Question

For the test of significance questions, clearly indicate each of the formal steps in the test of significance.

Step 1: State the null and alternative hypothesis.

Step 2: Calculate the test statistic.

Step 3: Find the p-value.

Step 4: State your conclusion. (Do not just say “Reject H0” or “Do not reject H0”, state the conclusion in the context of the problem.)

A coffee shop claims that its fresh-brewed drinks have a mean caffeine content of 80 milligrams per 5 ounces.Acityhealthagencybelievesthatthecoffeeshop’sfresh- breweddrinkshavehighercaffeine content. To test this claim the health agency takes a random sample of 100 five-ounce servings and found the average mean caffeine content of the sample was 87 milligrams with standard deviation of 25 milligrams. Doesthisprovideenoughevidenceatthe1%significanceleveltoclaimthatthecoffeeshop’s fresh- brewed drinks have higher caffeine content? (Adapted from Reader’s Digest Eating for Good Health.)

Answer #1

For the test of significance questions, clearly indicate each of
the formal steps in the test of significance.
Step 1: State the null and alternative hypothesis.
Step 2: Calculate the test statistic.
Step 3: Find the p-value.
Step 4: State your conclusion. (Do not just say “Reject H0” or
“Do not reject H0”, state the conclusion in the context of the
problem.)
A market research group is interested in comparing the mean
weight loss for two different popular diets. The...

For the test of significance questions, clearly indicate each of
the formal steps in the test of significance.
Step 1: State the null and alternative hypothesis.
Step 2: Calculate the test statistic.
Step 3: Find the p-value.
Step 4: State your conclusion. (Do not just say “Reject H0” or
“Do not reject H0”, state the conclusion in the context of the
problem.)
Random samples of 50 women and 50 men are taken at Norwich
University. They are asked their reaction...

For the test of significance questions, clearly indicate each of
the formal steps in the test of significance.
Step 1: State the null and alternative hypothesis.
Step 2: Calculate the test statistic.
Step 3: Find the p-value.
Step 4: State your conclusion. (Do not just say “Reject H0” or
“Do not reject H0”, state the conclusion in the context of the
problem.)
A method currently used by doctors to screen patients for a
certain type of cancer fails to detect...

Your answer must include: i) null and alternative hypotheses;
ii) statement of assumptions; iii) calculation of the test
statistic; iv) calculation of the P-value; v) decision in terms of
the null hypothesis; and vi) conclusion in the context of the
problem.
1- A coffee shop claims that its fresh-brewed drinks have a mean
caffeine content of 80 milligrams per five ounces. You work for a
city health agency and are asked to test this claim. You find that
a random...

A consumer research organization states that the mean caffeine
content per 12-ounce bottle of a population of caffeinated soft
drinks is 37.8 milligrams. You find a random sample of 48 12-ounce
bottles of caffeinated soft drinks that has a mean caffeine content
of 41.5 milligrams. Assume the population standard deviation is
12.5 milligrams. At α=0.05, what type of test is this and can you
reject the organization’s claim using the test statistic?

Suppose that you work for a city health agency and are asked to
construct a 95% confidence interval for the mean caffeine content
per five ounces for a coffee shop. You find that a random sample of
12 five ounce servings yields a sample mean of 83 milligrams and a
sample standard deviation of 35 milligrams.
(66.380, 99.620)
(60.762, 105.238)
(64.854, 101.146)
(63.197, 102.803)

A company that makes cola drinks states that the mean caffeine
content per 12-ounce bottle of cola is 55 milligrams. You want to
test this claim. During your tests, you find that a random sample
of thirty 12-ounce bottles of cola has a mean caffeine content of
53.3 milligrams. Assume the population is normally distributed and
the population standard deviation is 6.1 milligrams. At
alphaαequals=0.07 can you reject the company's claim? Complete
parts (a) through (e).

A consumer research organization states that the mean caffeine
content per 12-ounce bottle of a population of caffeinated soft
drinks is 37.8 milligrams. You find a random sample of 48 12-ounce
bottles of caffeinated soft drinks that has a mean caffeine content
of 41.5 milligrams. Assume the population standard deviation is
12.5 milligrams. At α=0.05, what type of test is this and can you
reject the organization’s claim using the test statistic?
Claim is null, fail to reject the null...

1. A cereal company claims the mean sodium content in one
serving of its cereal is 230 milligrams. You work for a national
health service and are asked to test this claim. You find that a
random sample of 50 servings has a mean sodium content of 234
milligrams and a standard deviation of 10 mg. At α = 0.01, do you
have enough evidence to reject the company’s claim?
Hypothesis:
Test statistic:
p-value:
Conclusion:
Interpretation:

8. Hypothesis testing with ANOVA
Opinions about whether caffeine enhances test performance
differ. You design a study to test the impact of drinks with
different caffeine contents on students’ test-taking abilities. You
choose 21 students at random from your introductory psychology
course to participate in your study. You randomly assign each
student to one of three drinks, each with a different caffeine
concentration, such that there are seven students assigned to each
drink. You then give each of them a...

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