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
aksik [14]
3 years ago
14

The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed.

A random sample of 15 devices is selected and found to have an average life of 5625.1 hours and a sample standard deviation of 226.1 hours.
(a) Test the hypothesis that the true mean life of a biomedical device is greater than 5500 using the P-value approach.
(b) Construct a 95% lower confidence bound on the mean.
(c) Use the confidence bound found in part (b) to test the hypothesis
Mathematics
1 answer:
bearhunter [10]3 years ago
4 0

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : μ = 5500

H1 : μ > 5500

The test statistic assume normal distribution :

Test statistic :

(Xbar - μ) ÷ s/sqrt(n)

(5625.1 - 5500) ÷ 226.1/sqrt(15) = 2.1429 = 2.143

Pvalue from test statistic :

The Pvalue obtained using the calculator at df = 15 - 1 = 14 is 0.025083

α = 0.05

Since ;

Pvalue < α

0.025083 < 0.05 ; Reject H0

The confidence interval :

Xbar ± Tcritical * s/sqrt(n)

Tcritical at 95% = 1.761 ;

margin of error = 1.761 * 226.1/sqrt(15) = 102.805

Lower boundary : (5625.1 - 102.805) = 5522.295

(5522.295 ; ∞)

The hypothesized mean does not occur within the constructed confidence boundary. HENCE, there is significant eveidbce to support the claim that the true mean life of a biomedical device is greater than 5500

You might be interested in
Pls help plssss I beg plsss
Daniel [21]

Answer:

2 1/4

so last option :)

4 0
3 years ago
10% of what number is 78?
Zepler [3.9K]

Answer: x = 780

Step-by-step explanation: Well <u><em>percent</em></u> means <em>over 100</em> so we can set up an equation for this problem by reading it from left to right.

So we know that <u><em>10%</em></u> means <em>10/100</em>, <u><em>of</em></u> means times, <em><u>what</u></em> <em><u>number</u></em> means <em>x</em>, <u><em>is</em></u> means <em>equals</em>, and <em><u>12</u></em> means 12.

Notice that <em>10/100</em> can be reduced to 1/10.

So rewriting our problem we have <em>X/10 = 78</em>.

To get rid of the fraction, we multiply both sides of the equation by 10 and we have <em>x = 780</em>. So, 10% of 780 is 78.

Now let's check our answer back in the original problem to see if it makes sense.

We have <em>10% of 780 is 78</em>. Well we know that 100% of of 780 would be 780 so 10% of 780 should be alot less than 780 so 78 seems to make sense.

Image provided showing my work.

5 0
3 years ago
Read 2 more answers
How to factor z^12 - 64 (question 17.)
aivan3 [116]
(z^6 - 8)(z^6 + 8) is the answer. If you verify this by multiplying, you will see that: (z^6 - 8)(z^6 + 8) = z^(6+6) + 8z^6 - 8z^6 - 64 = z^12 + 0 - 64 = z^12 - 64 Hope this helps, Brian
4 0
3 years ago
Given the function g(x) = 8x − 2, compare and contrast g(−2) and g(4). Choose the statement that is true concerning these two va
stira [4]
The value of g(−2) is smaller than the value of g(4).
4 0
3 years ago
Read 2 more answers
Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. 49/100
dmitriy555 [2]
49 ÷ 100

= 0.49

0.49 x 100 = 49%
7 0
3 years ago
Other questions:
  • A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.
    10·2 answers
  • What is the answer to 2_5x_=_45.
    6·1 answer
  • determine whether or not the two questions below have the same solution period and two or more complete sentences, explain your
    9·1 answer
  • Find the value of x. The diagram is not to scale.
    13·1 answer
  • If there are tickets sold to children for $5 and $12 to adults, and there are only 400 tickets sold for $3925 then how many chil
    11·1 answer
  • what is the length of a tractor trailer if the volume of the trailer is 2000 cubic feet, the width is 7 feet 6 inches and the he
    8·1 answer
  • El alcance de tangente
    15·1 answer
  • Find the slope and the y-intercept of the line<br> slope intercept is:<br> y=-5/2x+5
    5·2 answers
  • Find the earnings rounded to the nearest cent <br>sales: $984 <br>commission: 10%​
    10·1 answer
  • Suppose that z=6^500. Express the following in terms of z.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!