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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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IS<br> 9/10, 0.9, and<br> 90% equivalent?
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Answer:

yes

Step-by-step explanation:

they are all equivalent because they all equal 0.9

9/10 = 90/100 = 0.9

all percentages can be converted to fraction by putting them over a hundred

90% = 90/100 = 0.9

0.9 obviously = 0.9

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2 years ago
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abruzzese [7]
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3 years ago
Yesterday noah ran 2 1/2 miles in 3/5 hour. Emily ran 3 3/4 miles in 5/6 hour. Anna ran 3 1/2 miles in 3/4 hour how fast in mile
Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

To calculate the speed of each one we proceed as follows:

speed=distance/time

a] Noah's speed:

distance=2.5 miles

time=3/5 hours

speed=(2 1/2)/(3/5)

=(5/2)/(3/5)

=5/2×5/3

=25/6

=4 1/6 mi/hr

Emily's speed

distance=3 3/4 miles

time=5/6 hour

thus

speed=(3 3/4)/(5/6)

=15/4)/(5/6)

=15/4×6/5

=4 1/2 mi/hr

Anna's speed:

distance=3 1/3 miles

time=3/5

speed=(3 1/3)/(3/5

=(10/3)/(3/5)

=10/3×5/3

=5 5/9 mi/hr

Anna was the fastest

6 0
2 years ago
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What is m&lt;4? I tryed to do the work but I just can't get it can someone help me plz
Mars2501 [29]
M<6 is 60
Since AC and BD are parallel, <6 and <4 are supplementary.
supplementary means = 180 degrees
Since m<6 is 60 degrees, subtract 60 from 180 to get <4
180 - 60 = 120

M<4 is 120

hope this helps
7 0
3 years ago
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Ket [755]

Answer: The correct option is c.

Explanation:

Reason for correct option:

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This expression cannot be factored further because (9x^2+1) is the complete factor. Therefore the option c is correct.

Reason for incorrect option:

5x^2-17x+14=5x^2-10x-7x+14=5x(x-2)-7(x-2)=(x-2)(5x-7)

Since the given expression can be factored further therefore the option d is incorrect.

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Since the given expression can be factored further. Therefore the option b is incorrect.

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