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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

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70 students choose to attend one of three after school activities: football, tennis or running. There are 30 boys. 13 students c
sweet [91]

Answer:

13/35

Step-by-step explanation:

13 students choose football.

31 students choose tennis.

this leaves 26 students that chose running.

probability of choosing running is 26/70 = 13/35

4 0
3 years ago
Write the hypothesis and the conclusion of each conditional. I can’t sleep if I’m not tired.
Keith_Richards [23]

<em>Answer:</em>

<em>its telling you he is not tired and he doesn't want to sleep</em>

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5 0
3 years ago
Private nonprofit four-year colleges charge, on average, $27,293 per year in tuition and fees. The standard deviation is $7,235.
Natali5045456 [20]

Answer:

a) X\sim(27293,(7235)^2)

b) 0.1567

c) P_{70}=31084.14

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $27,293 per year

Standard Deviation, σ = $7,235

We are given that the distribution of cost of college is a bell shaped distribution that is a normal distribution.

a) Distribution of X

Let X be the cost for a randomly selected college. Then,

X\sim (\mu, \sigma^2)\\X\sim(27293,(7235)^2)

b) Probability that a randomly selected Private nonprofit four-year college will cost less than $20,000 per year.

P( x < 20000) = P( z < \displaystyle\frac{20000 - 27293}{7235}) = P(z < -1.008)

Calculation the value from standard normal z table, we have,  

P(x < 20000) = 0.1567

c) 70th percentile for the distribution.

We have to find the value of x such that the probability is 0.7

P( X < x) = P( z < \displaystyle\frac{x - 27293}{7235})=0.7  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 27293}{7235} = 0.524\\\\x = 31084.14  

The 70th percentile for the distribution of college cost is $31,084.14

4 0
3 years ago
Which description compares the vertical asymptote(s) of Function A and Function B correctly?
r-ruslan [8.4K]
Function A:  f(x)=\frac{1}{x}+4.  Vertical asymptotes are in the form x=, and they are a vertical line that the function approaches but never hits.  They can be easily found by looking for values of <em>x</em> that can not be graphed.  In this case, <em>x</em> cannot equal 0, as we cannot divide by 0.  Therefore <em>x</em>=0 is a vertical asymptote for this function.  The horizontal asymptote is in the form <em>y</em>=, and is a horizontal line that the function approaches but never hits.  It can be found by finding the limit of the function.  In this case, as <em>x</em> increases, 1/<em>x</em> gets closer and closer to 0.  As that part of the function gets closer to 0, the overall function gets closer to 0+4 or 4.  Thus y=4 would be the horizontal asymptote for function A.
Function B:  From the graph we can see that the function approaches the line x=2 but never hits.  This is the vertical asymptote.  We can also see from the graph that the function approaches the line x=1 but never hits.  This is the horizontal asymptote.
3 0
3 years ago
Read 2 more answers
In Wellington, a city of 360,000 citizens, there has been an outbreak of vampires and werewolves There are 3,000 people infected
Alex17521 [72]

Answer:

0.0286 or 2.86%

Step-by-step explanation:

The total number of people that have werewolfism is 21,000.

Of those 21,000, 600 also have vampirism, while the remaining 20,400 do not. Therefore, the probability that someone has vampirism, given that they have werewolfism is:

P(V|W)=\frac{N_{V\cap W}}{N_W}\\P(V|W)=\frac{600}{21,000} \\P(V|W)=0.0286=2.86\%

The probability is 0.0286 or 2.86%.

3 0
3 years ago
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