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
SVEN [57.7K]
2 years ago
8

A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life

of just 5 hours. The manufacturer claims that while the new touch screen phone is more expensive, its battery life is more than twice as long as that of the leading product. In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.a. Select the relevant null and the alternative hypotheses. b-1. Calculate the value of the test statistic.b-2. Find the p-value.
Mathematics
1 answer:
alisha [4.7K]2 years ago
5 0

Answer:

a)

The null hypothesis is H_0: \mu \leq 10

The alternative hypothesis is H_1: \mu > 10

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

H_0: \mu \leq 10

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

H_1: \mu > 10

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

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 and n is the size of the sample.

10 is tested at the null hypothesis:

This means that \mu = 10

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that n = 45, X = 10.5, s = 1.8

Then

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

t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}

t = 1.86

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

You might be interested in
1){(-8,-10), (-2,0), (1,10), (4,0)}<br> Domain=<br> Range-<br> Function?
adoni [48]

Answer:

domain(-8. -2. 1 4

range( -10 0 10 0

and the the given exp is function

8 0
3 years ago
What is the measure of
nadezda [96]

Answer:

It's 15°

Step-by-step explanation:

BC+60°+85°+200° =360°

BC+345°=360°

BC=360°-345°

Bc=15°

5 0
3 years ago
What’s a line equation passing through (14,-8) and (24,-3)
Nataly_w [17]

\bf (\stackrel{x_1}{14}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{24}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{24}-\underset{x_1}{14}}}\implies \cfrac{-3+8}{10}\implies \cfrac{5}{10}\implies \cfrac{1}{2}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{14}) \\\\\\ y+8=\cfrac{1}{2}x-7\implies y=\cfrac{1}{2}x-15

4 0
3 years ago
Which point on the number line represents the product of 4 and -2
liraira [26]

Answer:

-8    :)

Step-by-step explanation:

7 0
3 years ago
First, drag a value to represent the missing angle in the triangle. Then, complete the trigonometry equality statements.
noname [10]

The missing trigonometric values are listed below:

  • Angle A = 90 - θ
  • sin 28°  =  cos (62°)
  • Cos 33°  =  sin 57°
  • Cos 31°  =  sin 59°
  • Cos (90 - θ) = sin(θ)

<h3>Meaning of Trigonometry</h3>

Trigonometry is a branch of mathematics that studies angles of triangles and its side length.

Trigonometry is so important that every student must come across this branch of mathematics.

In conclusion, the missing trigonometric values are listed above

Learn more about trigonometry: brainly.com/question/24349828

#SPJ1

6 0
2 years ago
Other questions:
  • The graph below shows the function f(x)=5x+10/x^2+7x+10 Where is the removable discontinuity of f(x) located?
    8·2 answers
  • Which of the following is tge first four terms of the sequence a n=3n+5?
    15·1 answer
  • 5 divided by twice the value of x
    13·1 answer
  • (36 - 4)(6+2)<br> Standard form
    9·1 answer
  • I REALLY NEED HELP WITH THIS PROBLEM
    7·1 answer
  • PLZ HELP!!! 50 POINTS I NEED AN ANSWER IN THE NEXT 15 MINUTES!!! I WILL MARK BRAINLIEST!
    5·1 answer
  • Solve the equation for x. 2x-3+2y^2=41
    15·2 answers
  • Based on the graph below, f(x) and g(x) where g(x) =f(x)+h are shown
    14·1 answer
  • Becky received a statement on her Certificate of Deposit showing that her investment had returned $6,336 over its life. If the C
    10·1 answer
  • 3/10 - 1/5=<br><br><br> Find the missing fraction.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!