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You are interested in purchasing a new car and have done some research. One of the many points you wish to consider is the resal

kari74 [83]

Answer:

The 99% confidence interval would be given by (12004.26;12995.74)

Explanation:

1) 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".

$\bar X=12500$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=700 represent the sample standard deviation

n=17 represent the sample size

2) Confidence interval

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=17-1=16$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,16)".And we see that $t_{\alpha/2}=2.92$

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

$12500-2.92\frac{700}{\sqrt{17}}=12004.26$

$12500+2.92\frac{700}{\sqrt{17}}=12995.74$

So on this case the 99% confidence interval would be given by (12004.26;12995.74)

8 0

3 years ago

Discriminatory impulses in the labor market can emerge at a number of levels:

Mila [183]

Among workers the awnser is ?

8 0

3 years ago

Sometimes it is better to leave a task and come back later if you do not feel like doing it at the time

Allushta [10]

Yes i definitely agree

3 0

3 years ago

Life insurance companies like Prudential hope to get you to worry about how your loved ones will provide for themselves once you

Stels [109]

Answer:

Fear appeal.

Explanation:

In this scenario, Life insurance companies like Prudential hope to get you to worry about how your loved ones will provide for themselves once you have passed away. In order to buttress their point, they paint a very gloomy picture of the possible consequences of not having life insurance, and they make a point of recommending that you act immediately because you never know when it is going to be too late. This is an example of a fear appeal.

A fear appeal can be defined as the act of persuading potential customers to change a risky behavior by highlighting adverse or negative consequences that may arise if they do not subscribe to a service or use a particular product. The main purpose of a fear appeal is to cajole people into buying a product or using a service by using their fears as a motivation.

7 0

4 years ago

An important use of a hot stick is to_____?

jekas [21]

Protect them from electric shock
hope this helpss

7 0

3 years ago