Day Monday Tuesday Wednesday Thursday Friday Number of
customers
254 199 210 297 276
Here is the information the researcher identified:
H0: The number of customers using the BMI machine is the same for all 5
days of the week.
H1: The number of customers using the BMI machine is not the same for all 5
days of the week.
Level of significance is 5%
Test statistic = 28.51
Your job is assist the researcher by calculating the critical values to determine
the rejection and rejection region and to state the conclusion based on your
findings (6 marks)
Section B(ii)
Question 4 (20 marks)
Surfer Dude swimsuit company plans to produce a new line of quick-dry
swimsuits. Four textile companies are competing for the company’s quick-dry
fabric contract. To check the fabrics of the four companies, Surfer Dude
selected 10 random swatches of fabric from each company, soaked them with
water, and then measured the amount of time (in seconds) each swatch took
to dry when exposed to sun and a temperature of 80 F. The following table
contains the amount of time (in seconds) each of these swatches took to dry.
Company Time in seconds
A 756 801 750 777 772 768 812 770 743 824
B 791 696 761 760 741 810 770 823 815 845
C 773 794 773 740 780 801 794 719 776 743
D 760 723 699 756 834 791 742 739 801 724
You are required to conduct a hypothesis test using the ANOVA method to
decide whether the mean drying times for all fabrics produced by the four
companies are the same. You can use either excel or formulae to answer this
question.
Note: If using excel, summit a copy of the ANOVA output with your answer.
a) Write the null and alternative hypotheses. (2 mark)
b) What are the degrees of freedom for the numerator and the
denominator? (2 marks)
c) Calculate SSB, SSW, and SST. (4 marks)
d) Show the rejection and non-rejection regions on the F distribution curve
for α = .01. (2 mark)