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lianna [129]
3 years ago
15

Determine the sample size needed to construct a 99​% confidence interval to estimate the average GPA for the student population

at a college with a margin of error equal to 0.7. Assume the standard deviation of the GPA for the student population is 1.0. The sample size needed is nothing. ​(Round up to the nearest​ integer.)
Mathematics
1 answer:
Volgvan3 years ago
3 0

Answer: n = 14

Step-by-step explanation: margin of error = critical value × σ/√n

Where σ = population standard deviation = 1

n = sample size = ?

We are to construct a 99% confidence interval, hence the level of significance is 1%.

The critical value for 2 tailed test at 1% level of significance is gotten from a standard normal distribution table which is 2.58

Margin of error = 0.7

0.7 = 2.58×1/√n

0.7 = 2.58/√n

By cross multipying

0.7×√n = 2.58

By squaring both sides

0.7^2 × n = 2.58^2

0.49 × n = 6.6564

n = 6.6564/0.49

n = 14

You might be interested in
Factors and common factors of 24,64,88
babunello [35]
24- 1,2,3,4,6,8,12,24
64-1,2,4,8,16,32,64
88-1,2,4,8,11,22,44,88

Here are all the factors.^^
The common factors are 1,2,3,4,6
Hope this helps!
8 0
3 years ago
Ellie drives 22.5 miles in 45 minutes. If she drove three hours in total at the same rate, how far did she go?
Scilla [17]

Answer:

Ellie drove 90 miles in three hours.

Step-by-step explanation:

6 0
3 years ago
Target pays $13 per pair of sunglasses and uses 30% markup rate. What is targets selling price for the sunglasses?
Elena L [17]

Answer:

$16.90

Step-by-step explanation:

First you need to find how much the markup is in dollars.

Multiply 13(0.3).

This will give you 3.9.

Then you add this to the original cost of the glasses.

13+3.9= 16.9.

So, the final cost of the glasses is $16.90.

3 0
3 years ago
Find the geometric mean of 16 and 36. Write your answer in simplest form. The geometric mean is​
Ede4ka [16]

Answer:

Step-by-step explanation:

the geo. mean is the nth root of the product of n numbers

Here there are two numbers; geo. mean is the square root of their product

g = √(16 * 36)

g = 4 * 6

g = 24

8 0
3 years ago
Need help fast, being timed!!
tamaranim1 [39]

Answer:

Mr. Roland’s class was more successful because his class’s lower quartile was the same as Mrs. Cai’s class’s upper quartile.

Step-by-step explanation:

From given scatter plot, we see that upper quartile of Mrs. Cai's class = 4

lower quartile of Mr. Roland’s class = 4

Both are equal so that means.

That means Mr. Roland’s class was more successful because his class’s lower quartile was the same as Mrs. Cai’s class’s upper quartile.


Hence last choice is correct.

4 0
3 years ago
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