Math Answers

2. The mean height of Grade 11 students at a certain senior high school is 164 cm. and the standard deviation is 10 cm. Assuming that the heights are normally distributed, what percent of the height is

a. greater the 168 cm?

b. less than 150 cm

c. between 150 and 168

D. Consider the following sets:

U= {1, 2, 3, 4, 5, 6, 7, 8, }, A= {1, 2, 3, 4, 5, 7}, B= {1, 5, 6, 7}, C= {1, 2, 3, 6}

16-20. Illustrate the Venn Diagram for the sets A, B, and C.

Four rowers weighing 152, 156, 160, and 164 pounds make up a rowing team. Calculate the sample mean for each of the possible random samples with a size two replacement. They can be used to calculate the sample mean's probability distribution, mean, and standard deviation.

A concerned citizen group claims that 50% of the people in the city A support making beers illegal. Yoi decide to test this claim and ask a random sample of 315 out of 6000 people in the concerned city whether they support making beers illegal, 49% support this law. At 0.05 significance level, is there enough evidence to support this claim?

What is the shape of the sampling distribution of the means if random of size n becomes larger?

Marves wants to have a total of N$4500 in two years so he can take a trip to Harare. He finds an 

account that pays 4% interest compounded monthly.

How much should Marves put into this account so that he’ll have N$4500 at the end of two 

years?

IQ scores for adults are normally distributed with mean of 100 and standard deviation of 15. What percent of adults have IQ scores greater than 130?

With α=.10

α=.10, what are the critical values?

 A rowing team consists of four rowers who weigh 152, 156, 160 and 164 pounds. 

1. How many samples of size n=2 can be drawn from this population ?
2. Construct a table showing all possible samples, mean and probability of each sample.
3. Construct the sampling distribution ( probability distribution ) of the sample means.
4. Draw the histogram of the sampling distribution of the means

1. A political campaign manager wishes to survey a number of voters to estimate

the proportion of those who are in favor of his candidate. If a previous survey

shows that 55% of registered voters plans to vote for his candidate, what is the

minimum sample size required to make his surveys accurate with a 95%

confidence level and a margin of error of 2.5%?