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Pavel [41]
3 years ago
5

A random sample of 10 recent college graduates found that starting salaries for accountants in New York City had a mean of $47,5

89 and a standard deviation of $11,364. There are no outliers in the sample data set. Construct a 95% confidence interval for the average starting salary of all accountants in the city.
A. (40545.52, 54632.48)

B. (39460.25, 55717.75)

C. (39582.43, 55595.57)

D. (39020.54, 56157.46)
Mathematics
1 answer:
MAXImum [283]3 years ago
7 0

Answer:

B. (39460.25, 55717.75)

Step-by-step explanation:

Our sample size is 10.

The first step to solve this problem is finding how many degrees of freedom there are, that is, the sample size subtracted by 1. So

df = 10-1 = 9

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 9 and 0.025 in the t-distribution table, we have T = 2.26.

Now, we need to find the standard deviation of the sample. That is:

s = \frac{11.364}{\sqrt{10}} = 3593.6

Now, we multiply T and s

M = T*s = 2.262*3593.61 = 8128.75

For the lower end of the interval, we subtract the mean by M. So 47589 - 8128.75 = 39460.25

For the upper end of the interval, we add the mean to M. So 47589 + 8128.75 = 55717.75.

The correct answer is:

B. (39460.25, 55717.75)

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4 yards to 30 inches write each ratio in simplest form
MissTica

Answer:

24:5

Step-by-step explanation:

4 yards is 3 feet, so 4*3=12. There are 12 inches in a foot, so 12*12=144. 144:30= 72:15 = 24:5

6 0
2 years ago
How many meters are there in 33 km?
s2008m [1.1K]
1000 meters make 1km. So let's compare that with the question.
1000m=1km
Y=33km
I represented the unknown with Y. Next, you have to cross and multiply. 33 will multiply 1,000 to give 33,000. And Y will multiply 1 to give Y. That will be;
Y=33,000m
33km makes 33,000m.
Hope that helped. Have a nice day
8 0
3 years ago
If a tax percentage is 8% how much money would something $30 be?
lora16 [44]
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6 0
3 years ago
An elf ate 15 of your muffins. that was 5/8 of all of them. how many are left?
zavuch27 [327]

Answer: 9

Step-by-step explanation:

An elf ate 15 of your muffins and that was 5/8 of all of them. To get the number of muffins left goes thus:

We can first calculate the total number of muffins the person had. Let the total number of muffins be y. That means the elf ate 5/8 of y.

5/8 of y = 15

5/8 × y = 15

0.625 × y = 15

0.625y = 15

Divide both side by 0.625

0.625y/0.625 = 15/0.625

y = 24

The total amount of muffins is 24. Since the elf has eaten 15, the amount left will be: 24-15 = 9

6 0
2 years ago
A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18%. How man
Sonja [21]
You just multiply 450 by .18 and it'll give you the 18% you have to add to 450.
So the equation would look like:

450(.18)=81

Which you then add:

450+81= 531

So 531 is your total!
6 0
3 years ago
Read 2 more answers
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