Question 1      (4 points)

Suppose that we have ratings of a restaurant from a sample of 72 customers. Each of the ratings is either “poor,” “fair,” “good,” or “very good,” Please state and then explain which of the following two options is more suitable to test whether the typical rating is “good”: A hypothesis test for the population mean (like in Chapter 10) or a hypothesis test for the population median (like in Chapter 16)?

Question 2      (6 points)

Suppose that 14 individuals take a two-day course that is supposed to improve their knowledge of Web page design, which is rated as “not proficient,” “proficient,” or “advanced proficient.” Of the 14 individuals in the sample, 12 are rated higher after the course than before, 1 individual is rated lower, and 1 individual’s assessment is unchanged. Using a significance level of 0.05, can we conclude from this information that the course is successful in improving individuals’ knowledge of Web page design?

Late submissions cannot be accepted.
This is an INDIVIDUAL assignment
Do NOT copy, send/transmit or share files with other students. As noted in the syllabus
and the Academic Integrity Code, you are expected to submit your own original work for
assignments in this course. Failure to do so will result in an academic misconduct
investigation.
NOTES:
(1) Please follow ALL instructions (regarding how to format your paper and submission
instructions) carefully failure to do so may affect your grade.
(2) You are required to put your name ON your document, in the header. It is also
good practice to properly name/save the file with assignment name and your last name
(i.e. Smith_StatsAssignment2). No name on paper = no grade
(3) Your submission must be a single WORD document. Please do NOT send pdf, Minitab
or Excel files instead, copy and paste your graphs (along with any work you are
required to show) into Word.
(4) Do NOT submit handwritten or scanned work. Your work must be typed.
(5) Please do not include the questions in your submission file. Answer each question in
order, as provided/instructed, and ensure all answers (and sub-parts) are clearly labelled.
(6) You can override your submission up until the due date/time. Only the last submission
will be downloaded and graded.
Good Luck!
Please complete all questions in order, clearly labelling all responses you
do not need to include question in your response (we just want your
answers!). However, you should show your work/calculations for possible
part marks.
BUSI 1450 Statistics (Winter 2016) Assignment #3 Questions & Instructions
Question 1 (8 marks)
In Canada, the probability of having twins (usually about 1 in 90 births) raises to about 1
in 11 for women who take the fertility drug Clomid. Among a group of 10 pregnant
women, what is the probability that
a) at least one will have twins if none were taking a fertility drug?
b) no more than two will have twins if all were taking Clomid?
c) At least one will have twins if half were taking Clomid?
Question 2 (10 marks)
At-term newborns in Canada vary in weight according to a normal distribution, with
mean of 3650 grams and a standard deviation of 580 grams.
Heavy birth weight (HBW) babies are those weighing over 4500 grams.
a) Approximately how many at-term newborns among the next 10,000 will be HBW babies?
b) Approximately how many at-term newborns among the next 10,000 will be babies
weighting between 3350 and 4350 grams?
c) What is the probability that the average weight for a sample of 10 babies will be less than
3500 grams?
d) One in ten at-birth babies will weigh more than ________? Fill in the blank.
Question 3 (7 marks)
distributed. Give three reasons (from those discussed in this class) for your answer.
Question 4 (10 marks)
The Canadian Transportation Agency maintains statistics for mishandled bags per 1,000
airline passengers. In January West Coast Airlines mishandled 2.10 bags per 1,000
passengers. What is the probability that with the next 1500 passengers, assuming the
same rate for mishandled bags, West Coast Airlines will have:
a) no mishandled bags
b) less than 2 mishandled bags
c) more than 1 and less than 5 mishandled bags
d) How many misplaced bags are expected for the next 1500 passengers?
Question 5 (5 marks)
A hospital has decided to use scratch and win lottery tickets to raise money for a new
building. The tickets will have three squares, with each square to be scratched to reveal
two Wins $1000, and three Wins $25,000. If the hospital sells 5000 tickets and each
ticket costs $100, how much money does the hospital expect to make? Assume the
probability of scratching any square and getting a wing is 0.05.