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Fayech University claims that the mean GPA of night students is approximately normally distributed with mean 3.3 with a population standard deviation of 0.04. We wish to test the claim that the mean GPA of night students is significantly different than 3.3 at the 0.05 significance level.  Based on a sample of 55 people, we find the sample mean GPA was 3.33. The null and alternative hypothesis would be: [a] Type the letter of the correct option in the box above. A B C D E F The test is: [b] Type the letter of the correct option in the box above. A B C two-tailed left-tailed right-tailed The test statistic is [d] (to 2 decimals) The critical value is:  [e] (to 2 decimals) Draw a picture of this graph on your scratch paper.  I will grade the graph after you upload your work. [c] Based on this we [f] A B Fail to reject the null hypothesis Reject the null hypothesis  

In a lottery game, a player picks 7 numbers from 1 to 50. How many different choices does the player have if order doesn’t matter? There are [a] choices to pick for the lottery. 

According to Bloomberg News, in 2011 the average annual salary for a player in the National Hockey League (NHL) were $780,000 and $1,800,000, although not necessarily in that order.  Which of these numbers, $780,000 and $1,800,000, is the mean and which is the median? Give a reason for your answer.

What does Jesus’s parable of the laborers in the vineyard (all hired at different hours) tell the reader about God’s character?

A group was tested for drugs. The table shows the results of the test along with actual drug use. Let D = event “Used Drugs”, N = event “No Drug Use”, + be “Test positive”, and finally – be “Test negative”Round each answer to 4 decimal places. (D or +) = [a] (N and +) = [b] (N | +) = [c] (+ | N) = [d]

The table below shows the head size of 30 male soldiers in inches. The head size was measured by wrapping a tape measure around the solder’s head. Construct a stem plot for the head size data set. If a stem has no corresponding leaves, put a dash, like this – .                                     Stems Leaves 24 [a] 25 [b] 26 [c] 27 [d] 28 [e] 29 [f] 30 [g] 31 [h] 32 [i]

Which of Jesus’s teachings prompted Nicodemus to say, “How can a man be born when he is old? Can he enter his mother’s womb a second time and be born?”

Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below. What is the sample size for this data set? [a]  

Read and answer the following question. If a calculation is not possible, type NA. The population of weights for men attending a local health club is normally distributed with a mean of 183 lbs and a standard deviation of 26 lbs. An elevator in the health club is limited to 35 occupants, but it will be overloaded if the total weight is in excess of 6860 lbs.Assume that there are 35 men in the elevator. What is the average weight per man that, beyond which, the elevator would be considered overloaded? average weight = [a] lbs What is the probability that one randomly selected male health club member will exceed this weight? P(one man exceeds) = [b] round to 2 decimal places If we assume that 35 male occupants in the elevator are the result of a random selection, find the probability that the elevator will be overloaded? P(elevator overloaded) = [c] round to 4 decimal places

Find the z-score for the given shaded region under the standard normal distribution. Round your answer to two decimal places. z-score =