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Anuta_ua [19.1K]
2 years ago
5

The BYU testing center is known for being the location with the most prayers said per capita. Researchers asked a random sample

of 49 BYU students in winter 2019 to estimate the number of prayers they said in the BYU testing center the previous semester. Researchers plan to use these data to estimate the mean number of prayers said by students the previous semester in the BYU testing center with 99% confidence. They obtained a sample mean of 10.92 prayers with a standard deviation of 7.53. What is the confidence interval estimate?'
Mathematics
1 answer:
lozanna [386]2 years ago
8 0

Answer: (8.149,\ 13.691)

Step-by-step explanation:

Given : Sample size : n= 49, it means its a large sample.

Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Sample mean: \overline{x}=10.92

Standard deviation: \sigma=7.53

The confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=10.92\pm (2.576)\dfrac{7.53}{\sqrt{49}}\\\\\approx10.92\pm2.771=(10.92-2.771,10.92+2.771)=(8.149,\ 13.691)

Hence, the 99% confidence interval for population mean=  (8.149,\ 13.691)

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7 0
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Kinda need help anything helps
katovenus [111]
First you have to find the slope with the equation y2 - y1 / x2 - x1 , then once you have found the slope (slope = -2) you simply plug it into the point slope formula. y-0 = -2(x-5) solving it algebraically you should arrive at Y=-2x+10. (the 5 and 0 were plugged in are two of the X and Y points of the line which is why we plugged them into the X and Y values of the equation)
6 0
3 years ago
hanna buys 3 packs of 36 exposure film and 2 packs of 24 exposure film. she uses 8 rolls of film. how many rolls does she have l
RSB [31]
To solve this problem, first we have to figure out how many total rolls Hanna buys.

3 packs*36 rolls in each pack = 108 total rolls
2 packs*24 rolls in each pack = 48 total rolls

108 rolls + 48 rolls = 156 rolls.

Next, it says that Hanna uses 8 rolls of film.  To model this in our expression, we need to subtract 8 rolls from our total amount.  

156-8 = 146 rolls

Hanna has 146 rolls left.


7 0
3 years ago
Read 2 more answers
Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the dif
Novay_Z [31]

Answer: Step 1: Reverse the signs of 6x^3-2x + 3 expression.

Step 2: Removing parenthesis

Step 3: Grouping like terms

Step 4: Combing like terms

Step 5: Writing the final expression in standard form

Step-by-step explanation: First expression :6x^3-2x + 3

Second expression : -3x^3+5x^2+4x-7.

We need to subtract 6x^3-2x + 3 from -3x^3+5x^2+4x-7.

Step 1: Reverse the signs of 6x^3-2x + 3 expression.

(-3x^3+5x^2+4x-7)+(-6x3+2x-3)

Step 2: Removing parenthesis

(-3x^3) +5x^2+4x + (-7) + (-6x^3) + 2x + (-3)

Step 3: Grouping like terms

[-3x^3) + (-6x^3)] + [4x + 2x] + [(-7) + (-3)] + [5x^2]

Step 4: Combing like terms

-9x^3 + 6x + (-10) + 5x^2

Step 5: Writing the final expression in standard form

-9x^3 + 5x^2 + 6x-10



8 0
3 years ago
Read 2 more answers
Please help! please show the work and not give me and answer thank you ❤️
Citrus2011 [14]

Ans. 1 Angle E and angle F are corresponding angles.

Solution 2.

So,

angle E = angle F

=> x + 20 = 5x - 20

=> x + 20 + 20 = 5x

=> x + 40 = 5x

=> 40 = 5x - x

=> 40 = 4x

=> 40/4 = x

=> 10 = x

Solution 3.

E = x + 20

=> E = 10 + 20

=> E = 30

F = 5x - 20

=> F = 5(10) - 20

=> F = 50 - 20

=> F = 30

<em>Again</em><em> </em><em>justified</em><em> </em><em>that </em><em>they </em><em>are </em><em>equal</em><em> (</em><em> </em><em>besides</em><em> </em><em>answer </em><em>1</em><em>)</em><em>.</em>

8 0
3 years ago
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