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enot [183]
3 years ago
10

Suppose we want a 90% confidence interval for the average amount spent on entertainment (movies, concerts, dates, etc.) by fresh

man in their first semester at a large university. The interval is to have a maximum bound on the error (or simply margin of error) of $2, and the amount spent has a normal distribution with a known standard deviation $30. The number of observations required is at least
Mathematics
1 answer:
katovenus [111]3 years ago
6 0

Answer:

609

Step-by-step explanation:

Standard deviation = \sigma = $30

Margin of error = E = $2

Confidence level = 90%

Since the distribution is said to be normal, we will use z scores to solve this problem.

The z score for 90% confidence level = z = 1.645

Sample size= n = ?

The formula to calculate the margin of error is:

E=z\frac{\sigma}{\sqrt{n}}\\\\\sqrt{n}=z\frac{\sigma}{E}\\\\n=(\frac{z\sigma}{E} )^{2}

Using the values in above equation, we get:

n=(\frac{1.645 \times 30}{2} )^{2}\\\\ n = 608.9

This means, the minimum number of observations required is 609

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1,000 - 500 = 500

Hope this Helps!!

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3 years ago
There are 81 people protesting the destruction of the rain forests. There are 36 ​males, 23 of whom are​ students, and 18 female
Leviafan [203]

Answer:

27

Step-by-step explanation:

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2 years ago
A family needs to build fencing around their rectangular
lilavasa [31]

Answer:

38

160

40

Step-by-step explanation:

If you are given a rectangular home and a square swimming pool, with dimensions of Pool = 2x & home = (2 +5x) & (3+10x) The total amount of fencing they need can be written as x + 10. If x = 5; The family needs 5 yards of fencing for their home. The family needs 10 yards of fencing for their pool.

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8 0
3 years ago
Read 2 more answers
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Part B: AB=3 in., BC=5in., CD=8.6in.

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8.6• ( 3+4+5)= 103.2 in ^2
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Answer:

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Step-by-step explanation:

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