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fomenos
2 years ago
12

Suppose that the average bill for the drive through of 24 customers at Burger Palace is $14.30. It is known that the population

standard deviation is σ=2.30. Estimate the true mean bill for a customer at Burger Palace with 95% confidence.
Mathematics
1 answer:
Mice21 [21]2 years ago
5 0

The standard deviation is a measure of a collection of values' variance or dispersion. The true mean bill for a customer at Burger Palace with 95% confidence is $13.38.

<h3>What is a standard deviation?</h3>

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

Given that the Sample mean (\overline x) is $14.30, the Sample size(n) is 24 customers, the Standard deviation(σ) is 2.30, while for a 95% confidence interval the Z-score is 1.960. Therefore, the true mean can be written as,

Z = \dfrac{\overline x- \mu}{\frac{\sigma}{\sqrt n}}\\\\\\1.960 = \dfrac{14.30-\mu}{\frac{2.30}{\sqrt{24}}}\\\\\\1.960 = \dfrac{14.3-\mu}{0.47}

μ = 13.3788 ≈ 13.38

Hence,  the true mean bill for a customer at Burger Palace with 95% confidence is $13.38.

Learn more about Standard Deviation:

brainly.com/question/16555520

#SPJ1

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9966 [12]

Answer:

She paid 9% of sales tax

Step-by-step explanation:

The sale price of diamond = $375

Let x be percent of sales tax

So, amount of tax = x\% \times 375 = \frac{x}{100} \times 375 =3.75x

So, Amount including tax = 375+3.75x

We are given that Bethany paid $408.75 for a pair of diamond stud earrings.

So, 375+3.75x=408.75

3.75x=408.75-375

x=\frac{408.75-375}{3.75}

x=9

Hence She paid 9% of sales tax

5 0
3 years ago
Can anyone help me with this question?
Andreyy89

Answer:

x= 60°, y = 80°, z = 40°

Step-by-step explanation:

Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.

Hence z= 40° { corresponding angles of parallel lines}

Similarly;

Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.

60° = x° { corresponding angles of parallel lines}

Now looking at the angle between x and y; let's call the angle between them r

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Note that x + r + y = 180°{ angle on a straight line}

y = 180° - ( x + r)

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y = 180° - 100°

= 80°

6 0
3 years ago
Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard devi
Svetllana [295]

Answer:

Step-by-step explanation:

Given that Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard deviation of 6 inches.

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a) P(X

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X score = 48+1.28(6) = 55.68  inches

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7 0
3 years ago
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