Question

A laboratory claims that the mean sodium level, μ, of a healthy adult is 138 mEq per liter of blood. To test this claim, a random sample of 43 adult patients is evaluated. The mean sodium level for the sample is 144 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 14 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.05 level of significance, that the population mean adult sodium level differs from that claimed by the laboratory? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)

The null Hypothesis:

The alternative hypothesis:

The type of test statistic:

The value of the test statistic (rounded to at least 3 decimal places):

The two critical values at the 0.05 level of significance: (rounded to at least 3 decimal places):

Can we conclude that the population mean adult sodium level differs from that claimed by the laboratory? (yes or no_

Answer #1

A laboratory claims that the mean sodium level, ? , of a healthy
adult is 141 mEq per liter of blood. To test this claim, a random
sample of 90 adult patients is evaluated. The mean sodium level for
the sample is 140 mEq per liter of blood. It is known that the
population standard deviation of adult sodium levels is 14 mEq. Can
we conclude, at the 0.05 level of significance, that the population
mean adult sodium level differs...

A laboratory claims that the mean sodium level, μ , of a healthy
adult is 141 mEq per liter of blood. To test this claim, a random
sample of 26 adult patients is evaluated. The mean sodium level for
the sample is 144 mEq per liter of blood. It is known that the
population standard deviation of adult sodium levels is 11 mEq.
Assume that the population is normally distributed. Can we
conclude, at the 0.05 level of significance, that...

A manufacturer claims that the mean lifetime, u, of its light
bulbs is 53 months. The standard deviation of these lifetimes is 6
months. Ninety bulbs are selected at random, and their mean
lifetime is found to be 52 months. Can we conclude, at the 0.05
level of significance, that the mean lifetime of light bulbs made
by this manufacturer differs from 53 months?
Perform a two-tailed test. Then fill in the table below. Carry
your intermediate computations to at...

Consider the following hypotheses: H0: μ = 450 HA: μ ≠ 450 The
population is normally distributed with a population standard
deviation of 78. (You may find it useful to reference the
appropriate table: z table or t table) a-1. Calculate the value of
the test statistic with x− = 464 and n = 45. (Round intermediate
calculations to at least 4 decimal places and final answer to 2
decimal places.) a-2. What is the conclusion at the 10%
significance...

One urban affairs sociologist claims that the proportion,
p
, of adult residents of a particular city who have been
victimized by a criminal is at least
55%
. A random sample of
245
adult residents of this city were questioned, and it was found
that
119
of them had been victimized by a criminal. Based on these data,
can we reject the sociologist's claim at the
0.05
level of significance?
Perform a one-tailed test. Then fill in the table...

In order to conduct a hypothesis test for the population mean, a
random sample of 20 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 10.5 and 2.2, respectively.
(You may find it useful to reference the appropriate table: z table
or t table).
H0: μ ≤ 9.6 against HA: μ > 9.6
a-1. Calculate the value of the test statistic. (Round all
intermediate calculations to at least 4 decimal...

1. Consider the following hypotheses:
H0: μ = 420
HA: μ ≠ 420
The population is normally distributed with a population standard
deviation of 72.
a-1. Calculate the value of the test statistic
with x−x− = 430 and n = 90. (Round intermediate
calculations to at least 4 decimal places and final answer to 2
decimal places.)
a-2. What is the conclusion at the 1% significance
level?
Reject H0 since the p-value is less
than the significance level....

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...

In order to conduct a hypothesis test for the population mean, a
random sample of 28 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 17.9 and 1.5, respectively.
(You may find it useful to reference the appropriate
table: z table or t
table).
H0: μ ≤ 17.5 against
HA: μ > 17.5
a-1. Calculate the value of the test statistic.
(Round all intermediate calculations to at least 4 decimal...

Consider the following hypotheses:
H0: μ = 23
HA: μ ≠ 23
The population is normally distributed. A sample produces the
following observations: (You may find it useful to
reference the appropriate table: z table
or t table)
26
25
23
27
27
21
24
a. Find the mean and the standard deviation.
(Round your answers to 2 decimal
places.)
Mean
Standard Deviation
b. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 17 minutes ago

asked 20 minutes ago

asked 27 minutes ago

asked 33 minutes ago

asked 45 minutes ago

asked 47 minutes ago

asked 57 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago