Please simplify 5x + 4 - 5x

Suppose the weights of tight ends in a football league are normally distributed such that σ2=400. A sample of 11 tight ends was

AlladinOne [14]

Answer:

$217.636-1.96\frac{20}{\sqrt{11}}=205.817$

$217.636+1.96\frac{20}{\sqrt{11}}=229.455$

So on this case the 95% confidence interval would be given by (205.82;229.46)

Step-by-step explanation:

Assuming the following data: Weight 150 169 170 196 200 218 219 262 269 270 271

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma= \sqrt{400}= 20$ represent the population standard deviation

n=11 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)

In order to calculate the mean we can use the following formula:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

The mean calculated for this case is $\bar X=217.636$

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):

$217.636-1.96\frac{20}{\sqrt{11}}=205.817$

$217.636+1.96\frac{20}{\sqrt{11}}=229.455$

So on this case the 95% confidence interval would be given by (205.82;229.46)

8 0

4 years ago

9/2 divided by 3/4 I really need help with this so answer fast please

patriot [66]

Answer:

6

Step-by-step explanation:

You would make the equation look like this 9/2 × 4/3

=36/6

=6

6 0

3 years ago

In 1 year, how many more hours of sleep<br> does a giant armadillo get than a platypus?

tamaranim1 [39]

Answer:

Step-by-step explanation:

If the given variables are 127 hours of sleep per week for a Giant Armadillo, and 98 hours of sleep per week for a Platypus, to determine which animal gets the most sleep, first multiply the total hours of sleep of each animal per week to the total number of weeks In a year, which is 52. Once you get the answers, which are 6,604 hours of sleep in a year for the Giant Armadillo and 5,096 hours of sleep in a year for a Platypus. You subtract 6,604 and 5,096 together to get the answer, which is 1,508. Therefore we conclude that that the Giant Armadillo has 1,508 hours more hours of sleep than a Platypus in a Year.

3 0

3 years ago

Read 2 more answers

25/24 as a decimal and round it to the nearest hundredth

telo118 [61]

Answer:

1.04

Step-by-step explanation:

(self-explanatory)

I hope this helps, have a nice day. :)

3 0

3 years ago

Read 2 more answers

What is the value of x 45 10 45

Svetllana [295]

Answer:

5√2

Step-by-step explanation:

This triangle is a 45 - 45- -90 triangle which is a special trig triangle. This triangle has side lengths which are always the lengths or a a multiple of 1 - 1 - √2.

Since the side length which is longest is 10, this corresponds to the side length √2. Look for a number which when multiplied with √2 gives 10.

√2*√50 = √100 = 10.

The triangle has scaled up the parent triangle by a factor of √50. This means the other sides are 1*√50 = √50 = 5√2

This simplifies to 5√2 since √50 = √25*√2 = 5√2.

3 0

4 years ago

Please simplify 5x + 4 - 5x - 2 ​

Please simplify 5x + 4 - 5x - 2