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DochEvi [55]
3 years ago
6

A study on students drinking habits wants to determine the true average number of alcoholic drinks all fsu undergraduate student

s who are members of a fraternity or sorority have in a one week period. We know from preliminary studies that the standard deviation is around 2.6. How many students should be sampled to be within 0.25 drinks of population mean with 95% probability?
Mathematics
1 answer:
Sedbober [7]3 years ago
4 0

Answer:

416

Step-by-step explanation:

Standard deviation is 2.6

Margin error for the problem is 0.25

Probability 95%, that means thet the siginficance level α is 1 – p

α = 1 – 0.95 = 0.05

margin of error (ME) can be defined as follows

ME = Z(α/2) * standard deviation/ √n

Where n is the sample size

Z(0.05/2) = Z(0.025)

Using a z table Z = 1.96

Now, replacing in the equation and find n

.25 = 1.96 * 2.6/ √n

0.25 = 5.096/√n

√n = 5.096 /0.25

√n = 20.38

n = 20.38^2

n = 415.5 = 416

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Josh travels frequently. For a particular airline, it takes 20 minutes for the first bag to arrive in baggage claim after a flig
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Using the uniform distribution, it is found that:

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C) 20% of the time does Josh’s bag arrive in less than 22 minutes.

--------------------------

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

--------------------------

  • In the graph, we have that the distribution is uniform between 20 and 30 minutes, thus a = 20, b = 30

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Itens a and b:

  • Above 27 minutes, thus:

P(X > 27) = \frac{30 - 27}{30 - 20} = 0.3

0.3 of the time does it take longer than 27 minutes for Josh’s bag to arrive in baggage claim.

--------------------------

Item c:

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P(X < 2) = \frac{22 - 20}{30 - 20} = 0.2

0.2*100 = 20%

20% of the time does Josh’s bag arrive in less than 22 minutes.

A similar problem is given at brainly.com/question/15855314

6 0
3 years ago
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A patio in the shape of a regular octagon (8-sided figure) has a side length of 24 ft and an apothem length of 60 ft. What is th
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Octagon-shaped patio
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apothem length = 60ft

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8 0
3 years ago
Please help me! DO NOT SEND LINK!
svet-max [94.6K]

Answer:

<u>So option 4; </u>\frac{35}{100}<u> is the correct option</u>

Step-by-step explanation:

First, we need to convert \frac{2}{10} so it's denominator is 100. To do so, we will multiply the numerator and denominator by 10

\frac{2}{10} *\frac{10}{10} = \frac{20}{100}

Second, we need to add the two fractions to get the current total distance walked. Remember, when adding fractions, the denominator does not change.

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Now that we have the total distance walked, we need to subtract that to 1 mile. 1mile=\frac{1}{1} = \frac{10}{10} =\frac{100}{100}

\frac{100}{100} -\frac{65}{100} = \frac{35}{100}

So option 4; \frac{35}{100} is the correct option

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3 years ago
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