Which of the following options best describes the function graphed below?

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

tatuchka [14]

Answer:

a)Null hypothesis:- H₀: μ> 500

Alternative hypothesis:-H₁ : μ< 500

b) (5211.05 , 5411.7)

95% lower confidence bound on the mean.

c) The test of hypothesis t = 5.826 >1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

Step-by-step explanation:

Step :-1

Given a random sample of 15 devices is selected in the laboratory.

size of the small sample 'n' = 15

An average life of 5311.4 hours and a sample standard deviation of 220.7 hours.

Average of sample mean (x⁻) = 5311.4 hours

sample standard deviation (S) = 220.7 hours.

Step :- 2

a) Null hypothesis:- H₀: μ> 500

Alternative hypothesis:-H₁ : μ< 500

Level of significance :- α = 0.95 or 0.05

b) The test statistic

$t = \frac{x^{-} - mean}{\frac{S}{\sqrt{n-1} } }$

$t = \frac{5311.4 - 500}{\frac{220.7}{\sqrt{15-1} } }$

t = 5.826

The degrees of freedom γ= n-1 = 15-1 =14

tabulated value t =1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

calculated value t = 5.826 >1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

Null hypothesis is rejected at 95% confidence on the mean.

C) The 95% of confidence limits

$(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } ,x^{-} + t_{0.05}\frac{S}{\sqrt{n} } )$

substitute values and simplification , we get

$(5311.4 - 1.761 \frac{220.7}{\sqrt{15} } ,5311.4 +1.761\frac{220.7}{\sqrt{15} } )$

(5211.05 , 5411.7)

95% lower confidence bound on the mean.

5 0

3 years ago

Please help what’s the answer

max2010maxim [7]

Answer:

c

Step-by-step explanation:

When you provide heat (thermal energy) to the gas molecules, their root mean square velocity (kinetic energy) increases, as a result they the gas exerts a higher pressure on the walls of the balloon and the balloon expands.

3 0

3 years ago

Read 2 more answers

I need the answers and the work plsss help

Ilya [14]

The area of the room is 147.5 square feet so Michelle's reasoning was incorrect.

Step-by-step explanation:

Step 1:

To calculate the area of the given room, we divide the unknown shape into known shapes.

The room's shape is made of 2 rectangles.

The area of a rectangle is the product of its length and its width.

One rectangle has a length of 10 feet and a width of 12 1/2 feet.

The other rectangle has a length of 15 - 10 = 5 feet and a width of 4 1/2 feet.

Step 2:

The area of the first rectangle = (10)(12 1/2) = (10)(12.5) = 125 square feet.

The area of the second rectangle (10)(4 1/2) = (5)(4.5) = 22.5 square feet.

The total area of the room = 125 + 22.5 = 147.5 square feet.

3 0

2 years ago

Read 2 more answers

The hart family drove 10 hours to their vacation spot. they drove an average of 48 miles each hour. how miles did they drive in

tankabanditka [31]

Distance = Average speed * Time = 48*10 = 480 miles

So, they drove for 480 miles

8 0

3 years ago

Read 2 more answers

K(x) = 6x+100 k(-5) =

kkurt [141]

Answer:

$k(-5)=70$

Step-by-step explanation:

The given function is

$k(x)=6x+100$

To find k(-5), we put x=-5 into the given function to get;

$k(-5)=6(-5)+100$

Multiply out to obtain;

$k(-5)=-30+100$

This is the same as;

$k(-5)=100-30$

This simplifies to

$k(-5)=70$

3 0

3 years ago