By assuming the standard deviation of population 2.2 the confidence interval is 8.67 toys,8.94 toys.
Given sample size of 1492 children,99% confidence interval , sample mean of 8.8, population standard deviation=2.2.
This type of problems can be solved through z test and in z test we have to first find the z score and then p value from normal distribution table.
First we have to find the value of α which can be calculated as under:
α=(1-0.99)/2=0.005
p=1-0.005=0.995
corresponding z value will be 2.575 for p=0.995 .
Margin of error=z*x/d
where x is mean and d is standard deviation.
M=2.575*2.2/
=0.14
So the lower value will be x-M
=8.8-0.14
=8.66
=8.67 ( after rounding)
The upper value will be x+M
=8.8+0.14
=8.94
Hence the confidence interval will be 8.67 toys and 8.94 toys.
Learn more about z test at brainly.com/question/14453510
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Answer:
parallelogram
Step-by-step explanation:
That's the answer....
Answer:
45
Step-by-step explanation:
OK, first we turn the variables into into the actual values:
The equation will look like this:
(2)5 + (-5)(-7)
Now its easier to solve! Lets solve (2)5!
2 * 5 = 10
The equation looks like:
10 + (-5)(-7)
We will also solve (-5)(-7). Remember that a negative number times a negative number is positive!
-5 * -7 = 35
Lets finish the rest:
10 + 35 = 45.
Hope this is correct and have a nice day!
Answer: First option
12 candy bars were sold
Step-by-step explanation:
Call x the amount of candy sold and call z the amount of cookies sold. Then we know that

We also know that candy bars sell for $ 3 and cookies sell for $ 5. The profit was $ 76
So:

To find the quantity of candy bars sold we must solve the system of equations:

Multiply the first equation by -5 and add it to the second equation

+

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Using statistical concepts, we have that:
- a. The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.
- b. The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.
<h3>Range and standard deviation:</h3>
- The range of a data-set is given by the difference <u>between the highest value and the lowest value in the data-set</u>.
- The standard deviation of a data-set is given by the <u>square root of the sum of the difference squared of each observation and the mean, divided by the number of observations</u>.
Item a:
- The lowest value is of 0.
- The highest value is of 6.
Hence:
The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.
Item b:
The mean is:

Hence, the standard deviation is:

The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.
You can learn more about range and standard deviation at brainly.com/question/11729451