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3 years ago

Which of the following can you determine, when you use deduction and start

Mathematics

2 answers:

Tomtit [17]3 years ago

4 0

Pretty sure the answer is c :))

Butoxors [25]3 years ago

4 0

I’m sure that it is (c)

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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.01 \cdot 0.305=0.61$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95$

The 95% confidence interval for the mean is (5.73, 6.95).

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4 years ago

I need help on please don't send me a file I don't work on my computer

ryzh [129]

X247893ai388349. Haha

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3 years ago

119 kilometers per hour equals how many miles per hour

kakasveta [241]

You divide the number of kilometers by 0.621371 to get the number of miles per hour. I hope this helped!

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3 years ago

There are 25 students in Laura's class, and 21 of the students went on the class trip to the zoo. What percentage of students we

BlackZzzverrR [31]

Since there are 25 students and there’s 21 at the zoo you would end up having 21 out of 25 and 21 out of 25 as a percentage is 84% because you have to look at 25 as a whole and that whole would be 100% so 84 out of 100% is equal to 21 out of 25

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3 years ago

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X2=25-1 solve please math.

Rainbow [258]

X = 12 subtract then divide both sides

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3 years ago