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babymother [125]
3 years ago
7

A random sample of 7 fields of durum wheat has a mean yield of 29.8 bushels per acre and standard deviation of 3.62 bushels per

acre. Determine the 99% confidence interval for the true mean yield. Assume the population is approximately normal.
Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Mathematics
1 answer:
meriva3 years ago
5 0

Answer:

CI = 29.8 ± 3.53

Critical value is z = 2.58

Step-by-step explanation:

First of all let's find margin of error. It is given by the formula;

ME = zσ/√n

We are given;

Standard deviation; σ = 3.62

Sample size; n = 7

Mean; x¯ = 29.8

Now, z-value for 99% Confidence level is 2.58

Thus;

ME = (2.58 × 3.62)/√7

ME = 3.53

CI is written as;

CI = x¯ ± ME

CI = 29.8 ± 3.53

Critical value is z = 2.58

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telo118 [61]
According to google A. Would be 2.375 or as a fraction it would be 2 3/8
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3 years ago
A rectangle has an area 18sq cm.id its length and width are wjole numbera.what is its greatest possible perimeter
makkiz [27]

Answer:

38cm

Step-by-step explanation:

1. The perimeter of a square can be found with the formula2 \times (width + length)

2. Since its length and width are whole numbers, it must be either

1 x 18,

2 x 9 or

3 x 6

3. Using the formula in step 1, we can found that the perimeter in these cases are

38

22

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4. Compare those perimeter we found in previous step, it's obvious that the greatest is 38. Solved.

3 0
3 years ago
What is an equation of the line that passes through the point (−8,−1) and is parallel to the line x-4y=4x
avanturin [10]

Answer:

y = -3/4x - 7

Step-by-step explanation:

Parallel lines have the same slope.

Solve for y in the equation to find the slope.

x - 4y = 4x

  -4y = -x + 4x

  -4y = 3x

     y = 3/-4 x   = -3/4x    So the slope is -3/4  which is the coefficient of the

                                       x term

Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"

y = mx + b

-1 = -3/4(-8) + b

-1 = 6 + b

-1 - 6 = b

-7 = b

The equation of the new line:  y = mx + b

                                                  y = -3/4x - 7

5 0
2 years ago
1/x^-2 x=7 yeet yeet
Yanka [14]

Answer:

49

Step-by-step explanation:

x = 7

1 / x^-2

= x^2

= 7^2

= 49

8 0
3 years ago
Please answer will give points
-Dominant- [34]

Answer:

step 2

Step-by-step explanation:

Given step 1

324π = π × 12² h

Then second step should read

324π = π × 144h ← 144 not 24 is the error

5 0
3 years ago
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