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rjkz [21]
3 years ago
15

A t statistic was used to conduct a test of the null hypothesis H0: µ = 11 against the alternative Ha: µ ? 11, with a p-value eq

ual to 0.042. A two-sided confidence interval for µ is to be considered. Of the following, which is the largest level of confidence for which the confidence interval will NOT contain 11?
a. A 90% confidence level
b. A 92% confidence level

c. A 96% confidence level
d. A 97% confidence level
e. A 98% confidence level
Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

e. A 98% confidence level.

Step-by-step explanation:

Confidence level represents the percentage of probability as well as certainty that the confidence interval would contain the true population parameter when a random sample is selected many times.

Confidence intervals provide us with an upper and lower limit surrounding the sample mean, and within this interval we can then be confident we have captured the population mean.

From the information given above, to solve this question, we need to find the largest level of confidence for which the confidence interval will NOT contain 11.

In order to do this, we must produce the confidence interval.

Producing the confidence interval, for H0: µ = 11 against Ha: µ ?

11 would definitely produce a P-value less than (<) 0.042. The reason being that we can reject null hypothesis and confidence interval will not contain the value 11.

From given options above we have values as 0.10, 0.08, 0.04, 0.03, and 0.02.

Out of all these values, p value = 0.042 < 0.10 and 0.042<0.08

Therefore,the largest level of confidence for which the confidence interval will NOT contain 11 is 98% confidence level.

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I need a step by step explanation on how you solved the equation.
Ghella [55]

Answer: x=3 and y=−2

Step-by-step explanation:

x=−2y−1;4x−4y=20

Step: Solve x=−2y−1 for x:

Step: Substitute−2y−1 for x in 4x−4y=20:

4x−4y=20

4(−2y−1)−4y=20

−12y−4=20(Simplify both sides of the equation)

−12y−4+4=20+4(Add 4 to both sides)

−12y=24

−12y

−12

=

24

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(Divide both sides by -12)

y=−2

Step: Substitute−2 for y x=−2y−1:

x=−2y−1

x=(−2)(−2)−1

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7 0
3 years ago
David is going to install tiles on the floor of two rooms. One of the floors is 18 feet long by 12 feet wide. The other floor is
crimeas [40]
Dimension of one of the floors of one room that David wants to install tiles is 18feet long by 12 feet wide
Then
Area of the above room = 18 * 12 square feet
                                       = 216 square feet
Dimension of the floor of the other room that David wants to install tiles is 24 feet long and 16 feet wide
Then
Area of the other room = 24 * 16 square feet
                                     = 384 square feet
Then
The total square feet of the
rooms that David wants to install tiles = 216 + 384
                                                             = 600 square feet
Cost of the tile that covers 1 square feet = $5
Cost of the 4 tiles that cover 4 square feet = $17
Then  
Area that can be covered with 4 square feet of tiles = 600/4 square feet
                                                                                  = 150 square feet
Minimum cost of covering
the two rooms that David wants to install tiles = 150 * 17 dollars
                                                                          = 2550 dollars
So the minimum cost of installing the tiles on the two floors of David's two rooms is $2550. I hope the procedure is simple enough for you to understand.            
8 0
3 years ago
A vase in the shape of an oblique cylinder has the dimensions shown. What is the volume of the vase?
fenix001 [56]

The image is missing so i have attached it.

Answer:

Volume = 1.5 litres

Step-by-step explanation:

Using pythagoras theorem, we can get the height (h) of the cylinder

14² + h² = 17²

h² = 289 - 196

h = √93

Now, volume of a cylinder is;

V = πr²h

In the image, r = diameter/2 = 14/2 = 7cm

Thus,

V = π × 7² × √93

V = 1485 cm³

Now, 1 litre = 1000 cm³

Thus, volume = 1485/1000 = 1.485 litres ≈ 1.5 litres

5 0
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Answer:

Step-by-step explanation:

Given that:

Distance to friends's house = 1.8 miles

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Since the rate is constant :

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