Question

A cell phone company offers two plans to its subscribers. At the time new subscribers sign up, they are asked to provide some demographic information. The mean yearly income for a sample of 42 subscribers to Plan A is $55,500 with a standard deviation of $8,500. This distribution is positively skewed; the coefficient of skewness is not larger. For a sample of 40 subscribers to Plan B, the mean income is $56,800 with a standard deviation of $8,700.

At the 0.01 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger?

**a.** State the decision rule. **(Negative
answer should be indicated by a minus sign. Round the final answer
to 3 decimal places.)**

Reject *H*_{0} if *t >* .

**b.** Compute the value of the test statistic.
**(Negative answer should be indicated by a minus sign. Round
the final answer to 3 decimal places.)**

Value of the test statistic

**c.** What is your decision regarding the null
hypothesis?

(Click to select) Do not
reject Reject *H*_{0}.
There is (Click to select) not
enough enough evidence to conclude that the
mean income of those selecting Plan B is (Click to
select) larger not larger .

**d.** What is the *p*-value? **(Round
the final answer to 4 decimal places.)**

Answer #1

Given data is

For plane A subscribers

sample size is 42

A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 38
subscribers to Plan A is $58,500 with a standard deviation of
$8,000. This distribution is positively skewed; the coefficient of
skewness is not larger. For a sample of 42 subscribers to Plan B,
the mean income is $59,100 with a standard deviation of $9,500. At
the...

A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 38
subscribers to Plan A is $45,000 with a standard deviation of
$9,200. For a sample of 26 subscribers to Plan B, the mean income
is $49,500 with a standard deviation of $7,100.
At the 0.100 significance level, is it reasonable to conclude
the mean income of...

Exercise 11-25 (LO11-2)
A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 40
subscribers to Plan A is $45,000 with a standard deviation of
$9,200. For a sample of 25 subscribers to Plan B, the mean income
is $64,300 with a standard deviation of $7,100.
At the 0.025 significance level, is it reasonable to conclude
the...

A game company offers two plan to its players. At the time new
players sign up, they askes to provide some demographic
information. The mean yearly income for a sample of 40 subscribers
to plan A is $ 57,000 with standard devaition $9,200. For a sample
of 30 subscribers to plan B, the mean income is $ 61,000 with a
standard deviation is $7,200.
a.State the null and alternate hypothesis to conclude that the
mean income of those selecting plan...

A shopping centre wants to examine the amount of space required
for parking. Studies indicated that 62% of staff and shoppers use
public transportation. A survey of 1,002 was taken, and 567
responded that they used public transportation.
a. State the null hypothesis and the alternate
hypothesis. Round the final answers to 2 decimal
places.
H0: p =
H1: p ≠
b. State the decision rule for 0.10
significance level. (Negative answer should be indicated by...

A shopping centre wants to examine the amount of space required
for parking. Studies indicated that 60% of staff and shoppers use
public transportation. A survey of 1,002 was taken, and 555
responded that they used public transportation.
a. State the null hypothesis and the alternate
hypothesis. Round the final answers to 2 decimal
places.
H0: p =
H1: p ≠
b. State the decision rule for 0.05
significance level. (Negative answer should be indicated by...

A number of minor automobile accidents occur at various
high-risk intersections despite traffic lights. The traffic
department claims that a modification in the type of light will
reduce these accidents. The traffic commissioners have agreed to a
proposed experiment. Eight intersections were chosen at random, and
the lights at those intersections were modified. The numbers of
minor accidents during a six-month period before and after the
modifications were as follows:
Number of Accidents
A
B
C
D
E
F
G...

The cost of a wedding has skyrocketed in recent years. As a
result, many couples are opting to have their weddings in the
Caribbean. A Caribbean vacation resort recently advertised that the
cost of a Caribbean wedding was less than $10 000. Listed below is
the total cost (in $ thousands) for a sample of eight Caribbean
weddings:
$10.0
$9.8
$9.1
$9.4
$9.6
$10.5
$10.8
$10.7
a. State the null hypothesis and the alternate
hypothesis. (Enter the final answers in...

The manager of Tea for Us has been ordering stock based on the
assumption that 51% of her customers prefer black teas. The
following hypotheses are given:
H0: p = 0.51
H1: p ≠ 0.51
She sampled 158 of her customers and found that only 41% of
those preferred black teas. At the 0.10 significance level, can the
null hypothesis be rejected?
a. State the decision rule. (Negative
answer should be indicated by a minus sign. Round the final answers...

The mean mass of the puppies at five months is 4.35 kg. The
masses follow the normal distribution. In an effort to increase
their mass, a supplement is added to their daily meals. The
subsequent masses of a sample of five-month-old puppies were (in
kilograms):
4.39
4.32
4.28
4.58
4.37
4.48
4.25
4.55
4.30
4.53
a. At the 0.01 level, has the supplement
increased the mean mass of the puppies? (Round the final
answer to 3 decimal places. Negative answers...

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