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a_sh-v [17]
2 years ago
12

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. determ

ine a 95 % confidence interval for the population proportion of college seniors who plan to attend graduate school. (enter each answer rounded to three decimal places.)
Mathematics
1 answer:
Temka [501]2 years ago
8 0
The confidence interval would be (0.122, 0.278).

We first find our z-score.  We want a 95% confidence interval:

0.95/2 = 0.475

Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.

The formula we will use is:

p \pm z\sqrt{\frac{p(1-p)}{n}}

In this problem, p = 20/100 = 0.2, and n=100:

0.2 \pm 1.96\sqrt{\frac{(0.2)(0.8)}{100}}
\\
\\0.2\pm 0.0784
\\
\\(0.2-0.0784, 0.2+0.0784)
\\
\\(0.1216,0.2784)
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Marine scientists have previously measured the weight of a wide-ranging fish to be 9.0 lbs with a standard deviation of 0.35 lbs
fenix001 [56]
Given:
Actual: 9.0 lbs with standard deviation of 0.35 lbs
sample: 8.2 lbs

standard deviation means that the fish caught should be within the range of  8.65 and 9.35

9.00 + 0.35 = 9.35 lbs
9.00 - 0.35 = 8.65 lbs

The sample that had an average weight of 8.2 lbs is not a representative of the population because its weight goes beyond the standard deviation. 
8 0
2 years ago
) What is the difference between a sequence and a series? A sequence is an ordered list of numbers whereas a series is an unorde
vivado [14]

Answer:

a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers; b) A series is divergent if it is not convergent. A convergent series is a series for which lim n → ∞ an exists.

Step-by-step explanation:

A sequence is a pattern; it is an ordered list of numbers.  A series, however, is the sum of a sequence.

A convergent series is a series for which the sequence of its partial sums tends to a limit; this means the limit exists.  A divergent series is a series that is not convergent.

7 0
2 years ago
How to solve q =r/2(s+t) for t
Lera25 [3.4K]
<span>q =r/2(s+t) for t
</span><span>2q =r(s+t) 
2q = rs + rt
rt = 2q - rs
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hope it helps</span>
4 0
2 years ago
Here are the ingredients for making fish pie for 6 people.
yarga [219]
Clare would need 80 of fish, (1/3 of 240 is 80.)
Ian would need 200g of butter (If you find the amount of each ingredient needed for a one person-pie, and multiply them by the amount of people you need to feed, you will get your answer.)
We know that 80g of butter is used for 6 people, so by dividing 80 by 6, we know that for a one person-pie, you would need 13.33g of butter. Multiply 13.33 by 15 to find out how many grams of butter he would need for a pie for 15 people.
6 0
2 years ago
8% of the employees at a shop work part time. If there are 4 part time employees at the shop, how many employees are there in to
Murljashka [212]

Answer:

50 employees

Step-by-step explanation:

We can set up a proportion which would be

4/x = 8/100

This shows 4 out of x people is the same as 8% of 100.

We divide 100 by 8, and then multiply by 4 to get 50.

We can check this by plugging 50 into the proportion.

4/50 = 0.08

8/100= 0.08

There are 50 total employees at the shop.

4 0
2 years ago
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