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1.      A course in elementary statistics was taught using two different methods. One group of 12 students was taught using the conventional classroom procedure. A second group of 10 students was taught the same course but also used individualized programmed material at the end of the semester the same examination was given to each group. The first group had a mean grade of 87 with s=5. Based on the above data can we conclude that there is a significant difference between the two methods of instruction at 5% significance level. 


a computer programming test was given to 50 men and 60 women. The women mean grade was 84, while the men's mean grade was 82. The total population standard deviation was 7. Can we conclude that there was a significant difference between the mean grades for the men and women ib this test?


Write the null and alternative hypothesis of given problem:


    1. It is claimed that the average weight of a bag of biscuit is 250 grams with a standard deviation of 20.5 grams. Would you agree to this claim if a random sample of 50 bags of biscuits showed an average weight of 240 grams, using a 5% level of significance.



Write the null and alternative hypothesis of given problem: ( 10 points)


    1. It is claimed that the average weight of a bag of biscuit is 250 grams with a standard deviation of 20.5 grams. Would you agree to this claim if a random sample of 50 bags of biscuits showed an average weight of 240 grams, using a 5% level of significance.



P(x)=x+1/6 where x=0,1,2.


1. P(x=2)

2. P(x>1)

3. P(<1)

Solution







 find P(-2.31 < Z ≤ 0.82).


if the arithmetic mean and geometric mean of three numbers a,b and c are 19 and 15 respectively. find value of a and b when c=27.

roulette wheel spins with 38 slots: 18 red,18 black, and 2 green. A ball is spun and lands in a slot. Each slot has an equal chance of capturing the ball. roulette wheel spins 3 consecutive times and a ball lands each time on a red slot. What is the probability that the ball will land on a red slot on the next spin?


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A customer relations manager at observes that a teller can serve, on average, 15 clients in an hour. Calculate the probability that the teller serves: 6 clients in a 30 minute period. Interpret your answer. More than 14 but less than 17 clients in a particular hour. Interpret your answer.


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