Embedded Files
There is typically a whole question (six sub-questions) about normally distributed data.
In these practice exams, it is Question One.
Practice Exam 1 (Coffee)
Practice Exam 1 (Coffee)
91267-exm-1.pdf91267-qop-1.pdfQUESTION ONE
QUESTION ONE
A café called Dolce Forte carefully monitors the amount of coffee used in a standard coffee drink.
They know that the amount of coffee used for a standard coffee drink is normally distributed with a mean of 7 grams and a standard deviation of 0.3 grams.
(a) Calculate the probability that between 7 and 7.5 grams of coffee is used to make a standard coffee drink.
(b) Dolce Forte make 2,400 standard coffee drinks one weekend. Estimate how many of these use less than 6 grams of coffee.
(c) What is the minimum amount of coffee that 80% or more of standard coffee drinks use?
(The wording of this question has been tweaked slightly)
(d) The manager of Dolce Forte claims that 95% of their standard coffee drinks contain between 6.5 and 7.5 grams of coffee.
Evaluate the accuracy of her claim.
(e) Alexa is a new staff member is being trained at Dolce Forte café. The manager weighs the amount of coffee Alex uses to make 200 standard coffee drinks during her first two shifts.
The amounts of coffee are shown in the plot on the right.
Frequencies are shown the table below.
(i) Calculate the percentage of standard coffee drinks that Alexa made with less than 7 grams of coffee during her training.
(ii) The manager of Dolce Forte would like the amount of coffee that Alexa uses to be closer to other staff, who continue to use an amount normally distributed with mean of 7 grams and standard deviation of 0.3 grams.
Compare the distribution of the amount of coffee that Alexa uses (shown on the previous page) to the amount used by other staff and suggest how she should try to change the way she makes each standard coffee drink.
Now try other practice exams: Resources
Now try other practice exams: Resources
Google Sites
Report abuse