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12345 [234]
2 years ago
15

A research company desires to know the mean consumption of meat per week among people over age 23. A sample of 164 people over a

ge 23 was drawn and the mean meat consumption was 4.1 pounds. Assume that the population standard deviation is known to be 0.7 pounds. Construct the 80% confidence interval for the mean consumption of meat among people over age 23. Round your answers to one decimal place.
Mathematics
1 answer:
Elan Coil [88]2 years ago
8 0

Answer:

The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28*\frac{0.7}{\sqrt{164}} = 0.07

The lower end of the interval is the mean subtracted by M. So it is 4.1 - 0.07 = 4.03 pounds

The upper end of the interval is the mean added to M. So it is 4.1 + 0.07 = 4.17 pounds

Rounded to one decimal place

The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.

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Answer: The interest is: $150.00

The formula we'll use for this is the simple interest formula, or:

Where:

   P is the principal amount, $6000.00.

   r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

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   Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

       Do this by dividing your time, 6- month(s), by 12, since there's 12 months in 1 year.

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To find the simple interest, we multiply 6000 × 0.05 × 0.5 to get that:

The interest is: $150.00

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3 years ago
Joshua has $560. He wants to buy a laptop that costs $320 as well as a case for the laptop that costs $65 and is currently on sa
Igoryamba

Answer:$154.73

Step-by-step explanation:

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Answer:

its 50 points but still answer is a

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2 years ago
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Nat2105 [25]

Answer:

-18

Step-by-step explanation:

((-3)2)3

First, you multiply -3 and 2 which equals  -6

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2 years ago
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