Question

A researcher wants to test H 0 : σ = 1.45 versus H 1 : σ > 1.45 for the standard deviation in a normally distributed population. The researcher selects a simple random sample of 20 individuals from the population and measures their standard deviation as s = 1.57.

Find the test statistic: (round to 3 decimal places)

χ 0 2 =

Find the critical value(s) for a 0.01 significance level: (round to 3 decimal places)

χ α 2 =

Does the researcher reject or not reject the null hypothesis?

A) Reject, since the test statistic is smaller than the critical value in a left-tailed test.

B) Reject, since the test statistic is larger than the critical value in a right-tailed test.

C) Does not reject, since the test statistic is smaller than the critical value in a right-tailed test.

D) Does not reject, since the test statistic is larger than the critical value in a left-tailed test.

E) None of the above.

Answer #1

To test H0: σ=2.2 versus H1: σ>2.2, a random sample of size
n=15 is obtained from a population that is known to be normally
distributed. Complete parts (a) through (d).
(a) If the sample standard deviation is determined to be s=2.3,
compute the test statistic.
χ^2_0=____
(Round to three decimal places as needed.)
(b) If the researcher decides to test this hypothesis at the
α=0.01 level of significance, determine the critical value.
χ^2_0.01=____
(Round to three decimal places as needed.)...

To test Upper H0: σ=50 versus Upper H 1 : sigma < 50, a
random sample of size n = 28 is obtained from a population that is
known to be normally distributed.
(a) If the sample standard deviation is determined to be s =
35.6, compute the test statistic. (Round to three decimal places
as needed.)
(b) If the researcher decides to test this hypothesis at the
α=0.01 level of significance, use technology to determine the
P-value. The P-value...

To test Upper H 0: muequals20 versus Upper H 1: muless
than20, a simple random sample of size nequals17 is obtained from
a population that is known to be normally distributed. Answer
parts (a)-(d). LOADING... Click here to view the t-Distribution
Area in Right Tail. (a) If x overbarequals18.3 and sequals4.5,
compute the test statistic. tequals nothing (Round to two decimal
places as needed.) (b) Draw a t-distribution with the area that
represents the P-value shaded. Which of the following...

To test Upper H 0 : sigma equals 1.6 versus Upper H 1 : sigma
greater than 1.6, a random sample of size n equals 19 is obtained
from a population that is known to be normally distributed.
(a) If the sample standard deviation is determined to be s
equals 2.1, compute the test statistic.
(b) If the researcher decides to test this hypothesis at the
alpha equals 0.01 level of significance, use technology to
determine the P-value.
(c)...

In a hypothesis test with hypotheses H 0 : μ ≤ 45 and H 1 : μ
> 45 , a random sample of 69 elements selected from the
population produced a mean of 47.3. Assume that σ = 7.3, and that
the test is to be made at the 2.5% significance level. What is the
critical value of z? -1.96 1.96 -1.65 1.65 What is the value of the
test statistic, z, rounded to three decimal places? What is...

In a hypothesis test with hypotheses H 0 : μ = 90 and H 1 : μ ≠
90 , a random sample of 16 elements selected from the population
produced a mean of 85.8 and a standard deviation of 5.7. The test
is to be made at the 10% significance level. Assume the population
is normally distributed.
What are the critical values of t?
-1.341 and 1.341
-1.746 and 1.746
-1.753 and 1.753
-1.645 and 1.645
What is the...

Consider the following
hypothesis test:
H
0: 20
H
a: < 20
A sample of 55
provided a sample mean of 19.5. The population standard deviation
is 1.8.
a.
Compute the value of the test statistic (to 2 decimals). If your
answer is negative, use minus "-" sign.
b.
What is the p-value (to 3 decimals)?
c.
Using = .05, can it be concluded that the population mean is less
than 20? SelectYesNo
d.
Using = .05, what is the...

To test H0: σ=70 versus H1: σ<70, a random sample of size n
equals 25 is obtained from a population that is known to be
normally distributed.
(a) If the sample standard deviation is determined to be s
equals = 46.5, compute the test statistic.
(b) If the researcher decides to test this hypothesis at α=0.05
level of significance, use technology to determine the
P-value.
(c) Will the researcher reject the null hypothesis?
What is the P-Value?

You wish to test the following claim at a significance level of
0.10. H 0 : μ = 53.1 H 1 : μ < 53.1 You believe the population
is normally distributed, but you do not know the standard
deviation. You obtain a sample of size 115 with a mean of 49.3 and
a standard deviation of 15.2. What is the critical value for this
test? (Report answer accurate to 3 decimal places.) What is the
test statistic for this...

You wish to test the following claim ( H 1 ) at a significance
level of α = 0.005 . H o : μ = 78.7 H 1 : μ < 78.7 You believe
the population is normally distributed, but you do not know the
standard deviation. You obtain a sample of size n = 7 with a mean
of ¯ x = 74.8 and a standard deviation of S D = 5.4 .
What is the critical value for...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 12 minutes ago

asked 30 minutes ago

asked 41 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago