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creativ13 [48]
3 years ago
11

A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours. To test this claim,

a reputable testing firm took a random sample of 100 bulbs and life tested them. The testing firm found the average life of the sample to be 4500 hours with a sample standard deviation, s = 400 hours. The value of the test statistic for this problem isA 1.25B -1.25C 12.5D -12.5E None of the values listed
Mathematics
1 answer:
natka813 [3]3 years ago
5 0

Answer: C. 12.5

Step-by-step explanation:

Given : A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours.

Population mean :  \mu=4000

Sample size : n= 100

Sample mean : \overline[x}=4500

Standard deviation: s=400

The value of test-statistic is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\\Rightarrow\ z=\dfrac{4500-4000}{\dfrac{400}{\sqrt{100}}}\\\\\Rightarrow\ z= 12.5

Hence, the value of the test statistic for this problem is 12.5.

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zheka24 [161]

Answer:

-12/35

Step-by-step explanation:

-3×4/5×7

-12/35

7 0
2 years ago
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Jamal's deck is in the shape of a polygon and is shown on the grid below.(-8,6)(6,6)o[(-8, -4),(6,-4)What is the area of Jamal's
PSYCHO15rus [73]

Let;

A(-8,6) B(6,6) C(6, -4) D(-8, -4)

Let's find the length AB

x₁= -8 y₁=6 x₂=6 y₂=6

We will use the distance formula;

d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

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Next, we will find the width BC

B(6,6) C(6, -4)

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substitute into the distance formula;

d=\sqrt[]{(6-6)^2+(-4-6)^2}

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Area = l x w

= 14 x 10

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7 0
1 year ago
Scott wants to tip his taxi driver 20%. if his commute costs $15 what is the total cost
Vlad [161]
The total cost is $18
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3 years ago
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Kipish [7]

Answer:

From top to bottom:

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Step-by-step explanation:

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Aaron made a $400 purchase using his credit card. The credit card has a simple interest rate of 12% each year. How much will Aar
melisa1 [442]

Answer:  448 dollars

=============================================

Work Shown:

P = 400 is the balance

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t = 1 is the number of years

Use those values to get the simple interest to be

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Add this onto the balance of 400 dollars and the total amount Aaron owes is P+i = 400+48 = 448 dollars.

5 0
3 years ago
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