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
DerKrebs [107]
3 years ago
13

A certain brand of jelly beans are made so that each package contains about the same number of beans. The filling procedure is n

ot perfect, however. The packages are filled with an average of 375 jelly beans, but the number going into each bag is normally distributed with a standard deviation of 8. You went to the store and purchased six bags of this brand of jelly beans in preparation for a Holiday party. You counted the number of jelly beans in these packages and found your six bags contained an average of 370 jelly beans. Is there any evidence to suggest that the bags are underfilled at 0.05 level? What is the p-value?
a.p=038.
b. Data is not normal; do not test.
c. p=.063.
d. p=.093
Mathematics
1 answer:
pantera1 [17]3 years ago
7 0

Answer:

p=0.063

Step-by-step explanation:

Let X be number of the certain brand of jelly beans that are made so that each package contains about the same number of beans.

X is N(375, 8)

YOu are collecting a sample size of

n = 8

Findings from the sample

\bar x =370\\

H_0: \bar x =375\\H_a: \bar x

(Left tailed test at 5% level)

Since sample size is small though sigma is known we use Z test, since norm

Mean difference = -5

Std error = \frac{8}{\sqrt{8} } =2.828

Test statistic t = mean diference / std error = \frac{-5}{2.828} \\=-1.768

df = n-1 =5

p value = 0.063

You might be interested in
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? {–12, 2} {–2, 12}
guajiro [1.7K]

Answer: I could be wrong so don't get your hopes up but I believe the solution set would be {-2,12}

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A boat heads south at 120 mph while a steamer heads east at 50 mph. If they started from the same dock and at the same time, whe
Snezhnost [94]

Answer:

  1 hour after they leave

Step-by-step explanation:

The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...

  √(5²+12²)=√169 = 13

That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.

So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.

8 0
3 years ago
Read 2 more answers
If tan theta =3, find the value of tan theta + tan (theta+pi) + tan (theta +2pi)
sweet-ann [11.9K]

Answer:

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9

Step-by-step explanation:

Given

tan\theta = 3

Required

Find

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)

Calculate tan(\theta + \pi) \ and\ tan(\theta+2\pi)

Using tan rule

tan(\theta + \pi)  = \frac{tan\theta + tan\pi}{1 - tan\theta tan\pi}

So:

tan(\theta + \pi)  = \frac{tan\theta + 0}{1 - tan\theta *0}

tan(\theta + \pi)  = \frac{tan\theta}{1 }

tan(\theta + \pi)  = \tan\theta

tan(\theta+2\pi)

tan(\theta + 2\pi)  = \frac{tan\theta + tan2\pi}{1 - tan\theta tan2\pi}

tan(\theta + 2\pi)  = \frac{tan\theta + 0}{1 - tan\theta *0}

tan(\theta + 2\pi)  = \tan\theta'

'So:

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = tan\theta +tan\theta +tan\theta

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 3+3+3

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9

4 0
2 years ago
Helpppp pleaseeee I need it tonight
snow_tiger [21]
What you want to first is substitute the numbers in for the variables in the equation

Since b= -5 , we will plug it in for -b

-5 + c = -13x

Now plug in -8 for c

-5 + (-8) = -13x

Add the numbers on the left side, which gives you -13.

-13 = -13x

Lastly, divide both sides by -13x, which will give you 1.

So x = 1
4 0
3 years ago
Kelly deposits $3,000 at a rate of 5.2% compounded quarterly. With no additional deposits or withdrawals, what is the account ba
lorasvet [3.4K]
\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to 5.2\%\to \frac{5.2}{100}\to &0.052\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &10
\end{cases}
\\\\\\
A=3000\left(1+\frac{0.052}{4}\right)^{4\cdot 10}\implies A=3000(1.013)^{40}
\\\\\\
A\approx 5029.201878874637
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the true solution to the logarithmic equation?<br>log2 [log2(sqrt4x)]=1​
    12·2 answers
  • The Point System is used as a way for the DMV to keep track of a motorist's driving record. You are most likely to receive point
    13·1 answer
  • Find the area of the shaded region of the square to the nearest square inch
    5·1 answer
  • Do all the dimes or all the nickels have a greater total value
    5·1 answer
  • 8.5x-6.1=-7.1<br><br> round to the nearest tenth
    5·2 answers
  • Is there a dilation that maps shape I onto shape II? If so, what is the scale factor, and is it an enlargement or a reduction?
    10·1 answer
  • Two lines, R and M, are represented by the following equations:
    13·2 answers
  • HELPPP I AM BEING TIMED!!!!
    5·2 answers
  • A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
    5·1 answer
  • A park is 5 miles east of Roxana's home. A library is 4 miles north of the park. How far is Roxana's home from the library? ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!