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Anvisha [2.4K]
3 years ago
12

Question 16 of 30

Mathematics
1 answer:
Paha777 [63]3 years ago
3 0

Answer:

3

Step-by-step explanation:

You have to divide 28 divided by 8.

28/8 = 3.5

I'm pretty sure you can't buy half a tube of paint, so Ingrid would only be able to buy 3.

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The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv
Rina8888 [55]

Answer:

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=14.42 represent the sample mean

\mu population mean (variable of interest)

\sigma=6.95 represent the population standard deviation

n=36 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

5 0
3 years ago
IS THE FOLLOWING A SINUSOID OR NOT
Neko [114]
1. YES 2. NO, correct me if im wrong
5 0
3 years ago
Write the equation of the parabola in standard form.
Inessa [10]
I don’t know if that’s what you wanted but I hope I helped ;D (sorry for my bad english)

6 0
2 years ago
There are 14 red, 10 yellow, 5 green, and 3 purple candies in a bag. What is the probability that a candy chosen at random is no
ch4aika [34]

Answer: 9/16

Work Shown:

14 red + 10 yellow + 5 green + 3 purple = 32 total

(32 total) - (14 red) = 18 that aren't red

18/32 = 9/16 is the probability of picking something that isn't red.

8 0
2 years ago
interest rate on a credit card is 15% if we charge $200 to the card, how much will we pay including the interest
san4es73 [151]

Answer:

$230

Step-by-step explanation:

15 percent of 200 is 30, add 30 to 200 which is 115%,

so 230.

5 0
3 years ago
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