Question
In: Statistics and Probability
Problem 1: The same group of people rated both brands of coffee. Half of the subjects...
Problem 1: The same group of people rated both brands of coffee. Half of the subjects tasted brand A first. Half of the subjects tasted brand B first.
Subject. coffee a. coffee b
1 8 6
2 8 7
3 6 7
4 7 5
5 6 5
6 8 7
7 8 8
8 5 6
9 8 7
10 6 5
Is there a difference in the mean ratings between the two brands of coffee (use an alpha .05)?
You must use all five steps in hypothesis testing:
- Restate the question as a research hypothesis and a null hypothesis about the populations.
- Determine the characteristics of the comparison distribution.
- Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected.
- Determine your sample’s score on the comparison distribution.
- Decide whether to reject the null hypothesis.
Solutions
orchestra answered 2 years agoRelated Solutions
Nine experts rated two brands of Colombian coffee in a taste-testing experiment. A rating on a...
Nine experts rated two brands of Colombian coffee in a
taste-testing experiment. A rating on a 7-point scale ( 1=1= 1
equals extremely unpleasing, 7=7= 7 equals extremely pleasing) is
given for each of four characteristics: taste, aroma, richness, and
acidity. The following data stored in Coffee
contain the ratings accumulated over all four characteristics:
BRAND
EXPERT
A
B
C.C.
24
26
S.E.
27
27
E.G.
19
22
B.L.
24
27
C.M.
22
25
C.N.
26
27
G.N.
27
26...
Nine experts rated two brands of Colombian coffee in a taste-testing experiment. A rating on a...
Nine experts rated two brands of Colombian coffee in a
taste-testing experiment. A rating on a 7-point scale ( 1=1= 1
equals extremely unpleasing, 7=7= 7 equals extremely pleasing) is
given for each of four characteristics: taste, aroma, richness, and
acidity. The following data stored in Coffee
contain the ratings accumulated over all four characteristics:
BRAND
EXPERT
A
B
C.C.
24
26
S.E.
27
27
E.G.
19
22
B.L.
24
27
C.M.
22
25
C.N.
26
27
G.N.
27
26...
Nine experts rated two brands of coffee in a taste-testing experiment. A rating on a 7-point...
Nine experts rated two brands of coffee in a taste-testing
experiment. A rating on a 7-point scale (1equals extremely
unpleasing, 7equals extremely pleasing) is given for each of
four characteristics: taste, aroma, richness, and acidity. The
accompanying data table contains the ratings accumulated over all
four characteristics. Complete parts (a) through (d) below.
Expert Brand A Brand B
C.C. 25 26
S.E. 26 26
E.G. 19 22
B.I. 22 24
C.M. 19 21
C.N. 25 26
G.N. 27 26
R.M....
2. Nine experts rated two brands of Colombian coffee in a taste-testing experiment. A rating on...
2. Nine experts rated two brands of Colombian coffee in a
taste-testing experiment. A rating on a 7-point scale (1=extremely
unpleasing, 7 = extremely pleasing) is given for each of four
characteristics: taste, aroma, richness, and acidity. The following
data contain the ratings accumulated over all four
characteristics:
̅̅̅
BRAND
EXPERT
A
B
C.C.
24
26
S.E.
27
27
E.G.
19
22
B.I.
24
27
C.M.
22
25
C.N.
26
27
G.N.
27
26
R.M
25
27
P.V.
22
23...
Two women in a group of 25 people shared the same name and the same birthday....
Two women in a group of 25 people shared the same name and the
same birthday. Discuss whether this is a surprising result. Do you
think it is more likely that you will find a pair of people in a
room of 25 who share a first name or a pair of people who share a
birthdate?
Cups of coffee and donuts are complements. Both have inelastic demand. A hurricane destroys half the...
Cups of coffee and donuts are
complements. Both have inelastic demand. A hurricane destroys half
the coffee bean crop. Use clearly labeled diagrams to answer the
following questions:
a. What happens to the price of
coffee?
b. What happens to the price of a cup
of coffee? What happens to total revenue for cups of
coffee?
c. What happens to the price of
donuts? What happens to total revenue for donuts?
Draw your own graphs on a piece
of paper...
PROBLEM 6. Suppose that the birthdays of different people in a group of n people are...
PROBLEM 6. Suppose that the birthdays of different people in a
group of n people are independent, each equally likely to be on the
365 possible days. (Pretend there's no such thing as a leap
day.)What's the smallest n so that it's more likely than not that
someone among the n people has the same birthday as you? (You're
not part of this group.)
5. Two brands of coffee were compared. Two independent random samples of 50 people each were...
5. Two brands of coffee were compared. Two independent random
samples of 50 people each were asked to taste either Brand A or
Brand B coffee, and indicate whether they liked it or not. Eighty
four percent of the people who tasted Brand A liked it; the
analogous sample proportion for Brand B was ninety percent.
(A) [8] At α = 0.01, is there a significant difference in the
proportions of individuals who like the two coffees? Use the
p-value...
In an investigation, you want to know if people in Group A and B has same...
In an investigation, you want to know if people in Group A and B
has same height on average. (Total number of people 100)
A" (average height of group A)
165.0
B" (average height of group B)
185.0
D" (average of height differences of bwtween a person in A and a
person in B)
-0.4
sA (sample standard deviation)
4.4
sB (sample standard deviation)
3.2
sD (sample standard deviation)
2.3
1 Write down hypotheses and test should conduct? Please define...
Determine the probability that in a group of 5 people, at least two share the same...
Determine the
probability that in a group of 5 people, at least two share the
same birth month. Assume that all 12 months are equally
likely to be someone’s birth month.
a) How many choices are there for the birth months of these 5
people (without any restrictions)?
b) How many choices are there for the 5 people to have all
different birth months?
c) Report the probability that in a group of 5 people, at least
two share the...
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