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allochka39001 [22]
3 years ago
5

the bookstore normally sells mechanical pencils for ¢6.50 .this week the pencils are discounted by 25‰ to the nearest cent, what

is the amount of discount?
Mathematics
1 answer:
dezoksy [38]3 years ago
5 0
The discount takes off 1.63
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35. In a simple random sample of 25 high school students, the sample mean of the SAT scores was 1450, and the sample variance wa
Tatiana [17]

Answer:

1450-2.0\frac{30}{\sqrt{25}}=1450-12    

1450+2.0\frac{30}{\sqrt{25}}=1450+12    

And the best option would be:

c. 1450 +/- 12

Step-by-step explanation:

Information provided

\bar X=1450 represent the sample mean for the SAT scores

\mu population mean (variable of interest)

s^2 = 900 represent the sample variance given

n=25 represent the sample size  

Solution

The confidence interval for the true mean is given by :

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The sample deviation would be s=\sqrt{900}= 30

The degrees of freedom are given by:

df=n-1=2-25=24

The Confidence is 0.954 or 95.4%, the value of \alpha=0.046 and \alpha/2 =0.023, assuming that we can use the normal distribution in order to find the quantile the critical value would be z_{\alpha/2} \approx 2.0

The confidence interval would be

1450-2.0\frac{30}{\sqrt{25}}=1450-12    

1450+2.0\frac{30}{\sqrt{25}}=1450+12    

And the best option would be:

c. 1450 +/- 12

3 0
4 years ago
The mean age of 11 women in an office is 31 years old.
BlackZzzverrR [31]

Answer: 30.2

Explanation:

The mean is calculated by taking the sum of the values and dividing by the count.

For instance, for the 6 women, with the mean being 31, we can see that the ages summed to 186:

186

6

=

31

And we can do the same for the men:

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4

=

29

And now we can combine the sum and count of the men and women to find the mean for the office:

186

+

116

10

=

302

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=

30.2

Step-by-step explanation:

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