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slega [8]
3 years ago
9

A car dealership pays $8350 for a car. They mark up the price by 17.4% to get the retail price. What is the retail price of the

car at this dealership?
Mathematics
1 answer:
olga2289 [7]3 years ago
5 0

Answer:

9802.9

Step-by-step explanation:

because 17.4 percent of 8350 is 1452.9 so add that to the price they paid and you get 9802.9

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Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam
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Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

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Required Information:  

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Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.  

The confidence interval is given by

CI = \bar{x} \pm MoE\\

Where \bar{x} is the mean and MoE is the margin of error given by

MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\

Where σ is the standard deviation, n is the sample size and z_{\alpha/2} is the z-score corresponding to 95% confidence level.

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MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\

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CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

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