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ddd [48]
1 year ago
6

Dominick spent 2 3/4 hours on his art project Rachel worked one and 1/3 times as long on her art project as Dominick worked for

how many hours is Rachel work on her our project
Mathematics
1 answer:
inna [77]1 year ago
6 0
Answer is Rachel worked 3 2/3 hours

Step by step

Dominic worked 2 3/4 hours

Rachel worked (1 1/3) times (2 3/4)

1 1/3 x 2 3/4. Change into an improper fraction

4/3 x 11/4. multiply across

44/12

Simplify

= 3 2/3
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You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence
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Answer:

122 \leq \mu \leq 138

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

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 % where by 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".  

Solution to the problem

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=25-1=24  

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: "=-T.INV(0.025,24)".And we see that t_{\alpha/2}=2.06  

Now we have everything in order to replace into formula (1), for this case we got:

122 \leq \mu \leq 138

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

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