In: Statistics and Probability

The table shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At α = .05α = .05α = .05, is there enough evidence to conclude that at least one mean battery price is different from the others? (Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal)

Battery Type A 110 100 125 90 120

Battery Type B 280 145 180 175 90

Battery Type C 140 125 85 140 80

P-value = ???

The following table shows the prices of cars in the lineup of a
certain automobile manufacturer, along with the profit resulting
from the sale of each car:
Sales Price Profit ($44,000, $9,500) ($48,000, $9,600) ($54,000,
$12,500) ($56,000, $12,600) ($62,000, $14,000) ($64,000,, $15,000)
($68,000, $17,000)
Mean Sales Price = $56,571 Standard Deviation Sales Price =
$8,696 Mean Profit = $12,886 Standard Deviation Profit = $2,743
Correlation = .98
(a) Determine the slope of the least square regression line that
predicts the...

The accompanying table shows the annual salaries, in thousands
of dollars, earned by a sample of individuals who graduated with
MBAs in the years 2012 and 2013. Perform a hypothesis test using α
equals= 0.05 to determine if the median salary for 2012 MBA
graduates is lower than 2013 MBA graduates.
Salaries (in thousands of dollars) for 2012 MBA graduates
92.6
66.1
60.6
85.5
92.8
44.7
84.4
81.1
44.2
94.3
66.6
61.6
94.6
81.6
Salaries (in thousands of dollars) for...

The table to the right shows the cost per ounce (in dollars)
for a random sample of toothpastes exhibiting very good stain
removal, good stain removal, and fair stain removal. At
alpha=0.05, can you conclude that the mean costs per ounce are
different? Perform a one-way ANOVA test by completing parts a
through d. Assume that each sample is drawn from a normal
population, that the samples are independent of each other, and
that the populations have the same variances....

Toothpaste The table shows the costs per ounce (in dollars) for
a sample of toothpastes exhibiting very good stain removal, good
stain removal, and fair stain removal. At α = 0.05, can you
conclude that at least one mean cost per ounce is different from
the others?
Very Good
.47
.49
.41
.37
.48
.51
Good
.60
.64
.58
.75
.46
Fair
.34
.46
.44
.60

12. Toothpaste The table shows the costs per ounce (in dollars)
for a sample of toothpastes exhibiting very good stain removal,
good stain removal, and fair stain removal. At α = 0.05, can you
conclude that at least one mean cost per ounce is different from
the others?
Using SPSS!!!
Very Good
.47
.49
.41
.37
.48
.51
Good
.60
.64
.58
.75
.46
Fair
.34
.46
.44
.60

The following table shows the prices of a sample of U.S.
Treasure STRIPs in August 2020. Each strip makes a single payment
of $1,000 at maturity without any coupons. (10 points)
Maturity
Price (%)
August 2021
95.53
August 2022
91.07
August 2023
86.20
August 2024
81.08
Calculate the annually compounded, spot interest
rate for each year.
Spot rate for 1-year strip
=
Spot rate for 2-year strip
=
Spot rate for 3-year strip
=
Spot rate for 4-year strip
=...

A random sample of 100 automobile owners in a region shows that
an automobile is driven on average 21,500 kilometers per year with
a standard deviation of 4500 kilometers. Assume the distribution of
measurements to be approximately normal. Construct a 95%
prediction interval for the kilometers traveled annually by an
automobile owner in the region.

The accompanying table shows raw data of fifteen adult sample.
where income is in dollars. enter the data into Excel and solve the
problems using the multiple regression procedures .
annual income
age
years of education
years of work
ID
Y(1000s)
X1
X2
X3
1
21
24
12
3
2
28
33
14
5
3
34
40
14
7
4
46
47
18
15
5
33
39
10
12
6
49
38
16
10
7
19
20
11
2
8...

7-2) The following table shows the bail bond (in US dollars) a
sample of arrested men and women had to pay to get out of jail.
men
women
1000
500
300
250
1500
250
200
200
500
500
150
250
1000
100
500
150
1200
250
Formulate the null hypothesis stating no gender difference in
the bail bond the arrestees have to pay
Formulate the alternative hypothesis
Using the independent-sample t test, test the null hypothesis
[H0]
List the value...

A manufacturer of automobile batteries claim that at least 80%
of the batteries
that it produces will last 36 months. A consumers’ advocate group
wants to evaluate this
longevity claim and selects a random sample of 28 batteries to
test. The following data indicate
the length of time (in months) that each of these batteries lasted
(i.e., performed properly
before failure): 42.3, 39.6, 25.0, 56.2, 37.2, 47.4, 57.5, 39.3,
39.2, 47.0, 47.4, 39.7, 57.3, 51.8,
31.6, 45.1, 40.8, 42.4, 38.9,...

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