A lumber company is making boards that are 2638.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 18 is made, and it is found that they have a mean of 2636.5 millimeters with a standard deviation of 12.0. A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the boards are either too long or too short

Answers

Answer 1

Answer:

The answer is "Fail to reject [tex]H_o[/tex], because  [tex]w_o[/tex] is sufficient evidence for claim".

Step-by-step explanation:

[tex]H_0 \mu=2638.0 \ \ / \ \ H_a \mu \neq 2638.0 \\\\\mu < 2638.0 \ \ or \ \ \mu > 2638.0 \\\\\alpha =0.05 \ \ level \ \ at \ \ sufficient \\\\[/tex]

Test Statistic:

[tex]t =\frac{\bar{x}- \mu}{\frac{S}{\sqrt{n}}}\\\\=\frac{2636.5- 2638.0}{\frac{12.0}{\sqrt{18}}}\\\\= -0.5303\\\\[/tex]

[tex]dt=17\\\\[/tex]

p-value[tex]=0.6028[/tex]  


Related Questions

Find the least common multiple (LCM) for the pair of numbers 6 and 18 ​

Answers

Answer:

the lcm is 6

Step-by-step explanation:

6 divided by 3 is 1

18 divided by 3 is 6

6 becomes 3 and 2

Answer:

18

Step-by-step explanation:

Since the question is asking for the least common multiple, you factor out the 6 in 18 and 6. This gives you 631 as the LCM because you have factored out 6 and this is the GCF because there are no more common factors between 3 and 1. Since 631 equals 18, 18 is the LCM

Find the area of the polygon to the nearest square inch.

Answers

Answer:

137 in.^2

Step-by-step explanation:

A = nsa/2

where

n = number of sides = 9

s = length of side = 4.7 in.

a = length of apothem = 6.5 in.

A = (9)(4.7 in.)(6.5 in.)/2

A = 137.475 in.^2

Answer: 137 in.^2

Which is equivalent to the series shown?
12
Which expansion is equivalent to the summation
shown?
12
12
20 Σ
1
n=9 n=9
n +
n=9
X
1 1 1 1
20+9+10+11+12+
9 10 11 12
-
Σ (20n +
+
Ź 201n+ )
20
n
n-9
x
1
1
-
1
11
1
12
20(9 + 10 +11+12) +.
9 10
2019 +10 +1
X
1 1 1
20 9+10 +11+12+
9 10 11 12
n +
n-9
12 12
1
12 + 20
n
n=9 n-9
12 12
1
n+
n-9 n=9n
1 1 1
9+10+11+12+ 20
9 10 11 12
20Σ
COMPLETE
Na
Intro
Final

Answers

Answer:

first one is (d) second one is (b)

Step-by-step explanation:

Help me please !!!!!!!!!!!!!!

Answers

answer is B.
the question says that a total of 108 blue shirts and 96 green shirts are sold, so we calculate the total number of shirts in the respective rows, while ensuring that the total number of shirts in the columns add up to 60 small, 86 medium, and 58 large respectively

Any help would be appreciated

Answers

Answer:

$8.25

Step-by-step explanation:

I don't know how to explain it to you but if I'm wrong tell me I'll try it aagain.

Emily has six black marbles, ten clear marbles, and four blue marbles in a bag. If she picks one
at random, what is the probability that she will pick a black marble?

Answers

Answer:

3/10

Step-by-step explanation:

Jarrod helped his teachers pack textbooks into boxes for the summer. He packed 6 boxes of science textbooks with 14 books per box. He also packed math textbooks with 12 books per box.

If x represents the total number of boxes he packed, which of the following equations can be used to find the total number of books that Jarrod packed into boxes?
A. y = 84(x - 6) + 12
B. y = 12x + 84
C. y = 84x + 12
D. y = 12(x - 6) + 84

Answers

Answer:

Step-by-step explanation:

Answer:

Biy.com/5698

What is the mean and MAD of this data set​

Answers

Answer:

Option B will be your answer

Step-by-step explanation:

mean:6 gerbils

MAD:2.29

so its B

hope it helps

have a great day!!

If the die is rolled 24 times, Find the experimental probability of rolling a 5. Simplify!

Answers

Answer:

gay

Step-by-step explanation:

john takes a small business loan
for $18,000. the term for
repayment is 60 months and
the annual interest rate is 5.25%.
using the monthly payment
formula, what is the estimated
monthly payment?

Answers

9514 1404 393

Answer:

  $341.75

Step-by-step explanation:

You have not provided the formula, so we'll use one we like:

  A = P(r/12)/(1 -(1 +r/12)^(-n)) . . . . principal P, annual rate r, n months

  A = $18,000(0.0525/12)/(1 -(1 +0.0525/12)^-60) ≈ $341.75

The monthly payment is about $341.75.

I’ll give points + brainslist, if you don’t know don’t bother answering (:

Answers

C. 35 because c. Is the right answer just trust me ok

The value of an autographed baseball card increased from $39 to $65 what is the percent increase in value of the baseball card?

Answers

:

The percent increase is found by finding the difference between the two prices and then dividing that different by the beginning price.

For this example it would be 65-39= $26. So $26/$39(the starting price) is 0.666... This is equivalent to about 66.67%. So, the price of the card increased by about 66.67%

Answer:

66.7%

Step-by-step explanation:

the value increased by 26

percentage increase =increase /initial value ×100

=26/39×100=66.7%

Is this the correct answer? Pls help me

Answers

Answer:

Yes

Step-by-step explanation:

Yes it is the answer

10
TIME REMAININ
58:05
The point plotted on the number line is a
5
What is the approximate value of x?
4
9
17
20

Answers

Answer:

17

Step-by-step explanation:

[tex]\sqrt{x} = 4.1[/tex]

16 is close to 4^2. Only other viable option is 17. GL ON UR TEST :D

A class consists of 1/2 freshmen, 1/8 sophomores, and 1/8 juniors; the rest are seniors. What fraction of the class is seniors?

Answers

Answer:

2/8

Step-by-step explanation:

freshman=4/8

1/8 soph    1/8 jr

add all together u get 6/8

the rest is seniors so its 2/8

Find the value of x
Please help

Answers

The answer will be (B) -9 because since the angles are equal, the two sides must be equal also.
Therefore
x+16=7
And then
x= 7-16
x=-9

Answer:

b

Step-by-step explanation:

subtract 9 from 16

Last year, scientists claimed there were 10,000 different species of ants around the world. Since then, the number of different species have decreased by 5.1%. How many different species of ants are estimated currently?

help what's the correct answer and how did u get it

Answers

Answer:

9490.

Step-by-step explanation:

First you take 5.1% of 10,000 which is 510 and then you do 10,000-510= 9490.

Hope this helps!

The answer to your question is 9490






:)

keaton hasan aquarium 30 inches long, 24 inches wide and 15 inches high. if he fills the aquqrium with watef up to 4 inches from the top, what will be the volume of water in the aquarium?​

Answers

Answer:

7920

Step-by-step explanation:

Calculator

I'm unsure how to solve for w, can someone please help?

Answers

Answer:

w = 1/2

Step-by-step explanation:

One of the ways to solve problems using log is to use these two equations that use the same variables and plug in numbers.

log b (a) = c

b^c = a

By plugging in the numbers we get this:

log 16 (4) = w

16^w = 4

w = 1/2

Mikaela has saved $375 to purchase a new phone. This is of the total price of the phone. What is the price of the phone?​

Answers

Answer:

$375

Step-by-step explanation:

If she has saved $375, and the price of the phone is also $375, then the price of the phone must be $375.

In order to make an A on her project, Sarah needs at least 160 points. She has already turned in part of her work and has been given 125 points so far. write and solve the inequality that models this situation and found out how many points Sarah needs for the last part of her project to get an A

Answers

A=160-125
A=35
The answer is she needs 35 more points to get her A

1. (20 points) One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 150 clamps, the average time needed to complete this step was 72 seconds and standard deviation was 10 seconds. (a) Find a 99.5% confidence interval for the mean time needed to complete the step. (b) What is the confidence level of the interval (71, 73)? (c) How many clamps must be sampled so that 99.5% confidence interval specifies the mean to within ±1.5 seconds? (d) Can you conclude that the mean time needed to complete the step is greater than 73 seconds? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?

Answers

Answer:

(69.708 ; 74.292) ; 78% ; 350 ;

H0 : μ = 72

H0 : μ > 72

Pvalue = 0.8897

there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Step-by-step explanation:

99.5% confidence level, = 2.807

Sample size, n = 150

xbar = 72

Standard deviation, s = 10

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 2.807 * 10/sqrt(150)

Margin of Error = 2.292

Lower boundary = 72 - 2.292 = 69.708

Upper boundary = 72 + 2.292 = 74.292

(69.708 ; 74.292)

B.)

Confidence level of the interval (71, 73)

(72 - 71 ) or (73 - 72)

Margin of Error = 1

Margin of Error = Zcritical * s/sqrt(n)

1 = Zcritical * 10/sqrt(150)

1 = Zcritical * 0.8164965

Zcritical = 1 / 0.8164965

Zcritical = 1.2247

α = 0.22 = 1 - 0.22 = 0.78 = 78%

C.)

Margin of Error = ±1.5

1.5 = Zcritical * s/sqrt(n)

99.5% confidence level, = 2.807

1.5 = 2.807 * 10/sqrt(n)

1.5 = 28.07 / sqrt(n)

Square both sides

1.5² = 28.08² / n

2.25n = 788.4864

n = 788.4864 / 2.25

n = 350.4384

n = 350 samples

D.)

H0 : μ = 72

H0 : μ > 72

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(73 - 72) ÷ 10/sqrt(150)

Test statistic = 1.2247

Pvalue :

P(Z < 1.2247) = 0.8897

Pvalue > α

0.8897 > 0.005

We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Please help, brainliest for correct answer

Answers

Can the prrson that answers this plz a swer my wuestion below

Answer:

V = 706.5 in³

Step-by-step explanation:

V = πr²h = 3.14(5²)9 = 706.5 in³

1/3 of 36 solve using a tape diagram

Answers

That would be 12! I’m not sure what a tape diagram is but the answer is that. 1/3 * 36= 12

HELP ME PLS THANK YOU<333

Answers

Answer:

d

Step-by-step explanation:

edge 2020

p.s. pls mark brainliest, and have a good day! :)

What percent of the model is shaded green?

Answers

Answer:

1/5%

Step-by-step explanation:

The percentage of the model shaded green will be 20.

How to find how much percent 'a' is of 'b'?

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

The total number of the box in the figure is 100.

The total number of shaded green = 20

So,

[tex]\dfrac{20}{100} \times 100[/tex]

20%

Therefore, The percentage of the model shaded green will be 20.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

A cold water tap can fill a tub in 6 minutes, and a hot water tap can fill the tub in 8 minutes. A drain can empty a full tub in 10 minutes. If both taps are on and the drai is open, how long will it take to fill the tub? It will take
how many minutes?

Answers

Answer:

12 minutes

Step-by-step explanation:

The Hot tap fills 1/30th of the bath in 1 minute. The cold tap fills 1/20th of the bath in one minute. In one minute both taps together will fill (1/30 + 1/20) of the bath, which is 5/60ths or 1/12th of the bath. Since it takes one minute to fill 1/12th of the bath, it’ll take 12 minutes to fill the bath

Guys please help i dont understand im bad at math

Answers

The first on is B and the second one is C
first one is b and the other is d

This equation shows how the money Kensington Middle School spends on workbooks is related to the total number of workbooks they buy.d = 64.6tThe variable t represents the number of workbooks bought by the school, and the variable d represents the total cost of those workbooks. At most how many workbooks can Kensington Middle School buy if it has $64.60 to spend?

Answers

Answer:

1 workbook

Step-by-step explanation:

Equation:

d = 64.6t

Given:

d = total cost

t = number of workbooks

Work:

d = 64.6t

64.6 = 64.6t

t = 64.6/64.6

t = 1

Answer: 1 work book t=1

Step-by-step explanation:

Pleaseeee helpp which one is it and whyyyy!!!!

Answers

Answer:

answer is A

Step-by-step explanation:

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