Question

Perform the following tests answering each part. Assume random samples taken from populations that are normally distributed. A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 85 items, the defect rate is 5.9% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 0.01 level of significance, test the manager's

---What is the Claim in symbolic Format? Question 9 options: A) P≤0.03 B) P=.03 C) P>.03 D) P<0.059 E) μ=0.03

---What is the Rest in symbolic Format? Question 10 options: A) P≤0.03 B) P=.03 C) P>.03 D) P<0.059 E) μ=0.03

---What is the H0? Question 11 options: A) P≤0.03 B) P=.03 C) P>.03 D) P<0.059 E) μ=0.03

---What is the H1? Question 12 options: A) P≤0.03 B) P=.03 C) P>.03 D) P<0.059 E) μ=0.03

---What is α? Question 13 options: A) 0.10 B) 0.05 C) 0.01 D) 0.99

---What type of tail test is this? Question 14 options: A) Left Tail B) Right Tail C) 2 Tail

---What is the test statistic? Question 15 options: A) z B) t C) χ2

--- What is the value of the test statistic? Question 16 options: A) 1.23 B) 1.5578 C) -1.68 D) 0.03

---What is the p-value? Question 17 options: A) .0426 B) .9404 C) 0.0596 D) .001

---Do you Reject or Fail to Reject the H0? Question 18 options: A) Reject B) Fail to Reject

---What is the final conclusion about the claim? Question 19 options: A) Support the claim. B) Don't Support the claim.

Answer #1

Perform the following tests answering each part. Assume random
samples taken from populations that are normally distributed. The
health of employees is monitored by weighing them. A sample of 54
employees has a mean weight of 185 lb and σ is known to be 26.2 lb,
use a 0.10 sig. level to test the claim that the population mean of
employees weights is less than 200 lb.
1.---What is the Claim in symbolic Format?
2.---What is the Rest in symbolic...

A manufacturer considers his production process to be out of
control when defects exceed 3%. In a random sample of 85 items, the
defect rate is 5.9% but the manager claims that this is
only a sample fluctuation and the production is not really out of
control . At the 0.01 level of significance, test the
managers claim.
HINTS: 1.57, 0.0582, 2.33
A) Step 1: What is the claim? Be careful, this is a tricky
question; but the claim is...

1) Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. State the
final conclusion that addresses the original claim and select three
correct choices. Use a significance level of α=0.05 to test the
claim that μ=32.6 The sample data consist of 15 scores for which
x¯=41.6x and s=8. Use the traditional method of testing
hypotheses.
A) There is enough evidence to reject the H0
B) There is enough evidence to...

A simple random sample of 48 adults is obtained from a normally
distributed population, and each person's red blood cell count
(in cells per microliter) is measured. The sample mean is 5.19 and
the sample standard deviation is 0.53. Use a 0.01 significance
level and the given calculator display to test the claim that the
sample is from a population with a mean less than 5.4, which is a
value often used for the upper limit of the range of...

For all hypothesis tests: Assume all samples are simple
random samples selected from normally distributed populations. If
testing means of two independent samples, assume variances are
unequal. For each test give the null and alternative hypothesis,
p-value, and conclusion as it relates to the claim.
In a random sample of 360 women, 65% favored stricter gun
control laws. In a random sample of 220 men, 60% favored stricter
gun control laws. Test the claim that the proportion of women
favoring...

Consider the following summary statistics, calculated from two
independent random samples taken from normally distributed
populations.
Sample 1 x¯1=20.87 s21=2.01 n1=16
Sample 2 x¯2=24.00 s22=3.36 n2=15
Test the null hypothesis H0:μ1=μ2against the alternative
hypothesis HA:μ1<μ2.
a) Calculate the test statistic for the Welch Approximate t
procedure. Round your response to at least 3 decimal places.
b) The Welch-Satterthwaite approximation to the degrees of
freedom is given by df = 26.366427. Using this information,
determine the range in which the p-value...

1. A light-bulb manufacturer advertises that the average life
for its light bulbs is 900 hours.
A random sample of 8 of its light bulbs resulted in the following
lives in hours:
995 590 910 539
916 728 664 693
At the 0.01 significance level, test the claim that the sample
is from a population with a mean life of 900 hours.
a. P-value = 0.979, reject alternative claim
b. P-value = 0.042, reject alternative claim
c. P-value...

Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative? hypotheses, test? statistic, P-value, and
state the final conclusion that addresses the original claim.
A simple random sample of 25 filtered 100 mm cigarettes is
obtained, and the tar content of each cigarette is measured. The
sample has a mean of 19.6 mg and a standard deviation of 3.24 mg.
Use a 0.05 significance level to...

Independent random samples, each containing 70 observations,
were selected from two populations. The samples from populations 1
and 2 produced 33 and 23 successes, respectively. Test H 0 :( p 1 −
p 2 )=0 H0:(p1−p2)=0 against H a :( p 1 − p 2 )≠0 Ha:(p1−p2)≠0 .
Use α=0.01 α=0.01 . (a) The test statistic is
(b) The P-value is
(c) The final conclusion is
A. We can reject the null hypothesis that ( p 1 − p 2...

Use a t-test to test the claim about the population mean μ at
the given level of significance α using the given sample
statistics. Assume the population is normally distributed.
Claim: μ ≠ 24; α=0.10 Sample statistics: x overbar =
21.4, s = 4.2 , n equals = 11
What are the null and alternative hypotheses? Choose the
correct answer below.
A.H0: μ≠24
Ha: μ=24
B.H0: μ≤24
Ha: μ>24
C.H0: μ=24
Ha: μ≠24
D.H0: μ≥24
Ha: μ than<24...

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