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mars1129 [50]
2 years ago
12

A city planner wants to estimate, with a 99% confidence level, the average monthly residential water usage in the city. Based on

earlier data, the population standard deviation of the monthly residential water usage in this city is 387.40 gallons. How large a sample should be selected so that the estimate for the average monthly residential water usage in this city is within 110 gallons of the population mean?
Round your answers to the nearest integer.

n=
Mathematics
1 answer:
torisob [31]2 years ago
3 0

Answer: 82

Step-by-step explanation:

The formula to find the sample size is given by :-

n= (\dfrac{z^*\cdot \sigma}{E})^2

, where E = Margin of error.

\sigma = Population standard deviation for the prior study.

As per given , we have

\sigma=387.40 gallons.

Margin of error : E= 110 gallons

Critical value for 99% confidence level = z* = 2.576

Then, the required sample size : n= (\dfrac{(2.576)\cdot (387.40)}{110})^2

n= (9.07220363636)^2\approx82  {Rounded to the nearest integer.}

Hence, the minimum sample size = 82

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wlad13 [49]

Answer:

In week 1, 69.15% of sales were 10-inch pizzas, and the remaining 30.85% were 12-inch pizzas; while in week 2, 71.09% of sales were 10-inch pizzas, and the remaining 28.91% were 12-inch pizzas.

Step-by-step explanation:

Given that a takeaway sells 10 inch pizzas and 12 inch pizzas, to determine what proportion sold were 10 inch pizzas in week 1 and what proportion sold were 10 inch in week 2, the following calculation must be performed:

Week 1 = 736 total sales

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509 x 100/736 = X

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100 - 69.15 = 30.85

Thus, in week 1, 69.15% of sales were 10-inch pizzas, while the remaining 30.85% were 12-inch pizzas.

Week 2 = 1076 total sales

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1076 = 100

765 = x

765 x 100/1076 = X

76500/1076 = X

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100 - 71.09 = 28.91

Thus, in week 2, 71.09% of sales were 10-inch pizzas, while the remaining 28.91% were 12-inch pizzas.

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Jobisdone [24]

Answer:

800

Step-by-step explanation:

16 x 10 x 5= 800

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