1. Suppose a student is testing the claim the proportion is below 43 % and correctly finds the test stat is 0.27 select all the other options the student needs to choose to get full marks , assume the significance level is 5%

a.H0: p=0.43 H1:p less than 0.43

b.Reject H0 there is strong evidence the population proportion is above 0.43

c.Do not Reject H0 there is not strong evidence the population proportion is below 0.43

d.H0: p=0.43 H1:p greater than 0.43

2. Suppose a sample of 100 customers spends an average of $132 with standard deviation of $34. Find a 95% confidence interval for the mean if 95% of sample means are within 1.984 estimated standard errors of the population mean when the sample size is 100. select the closest answer

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a.between 128.60 and 135.40

b.between 125.25 and 138.75

c.34

d.between 442.05 and 455.55

e.132

3. Find the 95% confidence interval for proportion of females using the information below if 95% of sample proportions are within 1.96 standard errors of the population proportion.

Suppose you have a sample of 1600 people that buy an Xbox but there are only 327 are female

a.between -0.02 and 0.02

b.between 0.13 and 0.28

c.327.00

d.between 0.18 and 0.22

e.between -0.78 and 1.18

4. Find the sample standard deviation of the sample 2.7 ,5.9

Hint: that the sample mean is 4.3

Answer:

5. Find the standard deviation of the gambling game with probability distribution

X profit	-1	6.3
P(X) probability	0.9	0.1

Hint the population mean is -0.27

Answer: