The quality control manager at a light bulb manufacturing company needs to estimate the mean life of the light bulbs produced at the factory. The life of the bulbs is known to be normally distributed with a standard deviation (sigma) of 80 hours. A random sample of 16 light bulbs indicated a sample mean life of 1000 hours. What is a 95% confidence interval estimate (CIE) of the true mean life (m) of light bulbs produced in this factory

Answers

Answer 1
Answer:

Answer: (960.80,1039.20)

Step-by-step explanation:

Let X denotes a random variable that represents the life of the light bulbs produced at the factory.

As per given,

\sigma=80\n\n n=16\n\n \overline{x}=1000

Critical z-value for 95% confidence interval : z* = 1.96

Confidence interval for population mean:

\overline{x}\pm z^*(\sigma)/(√(n))\n\n  =1000\pm (1.96)(80)/(√(16))\n\n=1000\pm 1.96*(80)/(4)\n\n=1000\pm 1.96*20\n\n=1000\pm39.2\n\n=(1000-39.2,\ 1000+39.2)\n\n=(960.80,1039.20)

So, a 95% confidence interval estimate (CIE) of the true mean life (m) of light bulbs produced in this factory = (960.80,1039.20)


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19) Solve the system,
*****
x + 3y - 5
-2x + 2y = 14

Answers

Answer:

y = 3

x = -4

Step-by-step explanation:

Hopefully the first equation is x + 3y = 5

x = 5 - 3y

Plug in:

-2(5 - 3y) + 2y = 14

-10 + 6y + 2y = 14

8y = 24

y = 3

x = -4

What is the y-intercept of the line your equation X-1/2Y = -6A.-6

B.-3

C.0

D.12

Answers

9514 1404 393

Answer:

  D.  12

Step-by-step explanation:

Set x=0 and solve for y.

  0 -1/2y = -6

  y = (-2)(-6) = 12 . . . . . . multiply by -2 to clear the fraction

The y-intercept is 12.

If 40% is equal to the fraction of x by 30 what is the value of x

Answers

Given
  40% = x/30
multiply by 30
  30·0.40 = x = 12

Someone help me please

Answers

Answer:

A) The vertex of CDH would be point D.

B) The sides of CDH would be CD & HD.

C) Classify CDH as an acute angle.

Step-by-step explanation:

A) Those are just where they meet in the middle, and D is the middle point of CDH.

B) Those are literally just the sides.

C) There's acute, obtuse, right etc. angles. Acute angles are less than 90 degrees. And your angle is definitely less than 90.

Plz helpp


I’ll mark you brainliest

Answers

Answer:52°

Step-by-step explanation:

x+x+14=90

Collect like terms

x+x=90-14

2x=76

Divide both sides by 2

2x/2=76/2

x=38

angle (x+14)°=(38+14)°=52° which is vertically opposite to angle PKQ.

Since Vertically opposite angles

Therefore angle PKQ=52

If you change the sigh of a point y-coordinate, how will the location of the
point change?

Answers

Answer:

It will reflect across the x axis

Hope this helps!