Question
In: Statistics and Probability
1) You study the number of cups of coffee consumer per day by students and discover...
1) You study the number of cups of coffee consumer per day by students and discover that it follows a discrete uniform probability distribution with possible values for x of 0, 1, 2 and 3.
What is the expected value of the random variable x?
2) The weight of cats is a continuous random variable and has a normal distribution with a mean of 10.27 pounds and a standard deviation of 4.26 pounds.
What is the probability that a randomly chosen cat weighs exactly 11.327 pounds?
3) A florist looks at his sales and discovers that the probability that a randomly selected flower sold is a rose is 0.40.
The probability that a randomly selected flower sold is white is 0.10.
The probability that a randomly selected flower sold is a white rose is 0.03.
Given that a randomly selected flower sold is white, what is the probability that it is also a rose?
4) During the past five years, the probability that a California consumer has bought a burrito (event B) is 0.70 and the probability that a California consumer has bought a Honda (event H) is 0.10.
The probability that a California consumer has bought both a burrito and Honda in the past five years is 0.05.
Are the purchases of burritos and Hondas in the past five years among California consumers independent events?
Solutions
orchestra answered 1 year agoRelated Solutions
. Average coffee consumption among graduate students is commonly known to be 3.89 cups per day....
. Average coffee consumption among graduate students is commonly
known to be 3.89 cups per day. A graduate student took a sample of
10 fellow graduate students in her statistics class, and in the
sample produced a mean of 4.02 cups per day and a standard
deviation of .19. Because of this, she believes that the average is
actually greater than what is commonly thought (3.89 cups per day).
Do we believe the graduate student’s claim or the common belief?...
You are presently selling 500 cups of coffee per day at $1.200 per cup. You want...
You are presently selling 500 cups of coffee per day at $1.200
per cup. You want to increase sales by dropping the price to $0.80
per cup. The Price Elasticity of Demand is -2.4.
a) What is your expected new level of sales?
b) Compare Total Revenue before and after the change in
price.
c) How would you characterize this product?
2. You are presently selling 500 cups of coffee per day at $1.200 per cup. You...
2. You are presently selling 500 cups of coffee per day at
$1.200 per cup. You want to increase sales by dropping the price to
$0.80 per cup. The Price Elasticity of Demand is -2.4.
What is your expected new level of sales?
Compare Total Revenue before and after the change in
price.
How would you characterize this product?
3. A deli across the street drops the price of their coffee from
$1.50 per cup to $1.25 per cup. The...
A study of 45 students revealed that they drank an average of 2.1 cups of coffee...
A study of 45 students revealed that they drank an average of
2.1 cups of coffee each day, and the sample standard deviation was
found to be 1.1 cups of coffee. (a) Construct a 99% confidence
interval for the average number of cups of coffee a college student
drinks each day. (b) Construct a one-sided 98% confidence interval
with a left endpoint for the average number of cups of coffee a
college student drinks each day.
Suppose the coffee industry claimed that the average adult drinks 1.7 cups of coffee per day....
Suppose the coffee industry claimed that the average adult
drinks 1.7 cups of coffee per day. To test this claim, a random
sample of 50 adults was selected, and their average coffee
consumption was found to be 1.9 cups per day. Assume the standard
deviation of daily coffee consumption per day is 0.5 cups using a
significant level of 0.01
A. The z-test statistic is =
(round to two decimal places)
B. The critical z-score(s) are= (round to two decimal...
Suppose the coffee industry claimed that the average adult drinks 1.7 cups of coffee per day....
Suppose the coffee industry claimed that the average adult
drinks 1.7 cups of coffee per day. To test this claim, a random
sample of 60 adults was selected, and their average coffee
consumption was found to be 1.85 cups per day. Assume the standard
deviation of daily coffee consumption per day is 0.4 cups. Using
alpha α=0.10, complete parts a and b below.
a. Is the coffee industry's claim supported by this
sample?
Determine the null and alternative hypotheses.
H0:...
Amount of Prepaid Card ($) Age Days per Month at Starbucks Cups of Coffee per Day...
Amount of Prepaid Card ($)
Age
Days per Month at Starbucks
Cups of Coffee per Day
Income ($1,000)
5
25
4
1
20
25
30
12
5
35
10
27
10
4
30
5
42
8
5
30
15
29
11
8
25
50
25
12
5
80
10
50
8
3
30
15
45
6
5
35
15
32
16
7
25
15
23
10
1
20
20
40
18
5
40
35
35
12
3
40
40
28...
A consumer survey has derived the following probability distribution for the number of coffee cups drunk...
A consumer survey has derived the following probability
distribution for the number of coffee cups drunk per day
no. of cups
0
1
2
3
4
5
6
7
>7
male
0.40
0.34
0.12
0.05
0.04
0.03
0.01
0.01
0.00
female
0.47
0.35
0.08
0.06
0.02
0.01
0.01
0.00
0.00
(a) Separately for each gender, what is the probability of
drinking more than two cups per day?
Male:
Female:
(b) Calculate for each gender the average number of cups of...
4. In a study of caffeine and stress, college students indicate how many cups of coffee...
4. In a study of caffeine and stress, college students indicate
how many cups of coffee they drink per day and their stress level
on a scale of 1 to 10 (with higher scores indicating greater
stress). Data is collected from a sample of 10 students. The
Pearson correlation coefficient for the relationship between these
2 variables is r = .43.
(a) Set up your hypotheses using the correct notation
(b) What statistical decision should the researcher make?
JUSTIFY YOUR...
In a study, you measure how many cups of coffee a random sample of 10 college...
In a study, you measure how many cups of coffee a random sample
of 10 college students drink per day and their stress levels and
obtain the following data:
Participant
Cups of Coffee
Stress Level
1
3
40
2
4
30
3
1
50
4
5
90
5
6
50
6
4
30
7
7
100
8
1
10
9
2
20
10
0
70
Construct a scatterplot of the data (using a graph from Excel,
another computer program that...
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