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crimeas [40]
2 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]2 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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The difference between the square of two numbers is 11. Twice the square of the first number increased by the square of the seco
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Answer:

Below in bold.

Step-by-step explanation:

x^2 - y^2 = 11

2x^2  + y^2 = 97

From the first equation:

y^2 = x^2 - 11

Substituting in the second equation:

2x^2 + x^2 - 11 = 97

3x^2 = 108

x^2 = 36

x = 6, -6.

Substituting  for x in the first equation:

(6)^2 - y^2 = 11

y^2 = 36 - 11 = 25

y = 5, -5.

6 0
3 years ago
Seven less than three-fifths times a number is less than or equal to eighteen. Which inequality BEST represents this situation?
denis-greek [22]
( \frac{3}{5} )*x - 7\leq 18
5 0
3 years ago
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Which of the following is true of the constructions of an equilateral triangle, a square, and a regular hexagon when they are in
lidiya [134]
<span>a regular hexagon inscribed in a circle </span>
6 0
3 years ago
The stem-and-leaf plot shows the temperatures of patients who registered at a clinic one day. How many patients registered at th
saveliy_v [14]

As the key suggests, the left part is the integer part of the number, while the digit on the right is the decimal part of the number.

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So, the number of values is given by the number of leaves: you simply have to count how many digits are there on the right part of the screen.

The answer is thus 24

5 0
3 years ago
HELP PLEASE!!! I NEED THIS NOWWWWW!!
Ugo [173]

Part A - linear functions change at a constant rate.. while exponential functions change at a constant percent rate... that sounds the same but it's not.  A linear function will go up (or down) the same amount when the time period is the same...  like up 1,000 more visitors every month... if this happens, when you subtract the visitors for month 10-month 9, you will get the same answer as when you subtract he visitors for month 9-month 8.  

An exponential function will go up by the same % when the time period is the same... so it'd be like if it went from 1,000 to 1,100 (that's up 100, which is 10% of 1,000) and then from 1,100 to 1,210 (that's up by 110, which is 10% of 1,100). If this happens you get the same answer when you divide the visitors for month 10 by the visitors from month 9 as you get when you divide the visitors for month 9 by the visitors from month 8.    (sometimes because of decimals you only get really really close to the same but that counts).

This one is exponential because dividing gets you around 2.09 every time

Part B

Since dividing # of visitors by the # from the month before gets you around 2.09 each time, we multiply that by 100 to get the % version of the decimal.

So that's 209%... but that's not how much it changes by or grows by... that's what it ends up.  It goes from itself (100%) to a bigger # (209%).. that's a 209-100 = 109% increase each month.



Part C

you need to think a little bit about what's going on in class.... becasue there are a bunch of different ways to do this. Sometimes you make an equation, sometimes you work backwards.


Here's one way... since multiplying visitors from week 8 by 2.09 gets you week 9 visitors.. and multipliying week 9 visitors by 2.09 gets you week 10... etc.... we can go backwards...

Week 7 visitors times 2.09 would equal the week 8 visitors

so,  w(2.09)=5.74

if we divide both sides by 2.09 we get w is equal to about 2.7464...  so the week 7 visitors is about 2.7464 (thousands) or 2,746.


Hope that helps



6 0
3 years ago
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