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
Nostrana [21]
3 years ago
15

The manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour. (a-1) At α = .05 i

n a left-tailed test, would a sample of 16 randomly chosen hours with a mean of 538 and a standard deviation of 50 indicate that the manufacturer’s claim is overstated? Choose the appropriate hypothesis.
Mathematics
1 answer:
ioda3 years ago
6 0

Answer:

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given sample size 'n' =16

Given the manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour.

mean of the Population 'μ' = 560

Mean of the sample Χ⁻ = 538

sample standard deviation' S' = 50

<em><u>Null hypothesis</u></em><em>:H₀:μ > 560</em>

<em><u>Alternative Hypothesis</u></em><em>:H₁ : :μ < 560 (left tailed test)</em>

<em>Test statistic</em>

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

  t = \frac{538-560 }{\frac{50}{\sqrt{16} } } = -1.76

|t| = |-1.76| = 1.76

<em>Degrees of freedom </em>

<em>γ = n-1 =16-1 =15</em>

t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } =t_{0.025} =2.131

<em><u>Conclusion</u></em>:-

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

You might be interested in
A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can?
xxMikexx [17]

For this case we have that by definition, the volume of a cylinder is given by:

V = \pi * r ^ 2 * h

Where:

A: It's the radio

h: It's the height

We have according to the data:

r = 4 \ in\\h = 15 \ in

Substituting:

V = \pi * (4) ^ 2 * 15\\V = \pi * 16 * 15\\V = \pi * 240\\V = 753.6 \ in

Thus, the volume of the paint can is 753.6 cubic inches.

Answer:

V = 753.6 \ in^3

7 0
3 years ago
Read 2 more answers
-1/2x+2=-x+7 i need to know
ludmilkaskok [199]

=  \frac{ - 1}{ \:  \: 2} x + 2 = x + 7

=  \frac{ - 1}{ \:  \:  \: 2} x + 2 - x = 7

=  \frac{ - 3}{ \:  \:  \: 2}x  + 2 = 7

=  \frac{ - 3}{ \:  \ \:  2}x = 7 - 2

=  \frac{ - 3}{ \:  \: \:  2} x = 5

x = 5 \:  \div  \frac{ - 3}{ \:  \: \:  2}

x = 5 \times  \frac{ \:  \:  \: 2}{ - 3}

x =  \frac{ - 10}{ \:  \:  \: 3}

∴  \frac{ - 1}{ \:  \:  \: 2}  \times  \frac{ - 10}{ \:  \:  \: 3}  =  \frac{ - 10}{ \:  \:  \: 3}  + 7

6 0
3 years ago
Solve 1/3x - 5/6x =1/4
Harrizon [31]

Answer:

-1/2

Step-by-step explanation:

Given:

\frac{1}{3}x  - \frac{5}{6} x = \frac{1}{4}

Find the common denominator for the fractions, which is 6. Rewrite 1/3 as 2/6.

\frac{2}{6}x  - \frac{5}{6} x = \frac{1}{4}

Combine like terms.

-\frac{3}{6} x = \frac{1}{4}

Simplify.

-0.5x = 1/4

Divide both sides by -0.5.

x = -1/2 = -0.5

Please mark as Brainliest! :)

8 0
3 years ago
Helpppppppppppppphxhxhxhxhx
pychu [463]

Answer:

C  \frac{48}{70}

Step-by-step explanation:

Option C - \frac{48}{70} is incorrect because when multiplying the numerator and denominator of the fraction \frac{7}{10} by 7, you’re suppose to get \frac{49}{70}.

4 0
2 years ago
Can someone please tell me the answer and explain how to do this, no links please thank you
avanturin [10]
<h2>If this is work out the gradient then here:</h2>

Step-by-step explanation:

3-0= 3

2-(-2)= 4

3/4= 0.75

<h3>Equation of a gradient is </h3><h2>\frac{y^2-y^1}{x^2-x^1}</h2>
7 0
2 years ago
Other questions:
  • Use the information below to answer the question: The Tigers scored 3
    7·2 answers
  • How do you make 'a' the subject of the formula: ab - cd = ac
    12·1 answer
  • What is the answer for 2b+5=15.
    10·2 answers
  • Choose an American Adult at random. The probability that you choose women is 0.25
    13·1 answer
  • 2. Solve the equation p2 + 6p = 1 by completing the square method. Show your work.
    7·1 answer
  • Baby weighed 7.25 lb at birth. At the end of 8 months, the baby weighed 2 times its birth
    6·2 answers
  • At 11:00 AM a bus left San Jose travelling to Los Angeles at 48 mph. Four hours later a motorcyclist started moving in the same
    15·1 answer
  • A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a heigh of 3 1/4 centimeters What is the vo
    12·2 answers
  • Celine's daughter is a dancer who will be participating in an upcoming recital. For each dance her daughter plans to perform, sh
    14·2 answers
  • Whats a quadrilateral
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!