2060W18_Test3_Version1.pdf - STAT*2060: Statistics for...

STAT*2060: Statistics for Business Decisions
Winter 2018
Term Test 3
Friday, March 23 (3:30pm-4:20pm)
Name:
Student Number:
Email: @uoguelph.ca
• This test contains 8 pages (cover page + 6 question pages + back page blank). Please check this
now!
• There are 6 written response questions, with allotted marks for each question indicated beside
the question number.
• There are a maximum of 18 marks available.
• You are permitted one letter-size, single-sided, hand-written reference sheet, along with a stand-
alone calculator. No other aides are permitted.
• Answer the questions only in the spaces provided. Work not in the spaces provided will not be
marked.
• For questions requiring calculations, show all your work. Answers that are correct but have no
work shown will not receive full marks.
1

1. (4 marks) The calorie count in strawberry yogurt known to follow a normal distribution with a
population standard deviation of 45 calories, while the calorie count in vanilla yogurt is known
to follow a normal distribution with a population standard deviation of 48. A sample of 12
randomly selected yogurts of each type yielded sample mean calorie counts of
¯
X
1
= 172 calories
and
¯
X
2
= 159 calories, respectively.