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
ra1l [238]
3 years ago
6

To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun

d in all commercial brands of cigarettes. A new cigarette has recently been marketed. The FDA tests on this cigarette gave a mean nicotine content of 28.5 milligrams and standard deviation of 2.8 milligrams for a sample of n = 9 cigarettes. The FDA claims that the mean nicotine content exceeds 31.7 milligrams for this brand of cigarette, and their stated reliability is 95%. Do you agree?
Mathematics
1 answer:
QveST [7]3 years ago
3 0

Answer:

We conclude that  the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 31.7 milligrams

Sample mean, \bar{x} = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s =  2.8 milligrams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}

We use One-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429

Now, t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860

Since,                  

t_{stat} < t_{critical}

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that  the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

You might be interested in
What is the factored form of -7y-y^2=0
Sveta_85 [38]
Factor out like terms
-y(7+y)=0
4 0
3 years ago
What's the inverse of a 2x4 matrix?
balandron [24]
Mxn Matrices do not have an inverse solution for m ≠ n, so your 2x4 will not have a solution. 

<span>Generally, inverting matrices is done through finding the determinant of the square matrix and then performing an operation on the matrix based on the size of the matrix. </span>

<span>Wikipedia has a good article on Matrix inversion, take a look there for more information.</span>
8 0
3 years ago
The first number in a pattern is 246, and the rule is subtract 10. What is the next number in the pattern?
kumpel [21]
Answer : 236
246 - 10 = 236
3 0
2 years ago
Read 2 more answers
Help me plzzzzzzzzzzz
coldgirl [10]
Simple use the cuboid volume formula for each of them
5 0
3 years ago
Read 2 more answers
you are a plumber installing a pipe the ratio of the outside diameter to the inside diameter is 1.5 to 1. you use a pipe with a
yanalaym [24]
Since the outside is 1.5 to 1, we take half of the value of the inside diameter and add it to itself to get the smallest value needed. 0.5+0.25=0.75

So the smallest diameter possible would be 0.75 inches.
7 0
3 years ago
Other questions:
  • As shown in the graph, ΔGHI ≅ ΔG'H'I', since this is a vertical shift, and ΔG'H'I' ≅ ΔG''H''I'', since this is a horizontal shif
    15·1 answer
  • Help!! Question on probability. Wi give brainliest!!
    9·1 answer
  • P(A)=0.4 and (B)=0.45 what is P(A/B)?
    10·1 answer
  • At a coffee shop, 70% of the customers buy a coffee drink, 30% buy food, and 20% buy both a coffee drink and food. Are buying fo
    15·2 answers
  • Find two consecutive whole numbers that <br> square root of 66<br> lies between.
    6·1 answer
  • The height of horses is measured in hands. To find the height of a horse in inches, use the expression 4h, where h is the number
    15·1 answer
  • The picture has the 2 questions
    5·1 answer
  • Write a equation in slope intercept form of the line that passes through the given point and is perpendicular to the graph of th
    11·1 answer
  • What is the difference of <br> 5<br> 6<br> −<br> 5<br> 12<br> ? Use the fraction strip to help.
    9·1 answer
  • LOL i need help this is due in like 15 minutes and i don't know what to do
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!