In: Statistics and Probability

A personal trainer is interested in the typical physical activity of her clients. She asked a sample of her customers how many hours of exercise they get each week, and recorded the data below. Describe her findings using everything you've learned about measures of central tendency, measures of variability, and describe the shape of the distribution

х= 2, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8

measures of central tendency: Mean , Median and Mode

Measures of variability: Range, Interquartile Range and standard deviation

Mean is larger than the median, so it is positively skewed

Formula Ref:

Kim, a personal trainer, was interested in whether or not there
was a linear relationship between the number of visits her clients
made to the gym each week and the average amount of time her
clients exercised per visit. She took the following data. Client 1
2 3 4 5 6 Number of visits per week 1 3 4 2 3 5 Average time spent
exercising per visit (hours) 2 1.5 1 2 2 0.30 a) Find the
correlation coefficient...

A physical trainer has four workouts that he recommends for his
clients. The workouts have been designed so that the average
maximum heart rate achieved is the same for each workout. To test
this design he randomly selects twenty people and randomly assigns
five of them to use each of the workouts. During each workout, he
measures the maximum heart rate in beats per minute with the
following results. Can the physical trainer conclude that there is
a difference among...

A fitness trainer is interested in investigating whether
ethnicity and the first exercise activity that members engage in
are dependent. The table below shows the results of the trainer's
observation of randomly selected members.
Frequencies of Ethnicity and Exercise Activity
CardioWeight MachinesFree Weights
White849487
Hispanic868887
Black525351
Other656857
What can be concluded at the = 0.01 significance
level?
What is the correct statistical test to use?
Independence
Paired t-test
Homogeneity
Goodness-of-Fit
What are the null and alternative hypotheses?
Ethnicity and first exercise...

A fitness trainer is interested in investigating whether
ethnicity and the first exercise activity that members engage in
are dependent. The table below shows the results of the trainer's
observation of randomly selected members. Frequencies of Ethnicity
and Exercise Activity Cardio Weight Machines Free Weights White 88
82 88 Hispanic 86 82 95 Black 44 57 63 Other 60 41 48 What can be
concluded at the alpha = 0.01 significance level? What is the
correct statistical test to use?...

A fitness trainer is interested in investigating whether
ethnicity and the first exercise activity that members engage in
are dependent. The table below shows the results of the trainer's
observation of randomly selected members.
What can be concluded at the 0.05 level of significance?
Cardio
Weight
Machines
Free Weights
White
87
52
55
Hispanic
41
20
17
Black
36
19
11
Other
28
16
7
Helpful Video (Links to an external site.)
Hint (Links to an external site.)
Textbook Pages...

Celine is an analyst for a money management firm. She is asked
by her supervisor to estimate the intrinsic value of the common
stocks of Pacific Basin Corporation (PBC), so she collects the
following information on PBC.
Year
Dividend per share
2019 $1.2
2020 $1.5
2021 $1.8
2022 $2.2
2023 $2.4
She forecasts that the price/earnings ratio for the year 2024
will be 20. In addition, the forecast earnings for the year 2024
are $6.4 per share. The expected market...

Q2. Elaine is a typical student and she spends her $200
allowance on beer (X) and books (Y). Her utility function is given
by U = 20 XY and PX = $2 and PY = $5.
(d) Calculate Elaine’s elasticity of demand for beer and her
cross-price elasticity of demand for books with respect to the
price of beer.
(e) Sketch Elaine’s demand curve for beer using at least four
price-quantity demanded combinations.

A personal care worker is asked by a client about what she can
expect now that she has been diagnosed with Parkinson’s disease.
The PCW’s father had died of Parkinson’s so she felt well qualified
to tell her all about the disease and what she could expect. She
told her each of the stages that her father had gone through. The
client seemed very overwhelmed but the PCW was happy that she had
been able to explain things clearly for...

1. Your Aunt has asked you to with her finances. Explain
to her why she should establish a budget and what information she
needs.
2. After taking your advice your Aunt starts a budget. A
few months into the process she is having a hard time sticking to
her budget. Explain why she may be having issues and identify
strategies that can be used to overcome these
difficulties.
3. What is the primary advantage of automating your
savings?

Donna asked Janet if she could borrow her minivan to transport
her used furniture to Hour Children, a local non-profit. Janet was
reluctant to say yes because she knew Donna’s habit of speeding and
her record of prior traffic violations. Despite this, however,
because Janet believed in the mission of Hour Children, Janet
agreed to let Donna use her minivan.
Donna drove carefully and dropped off her furniture at the Hour
Children Thrift Shop. In a rush to return home,...

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