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
ki77a [65]
3 years ago
5

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. Find the te

st statistic to decide whether the mean transaction time exceeds 60 seconds.
a. 1.457
b. 2.333
c. 1.848
d. 2.037
Mathematics
1 answer:
vredina [299]3 years ago
5 0

Answer:

b. 2.333

Step-by-step explanation:

Test if the mean transaction time exceeds 60 seconds.

At the null hypothesis, we test if the mean transaction time is of 60 seconds, that is:

H_0: \mu = 60

At the alternate hypothesis, we test if it exceeds, that is:

H_1: \mu > 60

The test statistic is:

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

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

60 is tested at the null hypothesis:

This means that \mu = 60

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.

This means that n = 16, X = 67, s = 12

Value of the test statistic:

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

t = \frac{67 - 60}{\frac{12}{\sqrt{16}}}

t = \frac{7}{3}

t = 2.333

Thus, the correct answer is given by option b.

You might be interested in
Please help im really confused :(​
pantera1 [17]

Answer:

a) π

b) 33.4

Step-by-step explanation:

C = πd

1) substitute 105 for C: 105 = πd

2) plug in approximate value of 3.14 for π: 105 = (3.14) d

3) isolate to solve for d: 105/3.14 = d

4) simplify: 105/3.14 ≈ 33.4

5 0
3 years ago
What is the slope of the line passing through (1, 2) and (3, 8)? A: slope = 1/7 B: slope = 1/3 C: slope = 3 D: slope = 7
Aliun [14]
Slope = (y2-y1)/(x2-x1) = (8-2)/(3-1) = 6/2 = 3. So the answer is c.
5 0
3 years ago
Read 2 more answers
What is 1 2/5 × 2<br>what is 1/4 × 1​
Mrrafil [7]

Answer:

1).  2\frac{4}{5}

2).  \frac{1}{4}

Step-by-step explanation:

1). 1\frac{2}{5}*2

Convert mixed number to improper fraction: a\frac{b}{c} =\frac{a*c+b}{c}

1\frac{x2}{5} =\frac{1*5+2}{5} =\frac{7}{5}

\frac{7}{5} *2

\frac{7}{5} *2

Apply the fraction rule: \frac{a}{b}*c =\frac{a*c}{b}

\frac{7}{5} *2=\frac{7*2}{5}

=\frac{7*2}{5}

Multiply the numbers: 7*2=14

=\frac{14}{5}

Convert improper fractions to mixed numbers: \frac{14}{5}

\frac{14}{5}

Write the problem in long division format:

\begin{matrix}5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Divide 14 by 5 to get 2

\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Multiply the quotient digit (2) by the divisor 5

\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Subtract 10 from 14

\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

The solution for long division of \frac{14}{5} is 2 with a remainder of 4

2\quad \mathrm{Remainder}\quad \:4

Convert to mixed number: Quotient\frac{Remainder}{Divisor}

\frac{14}{5} =2\frac{4}{5}

=2\frac{4}{5}

2\frac{4}{5}

Convert \frac{4}{5} to decimal using long division

\frac{4}{5}

Divide 4 by 5 to get 0

\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Multiply the quotient digit (0) by the divisor 5

\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Subtract 0 from 4

\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Add a decimal place and a zero to the dividend

Bring down the zero from the dividend

\begin{matrix}\space\space\space\space\emptyspace0.\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4.0}\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace4\emptyspace0\space\space\space\space\space\space\space\space\space\space\end{matrix}

Divide 40 by 5 to get 8

\frac{40}{5} =8

The solution for long division of \frac{4}{5} is 0.8

=2+0.8

Add 2+0.8=2.8

2). \frac{1}{4} *1

Multiply \frac{1}{4} *1=\frac{1}{4}

=\frac{1}{4}

Anything multiplied by 1 is the same number.

Divide the the numbers \frac{1}{4} to get decimal form

Divide 1 by 4

\frac{1}{4} =0.25

=0.25

8 0
3 years ago
Read 2 more answers
4x-3=2x+7<br><br> plz help on this question
SSSSS [86.1K]

Answer:

4x-3=2x+7

4x-2x=7+3

2x=10

10/2x=5

therefore x=5

....hope this helps

4 0
3 years ago
Read 2 more answers
How many five digit zip codes are possible if digits cannot be repeated?
Drupady [299]

1st digit - 0-9 = 10 numbers

2nd digit = 9 numbers

3rd digit = 8 numbers

4th digit = 7 numbers

5th digit = 6 numbers


10 * 9 * 8 * 7 * 6 = 30,240 zip codes

5 0
3 years ago
Other questions:
  • Pls help me I’m stuck
    11·2 answers
  • Graph the following inequality on the number line above. 3x &lt; 12
    9·1 answer
  • Helppppppppppppppppppppppppppppp what is 8/0
    12·2 answers
  • Si asamos 2800 g de carne, solo obtendremos 1960 g de carne ya cocinada. ¿Qué porcentaje de carne se pierde durante la cocción
    10·1 answer
  • Juan reads a book with 368 pages. savannah reads a book with 172 fewer pages than juan's book. how many pages are in the book sa
    12·2 answers
  • The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable
    14·1 answer
  • The probability that the Cubs win their first game is 1/3. The probability that the Cubs win their second game is 3/7. What is t
    10·2 answers
  • Please help i'll give brainliest
    6·2 answers
  • Find the slope of the line segment that contains the two points (-18,-20) and (-18,-15)
    5·1 answer
  • So im learning fractions and i need help, what is equal to 12/10 btw this is math.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!