Question

Answer #1

Given the Hypotheses are:

H0: varience = 15 against

H1: variance > 15

Also the significance level alpha = 0.05 and sample size n = 18.

So, based on the hypothesis it will be right-tailed test, and the degree of freedom is df = n-1= 18-1= 17.

**Critical Value:**

The critical score for rejection region is calculated using the
excel formula for chi-square distribution which is takes teh
significance level and the degree of freedom as parameter, thus the
formula used is =CHISQ.INV.RT(0.05, 17), thus the confidence
interval is computed as **27.587.**

**Thus the critical value is 27.587.**

Consider the test of H0: σ2 = 7 against H1: σ2 ≠ 7. What are the
critical values for the test statistic chi-square for the following
significance levels and sample sizes? a)
α=0.01andn=20 b) α=0.05andn=12
c) α=0.10andn=15

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.)...

Suppose you want to test H0: u
<=100 against H1: u>
100 using a significance level of 0.05. The population is normally
distributed with a standard deviation of 75. A random sample size
of n = 40 will be used. If u = 130, what
is the probability of correctly rejecting a false null hypothesis?
What is the probability that the test will incorrectly fail to
reject a false null hypothesis?

For H0 and H1 with 0.05 alpha,
H0: Variance of weights made by machine1 = Variance of weights
made by machine 2
H1:Variance of weights made by machine1 > Variance of weights
made by machine 2
We have the following outputs.
Sample size of data from machine 1 = 30
Sample size of data from machine 2 = 20
F statistics = 3.45
Which one is the correct one?
a.
Since F stat (3.45) is not larger than upper critical...

Consider the following hypotheses and sample data,
alpha=0.10
H0: μ≤15
H1: μ>15
17, 21,14,20,21,23,13,21,17,17
A- Determine the critical value(s)
B- Find test statistic tx
C- Reject or do not reject null hypothesis
D- Use technology to determine the p-value for this test. Round
to three decimal places as needed.

You want to test H0: µ ≤ 10.00 against H1: π > 10.00 using α
= 0.01, given that a sample of size = 25 found ?̅= 12.9 and s =
6.77.
a. What is the estimated standard error of ?̅, assuming that the
null hypothesis is correct?
b. Should your test statistic be a Z or a T (which, ZSTAT or
TSTAT)?
c. What is the attained value of the test statistic?
d. What is/are the critical values of...

Suppose that we wish to test H0: µ = 20 versus
H1: µ ≠ 20, where σ is known to equal 7. Also, suppose
that a sample of n = 49 measurements randomly selected
from the population has a mean of 18.
Calculate the value of the test statistic Z.
By comparing Z with a critical value, test
H0 versus H1 at α = 0.05.
Calculate the p-value for testing H0 versus
H1.
Use the p-value to test H0 versus...

1. Consider the following hypothesis test: Ho: μ = 15 H1: μ ≠
15
A sample of 50 provided a sample mean of 15.15. The population
standard deviation is 3.
a. Compute the value of the test statistic. b. What is the p
value? c. At α = 0.05, what is the rejection rule using the
critical value? What is your conclusion?

1. Consider the following hypothesis test: Ho : μ = 15 H1 : μ ≠
15 A sample of 50 provided a sample mean of 15.15. The population
standard deviation is 3. a. Compute the value of the test
statistic. b. What is the p value? c. At α = 0.05, what is the
rejection rule using the critical value? What is your
conclusion?
2. Consider the following hypothesis test: Ho: μ ≤ 51 H1: μ >
51 A sample...

1. In order to test H0: µ=40 versus H1: µ > 40, a random
sample of size n=25 is obtained from a population that is known to
be normally distributed with sigma=6.
. The researcher decides to test this hypothesis at the α =0.1
level of significance, determine the critical value.
b. The sample mean is determined to be x-bar=42.3, compute the
test statistic z=???
c. Draw a normal curve that depicts the critical region and
declare if the null...

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