Question

Solve the following questions with proper answer

1. At a college a popular achievement test is used for advanced college placement. Counselors selected a random sample of 16 students from the college and scored their tests by hand before sending them in for computer processing. For this sample, the mean was 520 and s = 20. Construct a 95% confidence interval for the mean. Circle the correct answer

(A) (509.4, 530.6)

(B) (508.8, 531.2)

(C) (510.1, 530.0)

(D) (509.6, 530.4)

2. Dental Anxiety Study: Study of adults who completed the Dental Anxiety Scale scored from 0 ( no anxiety) to 20 (extreme anxiety). The Summary statistics for the scores of 25 adults who completed the questionnaire are ¯x = 10.2 and s = 3.6. Conduct a test of Hypothesis to determine whether the mean anxiety scale score for the population of College students is less than 12. Let H0 : µ = 12, and Ha : µ < 12.

(A). P-value is in (0.005, 0.01), so, we reject H0 at α = 0.01.

(B). P-value is in (0.005, 0.01), so, we accept H0 at α = 0.01.

(C). P-value is in (0.05, 0.10), so, we reject H0 at α = 0.05.

(D). P-value is in (0.05, 0.10), so, we accept H0 at α = 0.05.

3.A poker player pick five cards randomly, and he gets ♥6, ♣6, ♦6 ♥9, ♠Q. He pick one more card. What is the probability that he can have a house (that is, a triple and a pair, like 666QQ,,66699)? (

A)47 × 46 52 × 51 (

B) 8 47

(C) 6 47

D) 10 52

(E) 8 51 .

Answer #1

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...

Exercise 9-13 Algo
Consider the following hypotheses:
H0: μ ≤ 73.0
HA: μ > 73.0
A sample of 51 observations yields a sample mean of 74.3. Assume
that the sample is drawn from a normal population with a population
standard deviation of 3.7. (You may find it useful to
reference the appropriate table: z table
or t table)
a-1. Find the p-value.
0.01 p-value < 0.025
0.025 p-value < 0.05
0.05 p-value < 0.10
p-value 0.10
p-value < 0.01...

Solve the following question
(1) Some candidate claims that he will win the election. We did
a survey, found that among
2000 voters we surveyed, only 900 would vote for him. Based on the
survey, we want to
check whether the candidate will lose the election, we turn this
problem as testing problem.
a). Set hypothesis. H0 : p = 0.5, Ha is:
A. p > 0.5, B. p < 0.5, C. p 6= 05, D. p > 0.45, E....

1. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is rejected if X
>¯ 1.645, given n = 36 and σ = 6. What is the value of α, i.e.,
maximum probability of Type I error?
A. 0.90 B. 0.10 C. 0.05 D. 0.01
2. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is rejected if X
>¯ 1.645, given n = 36 and σ = 6. What...

. Consider the following hypothesis test: H0 : µ ≥ 20 H1 : µ
< 20 A sample of 40 observations has a sample mean of 19.4. The
population standard deviation is known to equal 2. (a) Test this
hypothesis using the critical value approach, with significance
level α = 0.01. (b) Suppose we repeat the test with a new
significance level α ∗ > 0.01. For each of the following
quantities, comment on whether it will change, and if...

Given the following contingency table, conduct a test for
independence at the 1% significance level. (You may find it
useful to reference the appropriate table: chi-square table or F
table)
Variable A
Variable B
1
2
1
38
43
2
32
62
a. Choose the null and alternative hypotheses.
H0: The two variables are independent.;
HA: The two variables are dependent.
H0: The two variables are dependent.;
HA: The two variables are independent.
b. Calculate the value of the test...

Answer questions 14 – 16 based on the following:
Sample A
Sample B
s^2
40
96
n
16
26
We want to test Ho: σ2A = σ2B (σ2A / σ2B = 1) against Ha: σ2A ≠ σ2B
(σ2A / σ2B ≠ 1)
14. The test statistic equals
a. 0.417
b. .843
c. 2.4
d. 1.500
15. The p-value is between
a. 0.025 and 0.05
b. 0.05 and 0.10
c. 0.10 and 0.20
d. 0.00 and 0.01
16. What is your...

Is college worth it?
Among a simple random sample of 306
American adults who do not have a four-year college degree and
are not currently enrolled in school, 45% said they decided not to
go to college because they could not afford school.
(a) A newspaper article states that only a minority of the
Americans who decide not to go to college do so because they cannot
afford it and uses the point estimate from this survey as evidence.
Conduct...

An article about the California lottery gave the following
information on the age distribution of adults in California: 35%
are between 18 and 34 years old, 51% are between 35 and 64 years
old, and 14% are 65 years old or older. The article also gave
information on the age distribution of those who purchase lottery
tickets. The following table is consistent with the values given in
the article. Suppose that the data resulted from a random sample of
200...

1. The P-value of a test of the null hypothesis is
a. the probability the null hypothesis is true.
b. the probability the null hypothesis is false.
c. the probability, assuming the null hypothesis is false, that
the test statistic will take a value at least as extreme as that
actually observed.
d. the probability, assuming the null hypothesis is true, that
the test statistic will take a value at least as extreme as that
actually observed.
2. The P-value...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 7 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 19 minutes ago

asked 32 minutes ago

asked 37 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago