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
"Trust is like paper, once it's crumpled it can't be perfect again" meaning what?
NISA [10]
If you crumble paper it is hard to uncrumble like trust
8 0
3 years ago
Caroline is making some table decorations.
jolli1 [7]

Answer:

Caroline buys 3 packs of candles and 5 packs of holders.

Step-by-step explanation:

1.) You need to add numbers of candle packs together until they both reach the same number, for example, multiples of 30 are 30, 60, 90.

2.) Then you add multiples of the holders. 18, 36, 54, 72, 90.

3.) You find that Caroline buys 3 pakcs of candles and 5 packs of holders to have the same number of both.

6 0
3 years ago
An aquarium measures 61 cm long, 30.5 cm wide, and 30.5 cm high.If the tank is only filled to 80% capacity with water, how much
LiRa [457]

Answer:

V=45396.2\ cm^3

Step-by-step explanation:

Given that,

The dimensions of an aquarium are 61 cm long, 30.5 cm wide, and 30.5 cm high.

The tank is filled to 80% capacity with water.

We need to find the water needed for this tank.

The volume of cuboid is given by :

V=lbh

As it is filled to 80% capacity, so,

V=\dfrac{80}{100}\times lbh\\\\=0.8\times 61\times 30.5\times 30.5\\\\V=45396.2\ cm^3

So, 45396.2\ cm^3 of water is needed for this tank.

5 0
2 years ago
You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?
Evgen [1.6K]
The answer is C. This would make the total cost 90 dollars without paying for a membership card or shipping.
3 0
3 years ago
Read 2 more answers
Express each ratio as a fraction in lowest terms.
uranmaximum [27]
1. 5/6
2. 7/1
3. 1/7
Just write the first number as the numerator and the second one as a denominator then divide by their common factors
6 0
3 years ago
Other questions:
  • The ages of the guest on a museum tour are 32, 14, 18, 29, 65, 50, 48, 44, and 28. Find the five-number summary of the ages. Can
    12·2 answers
  • Round 144 to the nearest 100.
    7·2 answers
  • HELP!!!!!!!!!!!!!
    9·1 answer
  • Refer to the values described below, then identify which of the following is most appropriate: discrete random variable, a. Resp
    5·1 answer
  • Trên tập hợp số thực cho quan hệ tương đương T như sau: m, n : mTn ⇔ m^3-n^3= m-n . Tìm lớp tương đương của 0 và lớp tương đương
    15·1 answer
  • PLEASE HELP NO TROLLS<br> 5. Find the measure of angle A. *
    10·1 answer
  • Please help !! <br><br> What is the general equation to the √x?
    14·1 answer
  • A number is multiplied by 6, then 8 is subtracted from the product. The result is
    12·1 answer
  • Mica has 5.3 gallons of gas left in the tank of her car. Her car gets 30 miles to the gallon on the highway. She wants to travel
    7·2 answers
  • 4x+5=x+8<br> Please help thx
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!