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Suppose you sample 2students from every classroom where a class is being held at CCNY at around 12PM and gather data on their currentGPAs. Research

Suppose you sample 2students from every classroom where a class is being held at CCNY at around 12PM and gather data on their currentGPAs. Research from CCNY says that theaverage GPA is 2.9 with a standard deviation of 0.8. Suppose this is true. What is the probability that a random sample of 16 students will have a sample mean of 2.8 or less?

a.

22%

b.

99%

c.

Cannot be solved since the sampling distributioncannot be established.

d.

None of these

e.

31%

Which of the following is true about the t-distribution? Assume a reference (random) sample of size 100 with sample mean 10 and sample standard deviation of 1 with unknown population mean and variance.

a.

None of these

b.

The t-distribution will look similar to the standard normal distribution as the sample size increases which results in the degrees of freedom increasing.

c.

The t-distribution will look similar to the normal distribution with mean 10 and standard deviation 1 as the sample size increases which results in the degrees of freedom increasing.

d.

The t-distribution will look similar to the normal distribution with mean 10 and standard deviation 1 as the sample size increases which results in the degrees of freedom decreasing.

e.

The t-distribution will look similar to the standard normal distribution as the sample size increases which results in the degrees of freedom decreasing.

Apple wants to runads for its new iPhone. Based on a survey conducted, Apple assigned probabilities to the following events:individual purchased an iPhone with a probability of 55%,individual recalls seeing the ad with a probability 65%, and individual did not purchase the iPhone nor recalls seeing the ad with a probability of 35%. What is the probability that the individual recalls seeing the ad or purchases the iPhone?

a.

60%

b.

65%

c.

45%

d.

30%

e.

None of these

The following data set is of the average (just treat this as a regular data set...do not over think the fact that this is a data set of averages) number of three-point shots Stephen Curry made each season of his career:

2.1 2 2.1 3.5 3.3 3.6 5.1 4.1 4.2 5.1 2.4 5.3 5.4

What is the z-score of 2.4?

a.

-1.06

b.

-0.96

c.

0.96

d.

1.06

e.

None of these

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