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
Marizza181 [45]
3 years ago
7

Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te

sting to see if their fishing line holds up to the advertised specifications. Currently they are producing 30-pound test line and 20 randomly selected pieces are selected to test the strength. The 20 pieces broke with an average force of 29.1 pounds and a sample standard deviation of 2 pounds. Assuming that the strength of the fishing line is normally distributed, perform the appropriate hypothesis test at a 0.05 significance level in order to determine whether there is sufficient sample evidence to conclude the fishing line breaks with an average force of less than 30 pounds.
a. No, because the test statistic is -2.01.
b. No, because the test statistic is -2.52
c. Yes, because the test statistic is -2.52
d. Cannot be determined Yes, because the test statistic is -2.01
Mathematics
1 answer:
andre [41]3 years ago
5 0

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 30 pound

Sample mean, \bar{x} = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s =  2 pounds

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}

We use one-tailed(left) t test to perform this hypothesis.

Formula:

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

Putting all the values, we have

t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012

Now,

t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729

Since,                    

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

You might be interested in
Divide,<br> 7)16.52 -<br><br> PLEASE ANSWER QUICK
Sedaia [141]

Answer:

0.42347247428

Step-by-step explanation:

my calcuator

7/16.52

8 0
3 years ago
Read 2 more answers
4x + 8 = 2x + 7 + 2x - 20.<br><br> PLEASE SHOW WORK!!!
garik1379 [7]

How to get answer:

\mathrm{Group\:like\:terms}\\4x+8=2x+2x+7-20\\\mathrm{Add\:similar\:elements:}\:2x+2x=4x\\4x+8=4x+7-20\\\mathrm{Add/Subtract\:the\:numbers:}\:7-20=-13\\4x+8=4x-13\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\4x+8-8=4x-13-8\\\mathrm{Simplify}\\4x=4x-21\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\4x-4x=4x-21-4x\\Simplify\\0=-21\\The\:sides\:are\:not\:equal\\

6 0
3 years ago
Read 2 more answers
Will mark brainliest!!!<br> Solve for x and plz do both
sladkih [1.3K]

Answer:

8. 64.23

10. 51.317

Step-by-step explanation:

tan^-1(29/14) = 64.23

cos^-1(25/40) = 51.317

7 0
3 years ago
hey free brainliest and points yall wanna talk also whats 5,000 - 346 + 2,000 divided by 24? plz help
lakkis [162]

Answer:

4737.33333333

Step-by-step explanation:

7 0
3 years ago
SOMEONE PLZ GELP WITH NUMBER ONE.
vitfil [10]

Answer:

900

Step-by-step explanation:

Each group of 3 starred angles plus the 4th angle which is an interior angle of the triangle has a total measure of 360 degrees. The sum of the measures of the three angles of the triangle is 180 degrees.

total measure of the starred angles = 4 * 360 - 180

total measure = 900 degrees

7 0
3 years ago
Other questions:
  • Which property was applied to create this equivalent expression? 7x+(5+6×)---&gt;(7x+5)+6x
    8·2 answers
  • Timothy bought concrete mix for several projects. He used
    10·2 answers
  • Can someone please answer 1-4
    5·1 answer
  • Multiple similarity transformations are performed on a triangle. Which elements must be preserved? orientation side length angle
    15·2 answers
  • How is the product of 3 and –2 shown using integer tiles?
    5·2 answers
  • Find the supplementary angle of 116 degrees.
    11·1 answer
  • Which ordered pair is a solution to the system of inequalities?
    15·1 answer
  • June spent $78.91 on her pizza at Mellow Mushroom. She spent $6.65 on her drinks. How much more did she spend on pizza than drin
    13·1 answer
  • Is it equilateral or equiangular or regular?
    5·1 answer
  • In a survey, 10% of people live in a city. If 60 people live in a city, how many people were surveyed?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!