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blondinia [14]
4 years ago
10

The standard deviation of the lifetime of a particular brand of car battery is 4.3 months. A random sample of 10 of these batter

ies is taken. Assuming that the lifetimes of all batteries of this brand are normally distributed, what is the probability that the mean lifetime for this sample is within 1 mouth of the mean lifetime for all batteries of this brand?
a. 0.019
b. 0.184
c. 0.519
d. 0.538
e. 0.769
Mathematics
1 answer:
Anuta_ua [19.1K]4 years ago
7 0

Answer:

d. 0.538

Step-by-step explanation:

Given information.

Standard deviation is 4.3

Random sample of 10

Consider the following calculations

P (sample mean is within 1 month of population mean)=

P(-1*sqrt(10)/4.3 <Z<sqrt(10)/4.3)=P(-.735<Z<0.735)

=0.538

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Factor and find the zeros. z^2-z+56
Inessa [10]

Answer:

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Step-by-step explanation:

Simplifying

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Subproblem 1

Set the factor '(-7 + -1z)' equal to zero and attempt to solve:

Simplifying:

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Set the factor '(8 + -1z)' equal to zero and attempt to solve:

Simplifying:

8 + -1z = 0

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8 + -1z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-8' to each side of the equation.

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-1z = 0 + -8

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Divide each side by '-1'.

z = 8

Simplifying:

z = 8

Solution

z = {-7, 8}

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