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zlopas [31]
4 years ago
8

In a random sample of 30 people who rode a roller coaster one day, the mean wait time is 46.7 minutes with a standard deviation

of 9.2 minutes. In a random sample of 50 people who rode a Ferris wheel the same day, the mean wait time is 13.3 minutes with a standard deviation of 1.9 minutes. Construct a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides.
A. (31.7, 35.1)
B. (30.5, 36.3)
C. (29, 37.8)
D. (28.7, 38.1)
Mathematics
1 answer:
Rainbow [258]4 years ago
5 0

Answer: C. (29,\ 37.8)

Step-by-step explanation:

The confidence interval for difference of two population mean is given by :-

\overline{x}_1-\overline{x}_2\pm z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}

Given : Level of significance : 1-\alpha:0.99

Then , significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=z_{0.005}=2.576

n_1=30\ ;\ n_2=50\\\\\overline{x}_1=46.7\ ;\ \overline{x}_2=13.3\\\\s_1=9.2\ ;\ s_2=1.9

46.7-13.3\pm(2.576)\sqrt{\dfrac{9.2^2}{30}+\dfrac{1.9^2}{50}}\approx33.4\pm4.38=(29.02\ ,37.78)\approx(29,\ 37.8)

Hence,  a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides (29,\ 37.8)

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Hi There!

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Problem #1:

At the dealership where she works, Sade fulfilled 3/10 of her quarterly sales goal in January and another 1/10 of her sales goal in February. What fraction of her quarterly sales goal had Sade reached by the end of February?

3/10 + 1/10 = 4/10

4/10 of her goal.

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Shane has been monitoring his mileage. According to last week's driving log, he drove 1/10 of a mile in his car and 9/10 of a mile in his truck. How far did Shane drive last week in all?

1/10 + 9/10 = 10/10 = 1

Shane drove 1 mile.

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Problem #3:

For a class experiment, Vina's class weighed a log before and after subjecting it to termites. Before subjecting it to termites, the log weighed 7/10 of a pound. After the termites, the log weighed 3/10 of a pound. How much weight did the termites take from the log?

7/10 - 3/10 = 4/10

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Hope This Helps :)

6 0
3 years ago
How many 3/4s are in 2
dusya [7]
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NeX [460]

Using linear function concepts, the slope of -1 means that when one of the length/width is increased by 1, the other is decreased by 1.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
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In this problem:

  • The lengths and the widths are interchangeable, that is, either can be considered as the input or as the output.
  • The slope of -1 means that when the input in increased by 1, the output is decreased by -1, that is, when one of the length/width is increased by 1, the other is decreased by 1.

You can learn more about linear function concepts at brainly.com/question/24808124

8 0
2 years ago
Can you kindly help me find the value of X? I've been getting it wrong and I need help to find out what I'm doing incorrect.
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8 0
3 years ago
Austin is going to invest in an account paying an interest rate of 2.2% compounded daily. How much would Austin need to invest,
Korolek [52]

Answer:

  $23,700

Step-by-step explanation:

The compound interest formula can be helpful for this. Fill in the given values and solve for the unknown.

  FV = P(1 +r/n)^(nt)

where r is the annual interest rate, n is the number of times interest is compounded in a year, t is the number of years, P is the amount invested, and  FV is the future value of that investment.

  $27,000 = P(1 +0.022/365)^(365·6) = 1.1411037P

  P ≈ $23,700

5 0
3 years ago
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