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2.) Which is NOT a possible alternative hypothesis?

A.)	The mean is less than the null hypothesis.
B.)	The mean is greater than the null hypothesis.
C.)	The mean is equal to the null hypothesis.
D.)	The mean is different than the null hypothesis

2A.)Soda Tak claims that Diet Tak has 40mg of sodium per can. You work for a consumer organization that tests such claims. You take a random sample of 60 cans and find that the mean amount of sodium in the sample is 42.4mg. The population standard deviation in all cans is 5.2mg. You suspect that there is more than 40mg of sodium per can. Find the z-score.

A.)	1.785
B.)	2.582
C.)	3.575
D.)	5.143

2C.)

Which statement below is NOT true about Error Types?

A.)	A Type I error is when a true null hypothesis is incorrectly rejected
B.)	A Type II error is when a false null hypothesis fails to be rejected.
C.)	A Type I error is denoted by the Greek letter Alpha.
D.)	A Type II error is denoted by the Greek letter Omega.

2D.)

You know the mean and standard deviation of a population. You take a sample from this population and compute the 90% CI for the mean. This interval contains values that are within how many standard deviations of the mean?

A.)	0.90
B.)	1.49
C.)	1.65
D.)	1.83

3.)

Which below is a reasonable rule of check in order to use t-procedures when the sample size is 15 < n < 40?

A.)	The sample distribution should be pretty normal. There should not be any outliers and very little skewness.
B.)	There should not be any large outliers and there should not be extreme skewness.
C.)	The sample size is large enough to use t-procedures regardless.
D.)	There is no reasonable rule for checking a sample size of this size.

3B.)

Find the 95% confidence interval for the population mean when the population standard deviation is 4. The sample mean is 6. We assume that the population has a normal distribution. Ten items are taken in the sample.

a.)	3.52 to 8.48
B.)	2.74 to 9.26
C.)	3.56 to 8.44
D.)	4.14 to 7.86

3C.)

You test calories for a food item. The brand name has a mean of 158.706 and a sample standard deviation =25.236, when seventeen are tested. The generic item has a mean of 122.471 and a sample standard deviation =24.583, when seventeen are tested. Which is a confidence interval of 95%?

A.)	17.21 to 55.26
B.)	17.79 to 54.67
C.)	17.90 to 54.57
D.)	18.83 to 53.64

3D.)

Your younger brother is getting stickers from a vending machine at the local supermarket. What is the proportion that a sticker has the message 'Girls Rule'? Let's take a sample to try to determine this. let's say the vending machine stickers represent a random sample of size n from the population of these stickers.

In the machine you count 6 of them with the message 'Girls Rule' among the 36 total stickers. Which is 95% confidence interval when dealing with proportions?

A.)	0.0249 to 0.3421
B.)	0.0391 to 0.2981
C.)	0.0413 to 0.2725
D.)	0.0449 to 0.2884

4A.)

There is a new treatment for smokers to stop smoking. In an experiment, 85% of 240 smokers quit after 10 days of the treatment. What is the reasonable range for the success rate p of our new treatment? Which is the 95% confidence interval?

A.)	0.755 to 0.845
B.)	0.8096 to 0.8904
C.)	0.8048 to 0.8952
D.)	0.749 to 0.851

4B.)

Which is the size of the sample needed in order to obtain a margin of error of 3.2% in a 95% CI for p? That is, we want a proportion plus or minus 3.2%.

A.)	600
B.)	702
C.)	784
D.)	938

4C.)

In a survey done about voting and gender, it was found that 93 of 200 males voted in a recent election while 124 of 220 females voted. What is the difference between the proportion of females who vote and the proportion of males who vote? That is, which is a 95% confidence interval for the difference?

A.)	0.225 to 0.402
B.)	0.095 to 0.282
C.)	0.044 to 0.233
D.)	0.003 to 0.194

4D.)

Hotdog toppings in a box are mixed in a large tray near the customer service area. The packets include 13 ketchup, 14 mustard, 10 BBQ, and 11 relish. When completing a goodness of fit, what are the degrees of freedom?

A.)	1
B.)	2
C.)	3
D.)	4