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
aleksandrvk [35]
3 years ago
11

The mean potassium content of a popular sports drink is listed as 145 mg in a 32-oz bottle. Analysis of 26 bottles indicates a s

ample mean of 144.4 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. H0: μ = 145 mg vs. H1: μ ≠ 145 mg H0: μ ≤ 145 mg vs. H1: μ > 145 mg H0: μ ≥ 145 mg vs. H1: μ < 145 mg a b c (b) Assuming a known standard deviation of 2.9 mg, calculate the z test statistic to test the manufacturer’s claim. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) Test statistic (c) At the 10 percent level of significance (α = .10) does the sample contradict the manufacturer’s claim? Decision Rule: Reject H0 The sample the manufacturer's claim. (d) Find the p-value. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) p-value
Mathematics
1 answer:
german3 years ago
5 0

Answer:

Step-by-step explanation:

Given that,

Sample size n= 26

Sample mean = 144.4mg

Population standard deviation = 2.9mg

a) Null and alternative hypothesis are

H₀ : μ = 145mg vs H₁ : μ ≠ 145mg

b) Test statistic is

Z=\frac{\bar x-u}{\sigma/\sqrt{n} } \\\\Z = \frac{144.4-145}{2.9/\sqrt{26} } \\\\=-1.05

c) the critical values at

\alpha = 0.10 are Z_{\alpha /2}= \pm 1.645

Since it is two-tailed test

Decision rule: reject H₀

If Z > +1.645 or if Z < -1.645

Here Z = - 1.05 > - 1.645

⇒ we fail to reject H₀

⇒ the sample does not contradict the manufacturers claim

d) P-value = 2* P( Z < -1.05)

= 2 * 0.1469

= 0.2938

⇒ P-value = 0.2938

You might be interested in
PLEASE ANSWER QUICK I NEED HELP!!!
yawa3891 [41]

Answer:

_____________Y= -2X-10 __________

4 0
3 years ago
Read 2 more answers
Is pi 3.14 or 22/7 whis of this is pi?
Tomtit [17]

Answer:

Both

Step-by-step explanation:

22/7 is the fraction version of pi

4 0
3 years ago
Read 2 more answers
How do you do that?????
Elden [556K]
This question is easy once you understand. So when adding, subtracting, multiplying, or dividing with whole numbers you turn it into a fraction. So 12 is going to become 12/1. 8 1/8 is a mixed number so we have to turn it into an incomplete fraction. Here is how you do it. Multiply the denominator by the who number. So 8 x 8 = 64. Then you add your product to the numerator, which will make it 65. Then after this you keep your denominator giving you 65/8. Now we have to find the common denominator by finding the LCM. So the LCM is 8. Next we divide the old denominator by the new denominator. So 1 goes into 8, 8 times. And next 8 x the numerator. so 8 x 12 = 96. We do the same to the other side. Now we have 96/8 - 65/8 = 31/8. Finally we make this a mixed number. So 31 divided by 8. So you should get 3 7/8. 

I hope this helps! :)
5 0
3 years ago
What does the information demonstrate about Alex’s investments? He should have invested in a commodity instead of a stock. He wo
Alekssandra [29.7K]

Answer:

Answer is C.

;) have good day

6 0
3 years ago
Read 2 more answers
Explain why a square can be classified as a rectangle
sergeinik [125]
You know how a puppy is a kind of dog, but not all dogs are puppies? Well, the same thing is true for lots of other categories of things, including squares and rectangles.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What are 3 ratios for 20 nails for every 20 shingles<br> (1/4)
    15·1 answer
  • List the next 3 pattern
    12·2 answers
  • Branloiest offered
    10·2 answers
  • What is the volume of the square pyramid ?
    9·2 answers
  • Graphing Logarithmic Function In Exercise,sketch the graph of the function.See example 1.
    11·1 answer
  • What is the simplest form of the product?<br> SqRt 63x^5y^3 • sqRt 14xy8
    12·2 answers
  • Examine the system of equations . y = 4x + 8 y = 4x - 1 Which statements best describe the two expressions? Check all that apply
    15·2 answers
  • Simplify the following expression log(x^2)-log(x)
    13·1 answer
  • (Please someone help me!) (No links!)
    6·1 answer
  • A glass holds 1 4 liter of liquid. How many glasses of liquid are in 5 liters? Please give a straight answer and an explanation
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!