A company that sells annuities must base the annual payout on the distribution of the length of life of the participants in the plan.  Suppose the distribution of the lifetimes of male participants is approximately normal with a mean of 68 years and a standard deviation of 3.5 years. a) What is the probability that a male participant would die before reaching the standard retirement age of 65? b) At what age have the payments ceased for approximately 90% of the male plan participants?

A company that sells annuities must base the annual payout on the distribution of the length of life of the participants in the plan.  Suppose the distribution of the lifetimes of male participants is approximately normal with a mean of 69 years and a standard deviation of 3.8 years. a) What is the probability that a male participant would die before reaching the standard retirement age of 65? b) At what age have the payments ceased for approximately 95% of the male plan participants?

A drug manufacturer produces an antibiotic in large fermentation vats (containers).  To determine the average potency for the batch of antibiotic being prepared, the vat is sampled at 9 randomly selected locations.  The 9 potency readings have the mean of 8.7 and the standard deviation of 0.36.  The sample data are obtained using simple random sampling.  Also, assume that the potency readings follow a normal distribution. a) Construct a 95% confidence interval estimate for the population mean potency reading for the vat.  Also interpret the confidence interval. b) The target potency level for this antibiotic is to be 9.0.  Use the confidence interval in part (a) to answer the following question and explain how you determined your answer. “Is there evidence at 5% significance level to say the mean potency level for this vat differs from 9.0?”  Explain.

The data below show the age and favorite type of reading of 779 randomly selected people.  Test the claim that age and preferred reading type are independent.  Use 

Let  X  be the random variable representing the number of parking tickets issued in 1 hour on a weekday for a city.  The probability distribution of  X  is given below. a) Find the missing probability in the above table. b) What is the probability that in a particular weekday hour, there will be at least three tickets issued? c) Find the expected number of tickets issued hourly for a weekday.

A survey found that 27 of 81 people who don’t drink coffee often have trouble sleeping and 29 of 76 coffee drinkers often have trouble sleeping.  Construct and interpret a 99% confidence interval of the difference between the proportion of non-coffee drinkers who have trouble sleeping and the proportion of coffee drinkers who have trouble of sleeping.

The total number of phone calls a sales representative makes in a month is 425 is an example of which type of variable?

The lengths/heights (in inches) of the 10 babies and toddlers in a small day care group are listed below. 21        22        24        25        26        27       27        28        31        44 a) Find the mean and the standard deviation. b) Find the quartiles (Q1, Q2, Q3).

============== For this Honorlock part, please enter the final answer for part (a). Remember, you still need submit your full work in “Final (part 1) upload” as PAGE 3.

Short Answer Instructions: (40% – 10 pts each)  PLEASE READ CAREFULLY  To complete this section, you must pick and answer ANY FOUR OUT OF THE TEN SHORT ANSWER QUESTIONS below (4 out of 10). This means you get to choose ANY FOUR from the ten question options you see below. I highly encourage you to choose whichever four you feel most confident in answering **(ignore individual question point values for this section as they will be adjusted during grading – all ten question options are each worth 10 points). Short answers should be around 2-4 sentences, but it’s completely fine if they go a little over. Answers should provide the key information of who, what, where, when, and especially “why” the subject is historically significant. Try to include as much detail and specificity as you can and make sure you are answering all parts of the question. The expectation is that each of these short answer definition questions will take 8-10 minutes.