The titanium content of an alloy is being studied in the hope of ultimately increasing the tensile strength. An analysis of six recent heats chosen at random produces the following titanium contents. 9.7% 7.4% 5.9% 7.7% 7.5% 8.9% What is the value of the test statistic, if the alternative hypothesis is the mean titanium content is greater than 9.5%?

Answers

Answer 1

Answer:

Tstatistic = - 3.068

Step-by-step explanation:

Given the data: 9.7% 7.4% 5.9% 7.7% 7.5% 8.9%

Mean titanium > 9.5%

Test statistic :

(m - μ) / (s/√n)

From the data: obtain the sample mean and standard deviation

From the data given ;

Calculate the same mean and standard deviation :

Using calculator :

Sample mean (m) = ΣX / n

Sample size (n) = 6

m = 47.1 / 6 = 7.85

Standard deviation (s) :

Using calculator = 1.317

Hence,

(m - μ) / (s/√n)

Tstatistic = (7.85 - 9.5) / (1.317/√6)

Tstatistic = - 1.65 / 0.5376629

Tstatistic = - 3.068


Related Questions

what is 8.05 x 10 to the 5th power in standard notation

Answers

805000.0 • 10^5 ( i think that’s right)

Answer:

0.0000805

Step-by-step explanation:

Tabitha collects quarters from different states. The value of her collection is $17.75. How many quarters does she have in her collection?

Enter the correct answer in the box.

Answers

Answer:

there is 74 quarters

Step-by-step explanation:

$17.75 divided by 25 equals 71 and there is stillb75 left how many quarters are in that 3 quarters so 71 plus 3 equals 74

in equilateral triangle DEF, m

Answers

Answer:

please write the full questions

2×3+4-5
please help ​

Answers

Step-by-step explanation:

PEMDAS

parentheses, exponents, multiplication, division, addition, subtraction.

first multiply:

2×3=6

6+4-5

Now add

6+4=10

Now subtract

10-5=5

5 is the answer

I hope this helped! :)

SOLVING STEPS...

FIRST CALCULATE 2 × 3

SO IT'S 6

NOW THE FORM IS

[tex]6 + 4 - 5[/tex]

CALCULATE THE SUM OF DIFFERENCE

SO THE ANSWER IS

[tex]5[/tex]

GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...

2.4 x 24.12 need help I’m stuck help

Answers

Answer: 57.888

Step-by-step explanation: you have to use long multiplication to evaluate

Answer :

Person above me got it right (57.888)

A machine that fills bottles on an assembly line does so according to a normal distribution, where the mean amount of liquid poured into each bottle is 11.95 ounces with a standard deviation of 0.045 ounces. If more than 12.10 ounces is poured into a bottle, it will overflow and waste the liquid.

Required:
What is the probability that a bottle has more than 12.10 ounces poured into it, causing it to overflow?

Answers

Answer:

The probability is [tex]P( X > 12.10 ) =0.0004[/tex]

Step-by-step explanation:

From the question we are told that  

    The mean is  [tex]\mu = 11.95 \ ounce[/tex]

     The  standard deviation is  [tex]\sigma = 0.045 \ ounce[/tex]

 Generally the  probability that a bottle has more than 12.10 ounces poured into it, causing it to overflow is mathematically represented as

      [tex]P( X > 12.10 ) = P( \frac{X - \mu }{\sigma } > \frac{ 12.10 - 11.95}{0.045} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

     [tex]P( X > 12.10 ) = P( Z > 3.33 )[/tex]

From the z table  the area under the normal curve to the right corresponding to  3.33   is

     [tex]P( Z > 3.33 ) = 0.0004[/tex]

=>  [tex]P( X > 12.10 ) =0.0004[/tex]

Can someone help me solve multiple step equations? For example (7t - 2) - (-3t + 1) = -3(1 - 3t)

Answers

Answer:

t = 0

Step-by-step explanation:

(7t - 2) - (-3t + 1) = -3(1 - 3t)

because you can not do anything inside the parantheses, you distribute. there aren't any numbers on the left side of the parantheses on the left side of the equation so we just imagine the number 1. on the right side of the equation, just distribute normally

[ 1(7t - 2) -1(-3t + 1) = -3(1 - 3t) ]

will be

7t - 2 + 3t - 1 = -3 + 9t

add like terms

10t - 3 = -3 + 9t

subtract 9t from both sides

t - 3 = -3

add 3 to both sides

t = 0

HELP PLS I WILL MARK BRAINLIEST!!

Answers

B i could be wrong tho

How to solve D - 8/5 = -4

Answers

Answer:

A= 5/7b +8

Step-by-step explanation:

The basic idea is that you can do anything you want (except divide by

zero) to either side of the equation, so long as you do the same thing

to the other side, too.

6(-5+4)
Ok thx please show the steps?

Answers

6 (-5 + 4)

Sčítaním -5 a 4 získate -1.

6(-1)

Vynásobením 6 a -1 získate -6

Výsledok je -6

6(-5+4)
6(-1)
-6

Merry Christmas

Given m||n, find the value of x.
+
(6x-7)°
>
(4x-1)^

Answers

Answer

Step-by-step explanation:

6x-4x=2x=7-1=6

2x=6

-2x-2x=x 6/2x=3

x=3

Can we create scaled copies by adding or subtracting
the same value from all lengths? Why or why not?

Answers

Answer: no

Step-by-step explanation:

Because to make a scaled copy you have to MULTIPLY or DIVIDE all the lengths of the figure

Find the slope of the line. 2x - 4y = 18

Answers

solve for y.
2x - 4y = 18
-4y = -2x + 18
y = 1/2x - 9/2
the slope is 1/2

Answer:

The slope would be 1/2.

Step-by-step explanation:

Step one: Subtract 2x from both sides to get, -4y=-2x+18

Step two: Divide -4 from all sides

It is just that simple. Hope this helps. Have an awesome day!!!!!!!

2/3 divided 1/4 , give answers in simplest form

Answers

Answer:

2 2/3

Step-by-step explanation:

What is the answer to x/3 = 6/9

Answers

Answer:

x/3 = 6/9

3 x 2 = 6

3 x 3 = 9

x = 2

1/3 + 2/3 + 2/3 as a fraction pls helppp

Answers

Answer:

5/3

Step-by-step explanation:

Answer:

1 and 2/3

Step-by-step explanation:

They have a common denominator so add the top numbers and get 1 whole, and 2/3's.

The sum of two integers is 31. The larger of the two integers is

4 more than 2 times the smaller integer. What are the integers?

Answers

Answer:

The integers are  9 and 22

Step-by-step explanation:

Step one:

given data

let the smaller integer be x

and the bigger be y

x+y=31-----------1

so

y=(2x+4)

Step two:

put y=(2x+4 in equation 1 we have

x+2x+4=31

3x+4=31

3x=31-4

3x=27

divide both sides by 3

x=27/3

x=9

the smaller integer is 9

the bigger is 2(9)+4= 18+4=22

3.2 x 10-2 +3.2 x 10-4 +
28 x 10-2

Answers

Answer:

336 I assume if using PEMDAS

Step-by-step explanation:

Cumulative interest payment excel

Answers

Answer:

What is the question here?

put the question in the replies of this answer and I'll help you.

May I have brainliest please? :)

Help me out hereeeeeeeeeeeee

Answers

Answer:

I think the first one

Step-by-step explanation:

Answer:

3 1/7

Step-by-step explanation:

5/6 * 4 = 20/6

20/6 = 3 2/6 = 3 1/3

HELP Please 25 Points Calculus

Answers

(I) is not necessarily true. Consider the function f(x) = - |x| on the interval [-1, 1]. There's a maximum at x = 0, but f' (0) does not exist.

But both (II) and (III) are true, so the answer is A.

what is the simplified form of the expressions?

a. -6a^2b^-1

b. 5/y^-3

Answers

Answer:

option a

hope this helped.


y = -9x + 5
y = –10.

Answers

Answer:

x=5/3 simplified x= 15/9

Step-by-step explanation:

Brain Builders
6. Marcus counts 24 children playing.
6 play ball. 5 play tag. How many
children are not playing ball or tag?
children

Answers

Answer:

13 children

Step-by-step explanation:

What I did first is ad 6 and 5(which is 11). What I did next is subtract 11 from 24 (which is 13) Please vote brainliest need it to rank up

PLS HELP ASAPPPPP WITH PART B, C, & D PLS PLS

Answers

Answer:

Part b would be 4 and c would be 5 and d  would be 19

Step-by-step explanation:

So yea do those

Jeremiah is saving money from a tutoring job. After the first three weeks, he saved $135. Assume the situation is proportional. Use the unit rate to write an equation relating the amount saved s to the number of weeks w worked. At this rate, how much will Jeremiah save for eight weeks? *

Answers

Answer:

After the first 3 weeks Jeremiah saved $135. If the situation is proportional:

$135 : 3 = $ 45. It means that he can save $45 for one week.

Therefore an equation is:

s = 45 * w,

where s is the amount saved and w is the number of weeks.

After 8 weeks :

s = 45 * 8 = $360.

Step-by-step explanation:

13 less than 2/3 of a number

Answers

Answer:

[tex]\frac{2}{3} x-13[/tex]

Explain how you can find any power of 1

Answers

Answer:

It's just the number that is to the first power

Step-by-step explanation:

Negative one fourth plus three fourths

Answers

Answer:

no

Step-by-step explanation:

-1/4 + 3/4 = 0.5 I hope this helped

Find the slope of the line passing through the points (-9, 3) and (-9, -2).

Answers

Answer:

Undefined

Step-by-step explanation:

Slope of the line

[tex] = \frac{ - 2 - 3}{ - 9 - ( - 9)} \\ \\ = \frac{ - 5}{ - 9 + 9} \\ \\ = \frac{ - 5}{0} \\ \\ = \infty \: \: or \: undefined[/tex]

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