You ask an srs of 1500 college students whether they applied for admission to any other college. suppose that in fact 35% of all college students applied to colleges besides the one they are attending. (that’s close to the truth.) the sampling distribution of the proportion of your sample who say “yes” is approximately normal with mean 0.35 and standard deviation 0.01. choose the best answer for each problem below. answers may be use once, more than once or not at all. what percentage of many samples would have a sample proportion less than .335? use z-score (standard score) to find this answer. what percentage of many samples would have a sample proportion larger than 0.37? (use the 68–95–99.7 rule.) what is the probability that your sample will have a proportion less than 0.33?

a: 11.12%

b: about 2.5%

c:  about 2.5%

Step-by-step explanation:

For this situation:  

n = 1500

p = 0.35

q = 1 - p = 0.65

a: Find: P(p < 0.335)

See attached photo 1 for the solution

b. Find P(p > 0.37)

Since it says that σ = 0.01, and it's asking for the percent of the  proportion larger than 0.37, they are asking for the percent of the proportion that is 2 standard deviations higher than the mean.  Using the 68-95-99.7 rule, we have a total of 5% of data that is more than 2 standard deviations away, but that is on both sides of the mean.  Divide that in half to get the total above 0.37.  So there should be about 5%/2 = 2.5% of the proportions.

c: Find P(p < 0.33)

0.33 is 2 standard deviations below the mean, so the percentage is 2.5% for similar reasons for part b

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

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so technically the answer is  

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$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

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$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

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=

$

6.97

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add

$

94.09

related questions

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.