1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ZanzabumX [31]
3 years ago
13

It is desired to estimate the mean GPA of each undergraduate class at a large university. How large a sample is necessary to est

imate the GPA within at the confidence level? The population standard deviation is . If needed, round your final answer up to the next whole number.
Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer:

n=(\frac{2.58(1.2)}{0.25})^2 =153.36 \approx 154

So the answer for this case would be n=154 rounded up to the nearest integer

Step-by-step explanation:

Assuming the following question: It is desired to estimate the mean GPA of each undergraduate class at a large university. How large a sample is necessary to estimate the GPA within 0.25 at the 99% confidence level? The population standard deviation is 1.2. If needed, round your final answer up to the next whole number.

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =0.25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.005;0;1)", and we got z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(1.2)}{0.25})^2 =153.36 \approx 154

So the answer for this case would be n=154 rounded up to the nearest integer

You might be interested in
I'm stuck on this question:<br><br> What's 100 divided by 2?
koban [17]

Answer:

50

Step-by-step explanation:

100 into 2 parts is 50

5 0
3 years ago
Help me please help help help help
Elena L [17]

Answer:

area of trapezium:

a+b divided by 2, times by the height.

so its 8+20=28.

28/2=14.

14*14=196.

area=196

Step-by-step explanation:

4 0
2 years ago
The question is on the picture
Vadim26 [7]

<em>Answer,</em>

100,000,000 > 334,605,925

But, 100,000,000 is smaller that 334,605,952

So, It would be "100,000,000 < 334,605,925"



7 0
3 years ago
Taylor and Jesse are buying a magazine for $3.75 and a snack for $2.49 what is s the total cost of the two items?
Kazeer [188]

Hey There!

The answer you are looking for is; $6.24!

Work:

You simply add $3.75 + $2.49 together.

Since .75 + .29 = 1.24, you carry the one over to the full dollar.

3 + 2 + 1 = 6.

= 6.24

Hope I helped! 5 stars and brainliest are always appreciated.

7 0
3 years ago
Read 2 more answers
The Earth has a mass of about 6 x 1024 kg. Neptune has a mass of 1 x 1026 kg.
Leno4ka [110]
Neptune is about four times wider than Earth.
8 0
2 years ago
Other questions:
  • Omg it was wrong help!!!!!
    8·2 answers
  • Did I do the problem -2x+10=-2(x+5) ? If not plz explain and answerthxx
    13·1 answer
  • Solve the equation. −7 =h5
    12·1 answer
  • Mira has $760 in her bank account and withdraws $40 each month. Paulina has $210 in her bank account and deposits $70 each month
    13·1 answer
  • Divide and simplify completely. Assume that no denominator equals zero. d^2-1/d^2-d divided by d - 1/d
    15·1 answer
  • - 9y2 (2y2 + 3y - 9)
    11·2 answers
  • Which number produces a rational number when added to 5/8 ?
    13·1 answer
  • PLEASE HELP ME AS SOON AS POSSIBLE!!!!!! FIVE AND SIX PLEASE
    14·1 answer
  • Simplify 3 x n x p x 6
    13·1 answer
  • Which of the following are alternate exterior angles?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!