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tekilochka [14]
3 years ago
13

A beverage company makes 100% cranapple juice, which is made up of

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0
Answer: 54-fluid ounces
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A random sample of 64 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviation
melamori03 [73]

Answer:

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

The point estimate of the population mean is \hat \mu = \bar X In order to calculate the critical value [tex]t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=64-1=63  

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=1400 represent the sample mean  

\mu population mean (variable of interest)  

s=240 represent the sample standard deviation  

n=64 represent the sample size  

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)  

The point estimate of the population mean is \hat \mu = \bar X In order to calculate the critical value [tex]t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=64-1=63  

5 0
4 years ago
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