1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
almond37 [142]
3 years ago
9

A standard fluorescent tube has a life length that is normally distributed with a mean of 7000 hours and a standard deviation of

1000 hours. A competitor has developed a compact fluorescent lighting system that will fit into incandescent sockets. It claims that a new compact tube has a normally distributed life length with a mean of 7500 hours and a standard deviation of 1200 hours.
1. Which fluorescent tube is more likely to have a life length greater than 9000 hours?
Mathematics
1 answer:
adell [148]3 years ago
7 0

Answer:

The new compact tube is more likely to have a life length greater than 9000 hours.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Standard tube:

\mu = 7000, \sigma = 2000

New compact tube:

\mu = 7500, \sigma = 1200

1. Which fluorescent tube is more likely to have a life length greater than 9000 hours?

Whichever tube has the lower z-score when X = 9000, since the probability of having a life length greater than 9000 hours is 1 subtracted by the pvalue of Z when X = 9000. The higer z, the higher it's pvalue.

Standard tube:

Z = \frac{X - \mu}{\sigma}

Z = \frac{9000 - 7000}{1000}

Z = 2

New compact tube:

Z = \frac{X - \mu}{\sigma}

Z = \frac{9000 - 7500}{1200}

Z = 1.25

The new compact tube is more likely to have a life length greater than 9000 hours.

You might be interested in
andy earned $38 on monday and $34 on tuesday.how many lucky bamboo plants can he buy with the total money he earned?
solong [7]
How much does each bamboo plant cost. This is impossible to solve without knowing the cost. I you have the cost i would be happy to help.
8 0
3 years ago
9 - 3 ( 5 - 4 x ) =============
tangare [24]

Answer:26x will be your answer

8 0
3 years ago
Read 2 more answers
If the cost of 10 tables is $750. Find the number of tables that can be purchased with $8250.
Luden [163]
Your answer is 110. You take 10 and divide it by 750. = 75 then you take 75. Divided 8250. = 110
4 0
3 years ago
Anybody good in geometry and know how to do this? Free Brainliest and points !! I need at least 3 ppl to answer this !
yan [13]

Answer:

IM TERRIBLE IN GEOMETRY

Step-by-step explanation:

8 0
2 years ago
What is 14 divided by 7/8
Sliva [168]

Answer:

16

Step-by-step explanation:

You have: 14 / (7/8)

To divide by fractions, all you have to do is take the reciprocal of the second number, aka flip it

so, if you do that, you get 14 * 8/7

14*8=112, and 112/7 is 16

4 0
3 years ago
Read 2 more answers
Other questions:
  • 13. Apply the rules for order of operations to simplify 2 + 3 − 4 + (5 × 4). A. 9 B. 24 C. 22 D. 21
    6·1 answer
  • I have a total of 29 coins-they are quarters and dimes. Together they amount to $5.60. How many quarters do I have? How many dim
    12·2 answers
  • Convert 0.001 to a power of ten
    5·1 answer
  • What is the mixed fraction for 27/5
    14·2 answers
  • 7 3/4 - 1 2/7 - 3/2 = ?
    9·1 answer
  • Which of the following describes a positive correlation?
    6·1 answer
  • Evaluate the expression 50 - t when t equals 10, 20, or 25. Then
    12·2 answers
  • Rhonda's backyard has a rectangular patio that is 12.5 feet long,
    9·1 answer
  • Can someone Please abswer this i'll give 40 points and maybe brainliest for the best answer :]
    7·1 answer
  • Which inequality matches the graph
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!