A standard painkiller is known to bring relief in 3.5 minutes on average LaTeX: \muμ. A new painkiller is hypothesized to bring faster relief to patients. A sample of 40 patients are given the new painkillers. The sample yields a mean of 3.0 minutes and a standard deviation of 1.1 minutes. Using a level of significance LaTeX: \alpha = 0.05α = 0.05, the rejection region for the test is:

Answers

Answer 1

Answer:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645

Step-by-step explanation:

Setting the null and alternative hypothesis :

H0 : μ = 3.5

H1 : μ < 3.5

Sample size (n) = 40

Mean (m) = 3 minutes

Standard deviation (s) = 1.1 minutes

Test statistic : Z = (m - μ) / (s/√n)

Z = (3 - 3.5) / (1.1/√40)

Z = - 0.5 / 0.1739252

Z = - 2.8747978

Zcritical at α 0.05 = 1.645

This is a left tailed test :

Hence rejection region:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645


Related Questions

HI! Help me please! HOMEWORKKKK UGHHH

Answers

Answer:

J

Step-by-step explanation:

if you multiply any number by a number lower than 1, then the value lowers. J is the only thing that has both numbers greater than one

J make sense so go with J

A circle has a diameter of 32 m. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

[tex]C=32(3.14)=100.48\text{ meters}[/tex]

Step-by-step explanation:

We know that the circle has a diameter of 32 meters.

And we want to find its circumference.

The circumference of a circle is given by the formula:

[tex]C=\pi d[/tex]

Where d is the diameter.

So, we will substitute 32 for d and we will use 3.14 for π. Hence, our circumference will be:

[tex]C=32(3.14)=100.48\text{ meters}[/tex]

Answer:

100.48 m

Step-by-step explanation:

C=2(3.14)r

C=2(3.14)(16)

C= 100.48 m

In what ways do you follow a healthy diet?

Answers

By eating healthy and constantly working out

4.A trapezoid with a perimeter of 30 units is
graphed on a coordinate grid. The trapezoid is
dilated by a scale factor of 0.3 with the origin as the
center of dilation. If (x,y) represents the location of
any point on the original trapezoid, which ordered
pair represents the coordinates of the corresponding
point on the resulting trapezoid?
A. (30x, 30y)
B. (X - 0.3, y +0.3)
C. (0.3x, 0.3y)
D. (x + 0.3, y +0.3)

Answers

Answer:

It would be (x0.3,y0.3). C is the answer

Step-by-step explanation:

Because if you actually read it, it already gave you the answer which is the scale factor of 0.3

so that would lead to (x0.3,y0.3)

Solve -4h - 3 > 4 for h.


will give you brainliest

Answers

Answer:

h<-7/4

Step-by-step explanation:

The mean number of robberies per month in a certain town is 3. What is the probability that in any given month 5 robberies will occur in this town?

0.01
0.14
0.265
0.916

Answers

Answer:

i think  its c but not 100% tbh

Step-by-step explanation:

Find the slope
Please help

Answers

Answer:

You have to find slope by doing rise over run. Which is y2-y1 over x2-x1.

Step-by-step explanation:

0.5x + 0.25(x + 16) = 4 + 0.75x

Answers

the answer is 0.75x+4=4+0.75x meaning they have infinitely many solutions:)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]0.5x + 0.25(x + 16) = 4 + 0.75x \\ [/tex]

[tex] \frac{1}{2} x + \frac{1}{4} (x + 16) = 4 + \frac{3}{4} x \\ [/tex]

[tex] \frac{1}{2} x + \frac{1}{4} x + \frac{16}{4} = 4 + \frac{3}{4} x \\ [/tex]

[tex] \frac{2}{4} x + \frac{1}{4}x + 4 = \frac{3}{4} x + 4 \\ [/tex]

[tex] \frac{3}{4} x + 4 = \frac{3}{4} x + 4 \\ [/tex]

The sides are exactly have like terms ,

Thus we have infinite solution for the equation.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

CLASS TIME: You spend 150 minutes in three classes. Write and solve a proportion to find how many minutes you spend in five classes. (Section 3.4)​

Answers

Answer:

250

Step-by-step explanation:

150 divided by 3 is 50. Meaning you spend 50 minutes per class. 50 times 5 would be 250.

a carnival booth duck game offer cash prizes. the booth at 75 plastic ducks floating around in a wading pool. 4 ducks have a green stars on the underside, and you win $10 for selecting a duck with a green star. it costs $1 to select a duck. is this a fair game? ​

Answers

Answer:

No, it is not fair

Step-by-step explanation:

Here, we want to check if this is a fair game

To win a sum, a duck with a green star on the underside must be selected

The number of ducks with this is 4 out of 75

The probability of selecting one is 4/75

The expected value of selecting is ;

4/75 * 10 = 0.5333

The cost of selecting a duck is $1

The probability that a duck that wins will not be selected is 71/75 which at a price of $1 is 0.9467

Since the price to lose and the amount to win is not the same, then the game is not fair

PLS HELP ILL MARK AS BRAINLESS

Answers

Answer: Area is 2250 and the peremiter is 210

Step-by-step explanation:

Answer:

Area :2250

Perimeter: 210

Step-by-step explanation:

For area just multiply the two side lengths and for perimeter just add them all together-75,75,30,30.

Answer this please and fast

Answers

Answer:

The 3rd answer because each income has an outcome.

Step-by-step explanation:

Answer:

4th option is correct.

PLEASE HELP ASAP
The graph of which function has an axis of symmetry at x = one-quarter?

A: f(x) = 2x2 + x – 1
B: f(x) = 2x2 – x + 1
C: f(x) = x2 + 2x – 1
D: f(x) = x2 – 2x + 1

Answers

Answer:

its A) f(x)= 2[tex]x^{2}[/tex]+x-1

Step-by-step explanation:

Answer: A sounds correct

Step-by-step explanation:

Bill is making accessories for the soccer team. He uses 777.35 inches of fabric on headbands for 32 players and 3 coaches. He also uses 301.76 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

Fabric used on a headband for each player = 22.21 inches

Fabric used on a wristband for each player = 9.43 inches

Step-by-step explanation:

Let fabric used on each headband = [tex]h[/tex] inches

Let fabric used on each wristband = [tex]w[/tex] inches

Number of players for which headband is made = 32

Fabric used on 32 players = 32[tex]h[/tex] inches

Number of coaches for which headband is made = 3

Fabric used on 3 coaches = 3[tex]h[/tex] inches

As per question statement:

Total fabric used on headbands = 777.35 inches

[tex]32h + 3h = 777.35\\\Rightarrow 35h = 777.35 inches \\\Rightarrow h = 22.21\ inches[/tex]

Number of players for which wristband is made = 32

As per question statement:

Fabric used on wristbands = 301.76 inches

[tex]32w = 301.76\\\Rightarrow w = 9.43\ inches[/tex]

Therefore, the answer is:

Fabric used on a headband for each player = 22.21 inches

Fabric used on a wristband for each player = 9.43 inches

Round 7.284 to the nearest thousandth.

Answers

Answer:

7.28

Step-by-step explanation.

4 is rounded down to 80 and if you just take away the 0 in 80 its 8.

Answer:

it already is

Step-by-step explanation:

.2 is the tenth .28 is the hundredth and .284 id the thousandth. there arent any more decimals after that thousandth so you cant round up or down

HELP WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

huh

ok

....................................

Gabriel has these cans of soup in his kitchen cabinet.

• 2 cans of tomato soup
• 3 cans of chicken soup
• 2 cans of cheese soup
• 2 cans of potato soup
• 1 can of beef soup

Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?

Answers

Answer:

the answer is the chese soup has a good chance of being picked but not as good as the chicken soup. there would so 3:2 3 to 2. so if they picked the chese soup the first time then there is not a good chance of the chese soup to be picked again. I hope that helped if not et me know

Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.

Answers

Answer:

La longitud = 7 metros

La anchor = 10.5 metros

Step-by-step explanation:

La fórmula para el perímetro de un rectángulo es

P = 2L + 2W

L = longitud

A = ancho

P = 35 metros

se sabe que el doble de su ancho es igual a 3 veces su largo.

2A = 3L

Ancho = 3L / 2 = 1.5L

Sustituimos 1.5L por W

35 = 2 L + 2 (1.5 L)

35 = 2L + 3L

35 = 5 litros

L = 35/5

L = 7 metros

Por lo tanto, la longitud = 7 metros

Recuerda

A = 1.5 L

A = 1.5 × 7

A = 10.5 metros

La anchor = 10.5 metros

In a lab experiment, 100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 26 hours. How long would it be, to the nearest tenth of an hour, until there are 168 bacteria present?

Answers

9514 1404 393

Answer:

  19.5 hours

Step-by-step explanation:

The number in the dish at time t (in hours) can be described by ...

  n(t) = 100·2^(t/26)

We want to find t such that ...

  n(t) = 168

  100·2^(t/26) = 168

  2^(t/26) = 1.68 . . . . . . divide by 100

  (t/26)log(2) = log(1.68) . . . . . take logarithms

  t = 26·log(1.68)/log(2) ≈ 19.459992 . . . . divide by the coefficient of t

  t ≈ 19.5 . . . hours

It would be about 19.5 hours until there are 168 bacteria.

PLEASE HELP!!
(dont steal points pls)

Answers

Answer:

d

Step-by-step explanation:

How much is 2% of 3.50

Answers

Answer:

.07

Step-by-step explanation:

3.50 * 2% = .07

or

3.50 * .02 = .07

Whats the sum of -32 and 4?


A.-27
B.-3
C.3
D.27

Answers

Answer: -28

Step-by-step explanation:

The answer is not in the choices but it’s -28 if you add -32 and 4.

The slope of the line passing through the points (7, 5) and (21, 15) is____.
How do I find the slope?

Answers

Answer:

m= 5/7

Step-by-step explanation:

................................................
....

Answers

Answer:

HAVE A GOOD DAY :)))))))) <3

Step-by-step explanation:

which expression is equivalent to 8/9 divided by 3/4

Answers

Answer: 32/27 Equation: 8/9 x 4/3


Steps:

For dividing fractions remember the phrase “keep, change, change”

So keep the first fraction, change the division sign to a multiplication sign, and change the second fraction to its reciprocal.

8/9 x 4/3

Multiply the numerators together. Next, multiply the denominators together.

8 x 4 = 32
9 x 3 = 27

32/27

An art teacher mixes 20 ounces of yellow paint with 8 ounces of red paint. How many ounces of yellow paint would she need to mix with 18 ounces of red paint to maintain the same proportion

Answers

30. Answer if u place the equation into a fraction: example 20/8 yellow over red. Next let’s put the other amount into a fraction, we don’t know yellow so for the fraction we will put x: x/18. For our next step we will then cross multiply 20 by 18 and 8 by x getting 8x=360 from there you divide for x getting 45 yellow.

The total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion is 45 ounces and this can be determined by using the unitary method.

Given :

An art teacher mixes 20 ounces of yellow paint with 8 ounces of red paint.

The following steps can be used in order to determine the total amount of yellow paint:

Step 1 - The unitary method can be used in order to determine the total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion.

Step 2 - Let the total amount of yellow paint she needs be 'x'.

Step 3 - So, the value of 'x' can be calculated as:

[tex]x = \dfrac{18}{8}\times 20[/tex]

Step 4 - Simplify the above expression.

[tex]x = 45\;{\rm ounces}[/tex]

The total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion is 45 ounces.

For more information, refer to the link given below:

https://brainly.com/question/25834626

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

the answer is
y= 1/4x - 4
hope this helped!!

Answer:

might be b but I'm not 100% sure so sorry if it's wrong

Complete the point- equation of the line through (5,2) and (6,-3)

Answers

y-2= -5*( x-5)
hope this helped

Find the x and y intercept of
-x-4y=16.

Answers

The answer is going too be -4 or you can write it as (0,-4) I think
It is -4 I think lol

A video posted on the internet is becoming very popular, and the total number of views is increasing by 40% every hour. If the video currently has 74,300 views, how many views will it have in 9 hours?

Answers

Answer:

74304 approx.

Step-by-step explanation:

Step one:

given data

current view of the video is marked at =74300

the rate of increase is 40%

let the number of hours be x

and let the total views be y

hence the linear function for the total is

y=0.4x+74300

Required is the value of y when  x=9

Step two:

substitute x=9

y=0.4(9)+74300

y=3.6+74300

y=74303.6

y=74304 approx.

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