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
Nastasia [14]
3 years ago
6

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify t

he null and alternative hypotheses, test statistic, P-value, critical value(s), and state the final conclusion that addresses the original claim. A simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar content of each cigarette is measure. The sample has a mean of 19.4 mg and a standard deviation of 3.52 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest about the effectiveness of the filters? What are the hypotheses? Identify the test statistic. Identify the P-value Identify the critical value(s). State the final conclusion that addresses the original claim. A. Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. B. Reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. C. Fail to reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. D. Reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. What do the results suggest, if anything, about the effectiveness of the filters? A. The results are inconclusive because the sample size is less than 30. B. The results suggest that the filtered cigarettes have the same tar content as unfiltered king size cigarettes. C. The results do not suggest that the filters are effective. D. The results suggest that the filters are effective. E. The results suggest that the filters increase the tar content.

Mathematics
1 answer:
marissa [1.9K]3 years ago
5 0

Answer:

1) Option A: Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.  

2)Option D: The results suggest that the filters are effective

Step-by-step explanation:

We are given;

Sample size; n = 25

Sample mean; x' = 19.4 mg

Standard deviation; s = 3.52 mg

Population mean; μ = 21.1 mg

Let's state the hypotheses;

Null Hypothesis;H0: μ = 21.1 mg

Alternative Hypothesis; Ha; μ < 21.1 mg

Now, since sample size is less than 30,we will use a t-test.

Thus;

t = (x' – μ)/[s/√(n)]

t = (19.4 - 21.1)/(3.52/√25)

t = -2.415

Using an online p-value from t-score calculator as attached with the parameters t = -2.415, DF = 25 - 1 = 24, significance level = 0.05, one tailed, we have;

The p-value is 0.011885.

The calculated p-value is less than the significance level of 0.05. Thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.

You might be interested in
What is the poinet-slope form of the equation for the line in the graph?​
Ne4ueva [31]

Answer:

y -5 = \frac{9}{13}(x - 7)

Step-by-step explanation:

Given :

Two points are given in graph (-6, -4) and {7, 5).

The point-slope form of the equation of a straight line is:

y -y_{1} = m(x - x_{1})------------(1)

Let (x_{1}, y_{1})=(7,5) and (x_{2}, y_{2})=(-6,-4)

The slope of the line m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}

Put all known value in above equation.

m=\frac{-4- 5}{-6- 7}

m=\frac{-9}{-13}

m=\frac{9}{13}

The slope of the line m=\frac{9}{13}

We know m, and also know that (x_{1}, y_{1})=(7,5), so we put these value in equation 1.

y -5 = \frac{9}{13}(x - 7)

Therefore, the equation of the line is y -5 = \frac{9}{13}(x - 7).

6 0
2 years ago
Write as a decimal: 31%
algol [13]

Answer: 0.31 is the decimal form of 31%

Step-by-step explanation:

3 0
2 years ago
The triangle below is an equilateral triangle. Find yy = 10y = 180y = 7y = 13
Viktor [21]

Solution

For this case we have the following

y+3 = x = 10

Then x= 10

So we can set up this equation:

y+3 = 10

y= 7

Then the answer is:

y=7

4 0
1 year ago
Find an expression in simplest form for the verbal description. The total pay for 12 hours of work at a base rate of P per hour
Jobisdone [24]
Base:
12 \times p = 12p  \\
Bonus:
12 \times 1.50
Total:
12 \times (p + 1.50)
6 0
2 years ago
Someone Please help me.
Lady_Fox [76]

Answer:

-2

Step-by-step explanation:

rise over run

\frac{rise (-2)}{run 1}

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which ordered pair (a, b) is a solution to the given system of linear equations? -2a+3b=14
    8·2 answers
  • Rectangle R has varying length l and width w but a constant perimeter of 4 ft. A. Express the area A as a function of l. What do
    6·1 answer
  • Simplify -7x+6y-6x , please help with this question thank you
    9·2 answers
  • Is 7.0 a rational or a whole
    11·2 answers
  • 1.932 what is in the tenths
    9·1 answer
  • What is the graph of the inequality 3x+2y&gt;-5
    11·1 answer
  • Mellisa exercises for 20 minutes
    13·2 answers
  • Kim is 12 years old. If her age is 25% of her mother’s age, how old is her mother?
    14·2 answers
  • I am confusion. help me
    5·1 answer
  • Dogs Playing PokerBarry and Kerrie are discussing their pets during a poker game. Barry tells Kerrie that he has at least one do
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!