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Nesterboy [21]
3 years ago
5

Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate:_________.

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0

Answer:

B. z Subscript alpha divided by 2 zα/2 = 1.96.

Step-by-step explanation:

We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn​ girls:

n = 236​, \bar x = 30.3 ​hg, s = 7.2 hg. The confidence level is 95​%.

As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.

It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.

Here, \alpha = level of significance = 1 - 0.95 = 0.05 or 5%

         \frac{\alpha}{2}=\frac{0.05}{2} = 0.025 or 2.5%

So, the value of Z_(_\frac{\alpha}{2} _) in the z table is given as 1.96 with a 2.5% level of significance.

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Explain why you cannot factor the trinomial x(to the power of 2)−12x+6
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Answer:

See below

Step-by-step explanation:

You cannot find two whole number integers that give a sum of -12 and a product of 6.

-1 + -11 = -12, but (-1)(-11) = 11, which isn't 6

-2 + -10 = -12, but (-2)(-10) = 20, which isn't 6

...and so on...

4 0
2 years ago
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What is the least common multiple of15&25
nikklg [1K]
The LCM of 15 and 25 is 75.
3 0
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Mary is 2 times older than Bob and Bob is 5 years older than Sally. Sally is 10 years old how old is Bob
s344n2d4d5 [400]

Answer:

Bob is 15 years old.

Step-by-step explanation:

If Sally is 10 years old and Bob is five years older than Sally then we just need to add 10+5=15.

Hope this helps!!

8 0
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A round-robin tournament has 66 pairings. How many teams are in the tournament?
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Solve the proportions:
IRINA_888 [86]

<u>Answer:</u>

  • 6. 6.75
  • 7. 27
  • 8. 92/17
  • 9. 49

<u>Step-by-step explanation:</u>

<u>- Question 6 -</u>

  • 9/16 = x/12
  • => 16x = 12 x 9
  • => 16x = 108
  • => x = 6.75

Hence, <u>the value of x in this proportion is 6.75.</u>

<h3>_______________________________</h3>

<u>- Question 7 -</u>

  • -3 + x/18 = 12/9
  • => -3/18 + x/18 = 4/3
  • => x/18 = 4/3 + 1/6
  • => x/18 = 8/6 + 1/6
  • => x/18 = 9/6
  • => x = 9/6 x 18
  • => x = 27

Hence, <u>the value of x is 27</u>

<h3>_______________________________</h3>

<u>- Question 8 -</u>

17/15 = 10/2x - 2

=> 17(2x - 2) = 150

=> 34x - 34 = 150

=> 34x = 184

=> x = 184/34

=> x = 92/17

Hence, <u>the value of x is 92/17</u>

<h3>_______________________________</h3>

<u>- Question 9 -</u>

  • x - 16/x + 6 = 3/5
  • => 5(x - 16) = 3(x + 6)
  • => 5x - 80 = 3x + 18
  • => 2x = 98
  • => x = 49

Hence, <u>the value of x is 49.</u>

<h3>_______________________________</h3>

Hoped this helped.

3 0
2 years ago
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