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
Contact [7]
3 years ago
6

At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician

tests 44 samples and determines the volume of each sample. The 44 samples have a mean volume of 251.6 mL. The machine is out of calibration when the average volume it dispenses differs significantly from 250 mL. The technician wants to perform a hypothesis test to determine whether the machine is out of calibration. Assume σ = 5.4 is known. Compute the value of the test statistic.
Mathematics
1 answer:
Serhud [2]3 years ago
4 0

Answer:

The value of the test statistic is t = 1.97

Step-by-step explanation:

The null hypothesis is:

H_{0} = 250

The alternate hypotesis is:

H_{1} \neq 250

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the null hypothesis value, \sigma is the standard deviation and n is the size of the sample.

In this problem:

X = 251.6, \mu = 250, \sigma = 5.4, n = 44

So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}

t = 1.97

The value of the test statistic is t = 1.97

You might be interested in
Find the equation of the line that contains the given point and has the given slope-
mylen [45]

Answer:

y-5 = -3x

or

y = -3x+5

Step-by-step explanation:

We can use the point slope form of the equation

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y-5 = -3(x-0)

y-5 = -3x

We can change it to slope intercept form y= mx+b by adding 5 to each side

y-5+5 = -3x+5

y = -3x+5

3 0
2 years ago
Read 2 more answers
For a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice. The correlation is
olga nikolaevna [1]

Answer:

Step-by-step explanation:

Given that for a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice.

The correlation is r = 0.9

If you had measured tail length in centimeters instead of millimeters, what would be the correlation?

For this we must understand the meaning of correlation and formula

Correlation is a measure of linear association between the two variables and always lie between -1 and 1

This is got by dividing covariance of (x,y) by product of std deviation of x and y

So because we changed the units of length correlation coefficient would not change.

It would remain the same as 0.90

8 0
3 years ago
Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5
ale4655 [162]

Answer:

FV= $3,725.07

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,294

Number of periods (n)= 5 years

Interest rate (i)= 2.6% = 0.026

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= PV*(1+i)^n

FV= 3,294*(1.026^5)

FV= $3,725.07

3 0
3 years ago
I need the answer !!!
bonufazy [111]
I'm guessing you are looking for the answer on the first question, because I cannot read the rest of the second one lol.
So start with the volume of cone formula:  V=3.14(5)^2 (6/3)
157.08
157
H is the answer
4 0
3 years ago
Find the slope of the line through each pair
Alekssandra [29.7K]

Answer:A) -4/3 B) 1/2 C) -5/4

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

For A) let (x1, y1) = (8, -7), (x2, y2) = (5, -3)

Slope = (-3 -(-7)) / (5 - 8) = 4/-3

For B) let (x1, y1) = (-5, 9), (x2, y2) = (5, 11)

Slope = (11 - 9) / (5 - (-5)) = 2/10 = 1/2

For C) let (x1, y1) = (-8, -4), (x2, y2) = (-4, -9)

Slope = (-9 -(-4)) / (-4 - (-8)) = -5/4

6 0
3 years ago
Other questions:
  • Which graph best represents the function f(x) = 1(1.5)x?
    5·1 answer
  • What ratio can we say are equivalent to 2:9 how do you get the answer explain to me
    14·1 answer
  • Which is the equation of a line that has a slope of Negative two-thirds and passes through point
    15·2 answers
  • Help ans explain very easy
    12·1 answer
  • What kind of triangle has 105 degress?
    9·1 answer
  • Write in standard form a)0.00000678 b)3170000
    15·1 answer
  • A cheetah can run 60 miles per hour. A lion can
    14·2 answers
  • To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, What is the slope of the line represen
    13·1 answer
  • What is the value of q ?
    5·2 answers
  • Figure out the answer to this question.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!