1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kruka [31]
2 years ago
10

A recent national survey found that high school students watched an average (mean) of 6.8 DVDs per month with a population stand

ard deviation of 1.8 DVDs. The distribution of DVDs watched per month follows the normal distribution. A random sample of 36 college students revealed that the mean number of DVDs watched last month was 6.2. At the .05 significance level, can we conclude that college students watch fewer DVDs a month than high school students?
value:
10.00 points
Required information
a. State the null hypothesis and the alternate hypothesis.
b. State the decision rule.
c. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign.Round your answer to 1 decimal place.)
d. What is your decision regarding H0?
e. What is the p-value? (Round your answer to 4 decimal places.)
Business
1 answer:
Lunna [17]2 years ago
3 0

Answer:

A)Null hypothesis; μ ≥ 6.8

Alternative hypothesis; μ < 6.8

B) The decision rule is that we reject the null hypothesis for all z-scores less than - 1.65

C)test statistic: z = -2

D) We reject Null hypothesis H0.

E) P-value ≈ 0.0228

Explanation:

We are given;

Sample size; n = 36

Population mean; μ = 6.8

Sample mean; x¯ = 6.2

Standard deviation; σ = 1.8

A) Let's state the hypotheses;

Null hypothesis; μ ≥ 6.8

Alternative hypothesis; μ < 6.8

B) The significance level is 0.05.

Let us find out the z-score that corresponds to a probability of 1 - 0.5 - 0.05 = 0.45 in the normal probability table attached.

From the table attached, we can that the corresponding z-score is approximately 1.6 + 0.05 = 1.65

The alternative hypothesis contains less than symbol which means this test is left tailed.

Thus, the rejection region includes all z-scores that are smaller than -1.65. Which means we reject the null hypothesis for all z-scores less than - 1.65

C) Formula for the test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (6.2 - 6.8)/(1.8/√36)

z = -0.6/0.3

z = -2

D) The test statistic gotten is z = -2

This is less than the z-score for the rejection the rejection region is answer B above.

Thus, we reject the null hypothesis.

E) from online p-value from z-score calculator attached , using; z = -2; significance value = 0.05, one tailed hypothesis, we have;

P-value = 0.02275

To 4 decimal places gives;

P-value ≈ 0.0228

You might be interested in
Refer to the accompanying balance sheet for the First National Bank. Assume the reserve ratio is 15 percent. If a check for $20,
Arlecino [84]
The answer is b $15,000
7 0
3 years ago
Question 4
denis23 [38]

Answer:

B. Accounts Receivable

7 0
3 years ago
Read 2 more answers
You are an international shrimp trader. A food producer in the Czech Republic offers to pay you 5 million Czech koruna today in
dimulka [17.4K]
Your dad and your mom are not real
8 0
2 years ago
Which statement is true?. . A. The value of money that you save increases over time.. B. The value of money remains constant ove
Marina86 [1]
The statement that is true among the choices given is option C. The presentvalue of money is greater than its future value. This statement is a fact and is always true. The present worth of a money is greater than its future value due to inflation. This is the principle called the time value of money.
3 0
3 years ago
Read 2 more answers
A student might describe information about the costs of production as
sattari [20]
crucial to understanding firms and market structures
6 0
3 years ago
Other questions:
  • Beloit Co. is a manufacturer of mini-doughnut machine makers. Early in 2015 a customer asked Beloit to quote a price for a custo
    12·1 answer
  • What must profit-seeking entrepreneurs do in order to be successful?
    12·1 answer
  • Bob contributed a building with an adjusted basis to Bob of $50,000 and a fair market value of $150,000 subject to a mortgage of
    14·1 answer
  • Transactional leaders do not ________.
    8·1 answer
  • The following information pertains to Julia &amp; Company: March 1 Beginning inventory = 33 units @ $5.70 March 3 Purchased 14 u
    10·1 answer
  • Select the correct answer.
    15·1 answer
  • The income of consumers has decreased. You know that canned meat is an inferior good. What will happen to the equilibrium price
    14·1 answer
  • Retailers may use online liquidators to address the problem of ________. A) distressed inventory B) shopping cart abandonment C)
    15·1 answer
  • In the efficiency wage model with the efficiency wage above the market-clearing wage, the level of employment depends on:
    11·1 answer
  • According to the order of operations in solving equations, which step should come first?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!