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
GarryVolchara [31]
2 years ago
15

A bottle filling process has a setting of 48 ounces which is exactly what consumers want when they buy the vegetable oil. A rand

om sample of 36 bottles produced a sample mean of 48.15 ounces with a standard deviation of 0.3 ounces. Test the hypothesis at the 2% level of significance.
Mathematics
1 answer:
Arturiano [62]2 years ago
7 0

Answer with explanation:

Given : A bottle filling process has a setting of 48 ounces which is exactly what consumers want when they buy the vegetable oil.

Let \mu represents the population mean .

Then, the set of hypothesis will be:-

H_0: \mu=48

H_a:\mu\neq48 , since the alternative hypothesis is two-tailed , so the hypothesis test is a two-tailed test.

We assume that this is normal distribution.

Sample size : n =36, which is a large sample (z<30) , so we use t-test.

Sample mean : \overliene{x}=48.15\text{ ounces}

Standard deviation : \sigma=0.3\text{ ounces}

The test statistic for population mean for large sample is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

z=\dfrac{48.15-48}{\dfrac{0.3}{\sqrt{36}}}=3

The p-value = 2P(z>3)=0.0026998

Since the p-value is less than the significance level of 0.02 , therefore we reject the null hypothesis and support the alternative hypothesis.

Thus we conclude that we do not have enough evidence to support the claim that a bottle filling process has a setting of 48 ounces which is exactly what consumers want when they buy the vegetable oil.

You might be interested in
Help! Brainly to the first person!
barxatty [35]
It’s 60! i had that and got it correct. hope this helps :)
8 0
3 years ago
Liam has purchased a fee-for-service health insurance plan from Leroux Health Insurance. Plan A includes a $248.00 monthly premi
Lerok [7]
Liam will only have to pay $211 per month for health care related feed this year because the annual deductibles will only be in effect if he continues to visit his physician and chiropractor regularly. This will put the insurance company at ease that he is at his most healthy state.
8 0
3 years ago
Read 2 more answers
Pleaseeeeeeee friends
IgorC [24]
B(x)=x2+3
I believe so
3 0
2 years ago
At a restaurant the bill for a family's dinner is $52.29. The family adds a tip of 15% of that cost.what is the amount of the ti
Setler [38]

Answer: The answer is $7.84 but that’s not a choice so I would go with $7.83

Step-by-step explanation:

5 0
2 years ago
How long can I talk on the phone if they charge 8 cent a minute and I have 90 cents
NeTakaya
U can talk only for 11 minutes and have 2cents left
6 0
3 years ago
Read 2 more answers
Other questions:
  • Sara baked chocolate chip cookies and oatmeal cookies. The ratio of chocolate chip cookies to oatmeal cookies is 3:2. If she bak
    14·2 answers
  • The amount of snowfall over 6 months in Michigan was 2, 12, 8, 18, 8, and 0 inches. find the range and median of the monthly sno
    8·2 answers
  • Change 3/4 to twelfths
    8·1 answer
  • The following list shows the items and prices for a restaurant order. Calculate the total amount if there is 7.5% tax and the cu
    15·2 answers
  • Is 2/5 equivalent to 0.25
    7·2 answers
  • Does the diagram below represent balanced or unbalanced forces​
    12·2 answers
  • Which of the following are the correct answers??
    10·2 answers
  • The following ordered pairs model a linear function rule.
    5·2 answers
  • Write an equation for..
    6·2 answers
  • I need help on this problem, if you can help me ill really be grateful. If you could also explain it that would be great.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!