Reference no: EM132635758

STAT200 Introduction to Statistics - University Of Maryland

Question 1.) A doctor wishes to estimate the mean triglyceride level of patients two hours after eating a steak dinner. To estimate the mean, you collect data from 22 patients. State the individual, variable, population, sample, parameter, and statistic.

Question 2.) Explain why the relative frequency column of a frequency table might not sum to 1.0.

Question 3.) The Affordable Care Act created a market place for individuals to purchase health care plans. In 2014, the premiums for a 27 year old for the bronze level health insurance are given in the table below. Create a frequency distribution, relative frequency distribution, and cumulative frequency distribution using 6 classes. (All prices in the table are in dollars $)

201	189	203	193	179	181
178	164	177	190	189	205
199	174	195	191	180	197
156	203	175	202	170	179
200	202	204	184	203	199
188	198	194	208	206	205

Question 4.) Students in Stat 200 took their first exam. The scores are located in the table below. Create a frequency distribution and histogram for the data using class limits that make sense for the data. Describe the shape of the distribution.

99	86	93	84	86
80	84	93	82	75
73	92	100	90	97
100	71	60	77	85

Question 5.) Find the mean, median, range, variance and standard deviation of the data set below. The data represent the fixed monthly costs for Sam's Linen Service.

Monthly charges	Monthly cost ($)
Bank charges	482
Cleaning	2208
Food	1750
Computer expenses	2471
Lease payments	2656
Grounds fees	1475
Postage	2117
Uniforms	2600
Delivery fuel	955

Question 6.) You pick 3 cards from a deck without replacing a card before picking the next card. What is the probability that all 3 cards are hearts?

Question 7.) The 2010 U.S. Census found the chance of a household having a certain number of pets. The data is in the table below.

# of pets	0	1	2	3	4	5 or more
Probability	15.5%	22.8%	26.4%	18.5%	10%	6.8%

Is it unusual for a household to have 4 pets? Show all work.

Question 8.) Suppose a random variable, x, arises from a binomial experiment. Suppose n = 8 and p = 0.62.
a.) Write the probability distribution.
b.) Draw a histogram.
c.) Describe the shape of the histogram.
d.) Find the mean.
e.) Find the variance.
f.) Find the standard deviation.

Question 9.) The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed.
a.) State the random variable.
b.) Find the probability that a starting teacher will make more than $60,000.
c.) Find the probability that a starting teacher will make less than $50,000.
d.) Find the probability that a starting teacher will make between $52,000 and $59,500.
e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?

Question 10.) The following table contains cholesterol levels of 32 people. Determine if the sample comes from a population that is normally distributed. Draw a histogram, identify potential outliers, and draw the normality plot.

160	200	172	196	170	181	190	185
210	180	162	184	185	212	186	182
260	175	203	181	190	203	184	193
199	160	210	204	198	188	201	190