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Basile [38]
3 years ago
9

First grade children have heights that are normally distributed about a mean of 37 inches and a standard deviation of 2 inches.

A random sample of size 25 is taken and the mean is calculated. Find the probability that the mean value (X-bar) will be between 36.5 and 41.0 inches.
a. .894
b. .1088
c. .724
d. .0994
e. .223

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

the probability that the mean value (X-bar) will be between 36.5 and 41.0 inch is 0.894 the correct option is a)

step-by-step explanation:

See attached picture

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Answer:

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

Step-by-step explanation:

If 6d is an integer, then d = 3

Let's divide the statement into two:

Let "If 6d is an integer" be p and "then d = 3" be q.

The statement is a conditional statement. Therefore, we have

p ⇒ q

The negation of p ⇒q, ¬(p ⇒ q) ≡ p ∧ ¬q

I have attached an image proving the above.

Using this: ¬(p ⇒ q) ≡ p ∧ ¬q

Then, we leave p as it is and negate q.

P is "if 6d is an integer"

q is "then d = 3," hence ¬q is "then d ≠ 3."

Therefore, the negation of "If 6d is an integer, then d = 3" is "If 6d is an integer, then d ≠ 3."

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

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Do you need help with all of these?

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Land's Bend sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the intern
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Answer:

−35.713332 ; 0.313332

Step-by-step explanation:

Given that:

Sample size, n1 = 11

Sample mean, x1 = 79

Standard deviation, s1 = 18.25

Sample size, n2 = 18

Sample mean, x2 = 96.70

Standard deviation, s2 = 20.25

df = n1 + n2 - 2 ; 11 + 18 - 2 = 27

Tcritical = T0.01, 27 = 2.473

S = sqrt[(s1²/n1) + (s2²/n2)]

S = sqrt[(18.25^2 / 11) + (20.25^2 / 18)]

S = 7.284

(μ1 - μ2) = (x1 - x2) ± Tcritical * S

(μ1 - μ2) = (79 - 96.70) ± 2.473*7.284

(μ1 - μ2) = - 17.7 ± 18.013332

-17.7 - 18.013332 ; - 17.7 + 18.013332

−35.713332 ; 0.313332

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2 years ago
A bin of winter hats on clearance contains 6 green caps, 7 blue caps, and 9 red caps If you pick one without looking, what is th
SCORPION-xisa [38]

Answer:

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Answer:

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