answer.
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
Nana76
2 months ago
3

A company that manufactures laptop batteries claims the mean battery life is 16 hours. Assuming the distribution of battery life

is approximately normal, a consumer group will conduct a hypothesis test to investigate whether the battery life is less than 16 hours. The group selected a random sample of 14 of the batteries and found an average life of 15.6 hours with a standard deviation of 0.8 hour.
Which of the following is the correct test statistic for the hypothesis test?

A. t=15.6−160.8
B. t=16−15.60.8
C. t=15.6−160.813
D. t=15.6−160.814
E. t=16−15.60.814
Mathematics
1 answer:
Svet_ta [12.7K]2 months ago
3 0

Answer:

The appropriate test statistic for the hypothesis test is t = -1.87

Step-by-step explanation:

The null hypothesis is:

H_{0} = 16

The alternative hypothesis is:

H_{1} < 16

The test statistic is:

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

In this equation, X signifies the sample mean, \mu denotes the value under the null hypothesis, s is the standard deviation of the sample, and n represents the sample size.

In this scenario:

X = 15.6, \mu = 16, s = 0.8, n = 14

Thus

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

t = \frac{15.6 - 16}{\frac{0.8}{\sqrt{14}}}

t = -1.87

The correct test statistic for the hypothesis test is t = -1.87

You might be interested in
What integer is equivalent to 25 3/2
PIT_PIT [12445]
<span><span>Response
26 1/2 does not correspond to an integer but can be rounded to 27, which is an integer.

Clarification
An integer comprises whole numbers only. It does not include fractions.
253/2=25+3/2=25+1 1/2=26 1/2
</span><span>26 1/2 does not correspond to an integer but can be rounded to 27, which is an integer.
</span></span>
3 0
1 month ago
Read 2 more answers
The coordinates of the vertices of the triangle are (–8, 8), (–8, –4), and . Consider QR the base of the triangle. The measure o
PIT_PIT [12445]
The triangle's vertex coordinates are (–8, 8), (–8, –4), and (10, –4). QR serves as the base of this triangle, measuring b = 18 units, with a height of h = 12 units. The area of triangle PQR is 108 square units.
4 0
1 month ago
Read 2 more answers
Katherine has 32 pop songs and 72 rock songs on her mp3 player that she will be organizing into playlists. She wants to put an e
babunello [11817]

Answer:

Katherine will create at least 8 playlists. Each of these will feature 4 pop songs and 9 rock songs.

Detailed Explanation:

Katherine has a library of 32 pop songs and 72 rock songs on her mp3 player. She intends to distribute these into playlists, ensuring an equal count of pop and rock songs in each.

To determine the minimum number of playlists, we find the GCF of the two numbers provided.

For 32, we can express it as 2^5, and 72 can be described as 2^3*3^2

Thus, the GCF for the two figures is 2^3, equaling 8.

Consequently, she will generate 8 playlists, with each containing 4 pop songs and 9 rock songs.

6 0
1 month ago
A snack stand sold hot dogs and chips at a recent game. The hot dogs cost $2.50 and the snacks cost $0.75. After the game, they
lawyer [12517]

Let x represent the hot dogs

and y represent the snacks

The equation x + y = 175

Rewrite x as 175 - y

And the second equation: 2.50x + 0.75y = 262.50

Substitute to get 2.50(175 - y) + 0.75y = 262.50

Which simplifies to 437.50 - 2.50y + 0.75y = 262.50

Rearranging gives -1.75y = -175

Hence, solving for y results in y = -175 / -1.75 = 100


Thus, 100 snacks and 75 hot dogs were sold

7 0
27 days ago
Read 2 more answers
If hair grows at a rate of approximately 0.44 mm per day, how many
lawyer [12517]

Answer:

91

Step-by-step explanation:

40/.44

8 0
2 months ago
Read 2 more answers
Other questions:
  • Una avenida está siendo asfaltada por etapas. En la primera etapa se asfaltó la mitad; en la segunda, la quinta parte, y en la t
    12·1 answer
  • Write 87 tens and 2 ones as a base ten number
    11·1 answer
  • John runs 500 feet per minute. identify the correct conversion factor setup required to compute john's speed in inches per secon
    12·2 answers
  • A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. if it goes 12
    9·2 answers
  • The heights of 200 adults were recorded and divided into two categories.
    9·2 answers
  • Which situation most directly illustrates a possible outcome of a fiscal policy?
    15·1 answer
  • A manager associated each employee's name with a number on one ball in a container, then drew balls without looking to select a
    12·2 answers
  • Mrs. Allan's car uses 8 gallons of gas for a 224-mile trip. Mrs. Owen's car uses 6 gallons of gas for a 210-mile trip. How many
    11·1 answer
  • Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be equal to 45°. greater than 45°
    10·2 answers
  • In the figure, m dbe=50. find each of the following. Please show steps<br> 8.m bed <br> 9.m bea
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!