Question

A
random sample of steepens teaching assistance in economics is
Leslie is there sufficient evidence at the a=0.05 level to conclude
that the average stipend differs from 14,000? the stipends listed (
in dollars ) are for the academic year. assume that the population
is approximately normally distrubted.

12,283 14,000 16,338 14,356 13,185 12,000 11,981 15,000
14,000

Answer #1

The average height of an NBA player is 6.698 feet. A random
sample of 30 players’ heights from a major college basketball
program found the mean height was 6.75 feet with a standard
deviation of 5.5 inches. At α = 0.05, is there sufficient evidence
to conclude that the mean height differs from 6.698 feet?

In order to conduct a hypothesis test for the population mean, a
random sample of 24 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 13.9 and 1.6, respectively.
(You may find it useful to reference the appropriate
table: z table or t
table).
H0: μ ≤ 13.0 against
HA: μ > 13.0
a-1. Calculate the value of the test statistic.
(Round all intermediate calculations to at least 4 decimal...

A random sample of 36 values is drawn from a mound-shaped and
symmetric distribution. The sample mean is 14 and the sample
standard deviation is 2. Use a level of significance of 0.05 to
conduct a two-tailed test of the claim that the population mean is
13.5.
(a) Is it appropriate to use a Student's t
distribution? Explain.
Yes, because the x distribution is mound-shaped and
symmetric and σ is unknown.No, the x distribution
is skewed left. No, the x
distribution...

Let x be a random variable that represents the hemoglobin count
(HC) in human blood (measured in grams per milliliter). In healthy
adult females, x has an approximately normal distribution with a
population mean of ?=14.1μ=14.1, and population standard deviation
of ?=0.05σ=0.05. Suppose a female patient had 10 blood tests over
the past year, and the sample mean HC was determined to be
?⎯⎯⎯=15.7x¯=15.7.
What is the value of the sample test statistic (z)?
What is the P-value of the...

A random sample of 100 observations from a normal population
whose standard deviation is 50 produced a mean of 75. Does this
statistic provide sufficient evidence at the 5% level of
significance to infer that the population mean is not 80?

A random sample of 50 binomial trials resulted in 20 successes.
Test the claim that the population proportion of successes does not
equal 0.50. Use a level of significance of 0.05.
(e)
Do you reject or fail to reject H0?
Explain.
At the α = 0.05 level, we reject the null hypothesis and
conclude the data are statistically significant.At the α = 0.05
level, we reject the null hypothesis and conclude the data are not
statistically significant. At the α =...

8.
A nationwide random sample of university professors revealed that
24 professors consumed a total of 6,548 mg of caffeine daily, with
a standard deviation of 48 mg. Assuming that the amount of caffeine
consumed per person per day is normally distributed, is there
sufficient evidence to conclude that the average amount of caffeine
consumed per day by university professors is more than 250 mg using
α = 0.05?
Answer the following:
Hypothesis test: Ho: μ = Answer versus H1:...

A random sample of companies in electric utilities (I),
financial services (II), and food processing (III) gave the
following information regarding annual profits per employee (units
in thousands of dollars).
I
II
III
49.4
55.8
38.8
43.2
24.7
37.4
32.1
41.4
10.7
27.2
29.6
32.5
38.3
39.7
15.7
36.3
42.1
20.6
Shall we reject or not reject the claim that there is no
difference in population mean annual profits per employee in each
of the three types of companies? Use...

Algebra scores in a school district are approximately normally
distributed with mean μ = 72 and standard deviation σ = 5. A new
teaching-and-learning system, designed to increase average scores,
is introduced to a random sample of 36 students, and in the first
year the average was 73.5.
(a) What is the probability that an average as high as 73.5
would have been obtained under the old system?
(b) Is the test significant at the 0.05 level? What about the...

What is your favorite color? A large survey of countries,
including the United States, China, Russia, France, Turkey, Kenya,
and others, indicated that most people prefer the color blue. In
fact, about 24% of the population claim blue as their favorite
color.† Suppose a random sample of n = 59 college students
were surveyed and r = 11 of them said that blue is their
favorite color. Does this information imply that the color
preference of all college students is...

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