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crimeas [40]
3 years ago
14

Do consumers spend more on a trip to Store A or Store​ B? Suppose researchers interested in this question collected a systematic

sample for 85 Store A customers and 82 Store B customers by asking customers for their purchase amount as they left the store. Using the given summary​ statistics, researchers calculated a​ 95% confidence interval for the mean difference between Store A and Store B purchase amounts. The interval was ​($negative 15.96​,$negative 4.04​). Explain in context what this interval means.
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
4 0

Answer:

We can be 95% confident that consumers spend between $4.04 and $15.96 less at Store A than the consumers spend at Store B.

Step-by-step explanation:

Confidence Intervals give an estimate as range of values for a statistic concerned at a <em>confidence level</em>.

In this case the statistic is the mean difference between Store A and Store B purchase amounts and the confidence level is 95%.

Confidence Interval can be calculated using M±ME where

  • M is the sample mean difference between Store A and Store B purchase amounts
  • ME is the margin of error from the mean
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A.) The median player salary for the New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation
egoroff_w [7]

A general linear equation is given by:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here we will find that the linear equation that represents the situation is

y = 0.033*x + 1.269

And we can expect that the median salary in 2048 is $2.853 million

If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

a = \frac{y_2 - y_1}{x_2 - x_1}

Here we know that:

in 2007 (x = 7) the median player salary was y = $1.5 million

in 2013 (x = 13) the median player salary was y = $1.7 million.

Then we have two points that we can write as:

(7, 1.5)

(13, 1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

a = \frac{1.7 - 1.5}{13 - 7} = 0.033

So the linear equation is something like:

y = 0.033*x + b

To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:

1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269

Then the linear equation is:

y = 0.033*x + 1.269

b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48

So we just need to evaluate this in the linear equation:

y = 0.033*48 + 1.269 = 2.853

Then the median salary in 2048 will be $2.853 million

If you want to learn more, you can read:

brainly.com/question/1189779

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3 years ago
The given tables each show the number of stories completed in the construction of four different high-rise buildings and the num
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<u>Answer:</u>

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We are given some tables showing the number of stories completed in the construction of four different high-rise buildings and the number of days spent working on the building.

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Answer:

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