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]
2 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:
german2 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
How much is 290 dimes
sweet [91]
$29.00 and you can also multiply too is is a cool way
7 0
2 years ago
Read 2 more answers
given the points a (-1,2) and (7,14), find the coordinates of the point p on directed line segment ab that partitions ab in the
Vinvika [58]
Check the picture below.

\bf \left. \qquad  \right.\textit{internal division of a line segment}&#10;\\\\\\&#10;a(-1,2)\qquad b(7,14)\qquad&#10;\qquad 1:3&#10;\\\\\\&#10;\cfrac{aP}{Pb} = \cfrac{1}{3}\implies \cfrac{a}{b} = \cfrac{1}{3}\implies 3a=1b\implies 3(-1,2)=1(7,14)&#10;\\\\&#10;-------------------------------\\\\&#10;{ P=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}

\bf -------------------------------\\\\&#10;P=\left(\cfrac{(3\cdot -1)+(1\cdot 7)}{1+3}\quad ,\quad \cfrac{(3\cdot 2)+(1\cdot 14)}{1+3}\right)&#10;\\\\\\&#10;P=\left( \cfrac{-3+7}{4}~,~\cfrac{6+14}{4} \right)

3 0
3 years ago
Best estimate for 89% of 152?
Karolina [17]
<span>135.28 should be it is that all the probm</span>
6 0
3 years ago
To whom are you more likely to give a tip of $2?
Lisa [10]
Valet is the answer...
7 0
3 years ago
Read 2 more answers
Jorge bought 16 apples for $8.00.
dem82 [27]

Answer:

x=16

y=8.00

8/16=0.5  (50 cents per apple)

y=0.5x+0

7 0
3 years ago
Other questions:
  • Iodine-125 has a half-life of about 60 days.
    10·1 answer
  • The formula for the area of a triangle is a =1/2bh in which b represents the length of the base Andy represents the height. If a
    15·2 answers
  • I really need help with this, so could you help a little girl...?
    8·1 answer
  • The owner of a garden center pays $12 for each birdbath. She sells them for 55% more than she
    7·2 answers
  • Khan Academy sucks help plz
    14·2 answers
  • Does this graph present a function with or why not?
    13·1 answer
  • Which expression is equivalent to<br> 128x8,329 ? Assume y20 and 720
    13·1 answer
  • Hey what's the answer !!<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B98%20-%20%28%2017%29%7D%20" id="TexFormula1" titl
    9·2 answers
  • What is the average rate of change for this function for the interval from x = 1
    11·1 answer
  • A scientist makes an acid solution by adding drops of acid to 1.2 L of water. The final volume of the acid solution is 1.202 L.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!