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Gnom [1K]
3 years ago
14

A manager of a grocery store wants to determine if consumers are spending

Mathematics
1 answer:
ololo11 [35]3 years ago
7 0

Answer:

1. The error in the assumption is taking the sample mean, \bar x, as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}

Step-by-step explanation:

We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, \bar x, approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is \left | \bar{x} - \mu \right |

1. The error in the assumption is taking the sample mean, \bar x, as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}

Where:

σ = Population standard deviation = $30

z = z value at 95% confidence level = 1.96

\bar x = Sample mean $160

n = Sample size = 10

Plugging in the values, we have;

$141.4 < \bar x < $178.6

Hence the expected value of the mean should be between $141.4 and $178.6.

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To save money, a local charity organization wants to target its mailing requests for donations to individuals who are most suppo
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Answer:

(0.55525, 1.24475)

Step-by-step explanation:

Given that to save money, a local charity organization wants to target its mailing requests for donations to individuals who are most supportive of its cause.

                     Men    women

Sample size      5        5

Mean rate        6.2     5.3

Mean diffference = 6.2-5.3=0.9

Std error for difference = 0.25 (given)

Since we have two groups and also sample sizes are very small we can use t significant value for finding out confidence interval

df = 5+5-2 =8

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Conf interval 80%

=(0.9-1.397*0.25, 0.9+1.397*0.25)\\= (0.55525, 1.24475)

4 0
3 years ago
3) What is an equation for the line that passes through the coordinates (-1.2) and (7,6) ?
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Answer:

y=\frac{1}{2} x+\frac{5}{2}

Step-by-step explanation:

First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.  

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So now we have the equation y=\frac{1}{2} x+b, and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation

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Put it together and that's the final equation!

y=\frac{1}{2} x+\frac{5}{2}

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2 years ago
Which inequality can be used to represent this problem? (HELP ASAP, IM TIMED)
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Propane costs $3.50 per hundred pounds,

and there is a $6 monthly delivery fee.  

A family has budgeted $85 for their propane this month.

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Here family has budgeted $85 for their propane.

So the cost for Propane  = $ 3.5x

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Therefore cost + delivery charge not exceed $85

So 3.5x + 6 ≤ 85

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x = 22.57

Therefore 22 hundreds of pounds can the family use without going over budget


8 0
3 years ago
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