reference no: EM132155560

1) Calculate P(-0.3 < z < 2.6) (4 decimal places)

2) Determine the z-score value with 17.1% of standard normal curve lying to the right of z. (3 decimal places)

3) A random sample of 250 students is taken from a population of 4,000 students at the State University for which the overall proportion of males is 0.3.  Verify whether the sampling distribution for the proportion of male students is normally distributed. 

• The distribution is approximately normal
• The distribution is not normal because np(1-p) <10
• The distribution is not normal because n>0.05N
• The distribution is not normal because np(1-p) >10

4) A random sample of 125 students is taken from the population of all part-time students in the United States, for which the overall proportion of females is 0.6. Verify whether the sampling distribution for the proportion of female part-time students is normally distributed.  

• The distribution is not normal because np(1-p) >10
• The distribution is not normal because n>0.05N
• The distribution is approximately normal.
• The distribution is not normal because np(1-p) <10

5) In the game of? roulette, a wheel consists of 38 slots numbered? 0, 00,? 1, 2,..., 36. To play the? game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you? selected, you win? $35; otherwise you lose? $1. Complete parts ?(a) through ?(g) below.

a)) Construct a probability distribution for the random variable? X, the winnings of each spin.ed slots. If the number of the slot the ball falls into matches the number you? selected, you win? $35; otherwise you lose? $1.

X P(x)

35

-1

b) Suppose that you play the game 100 times, so n=100

What are the mean and standard deviation of the sampling distribution of x overbar

6) A random sample of 25 students is taken from the population of all part-time students in the United States, for which the overall proportion of females is 0.6.  Verify whether the sampling distribution for the proportion of part-time female students is normally distributed. 

• The distribution is approximately normal
• The distribution is not normal because n>0.05N
• The distribution is not normal because np(1-p)>10
• The distribution is not normal because np(1-p) <10