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
Hunter-Best [27]
1 year ago
9

A coin-operated drink machine was designed to discharge a mean of 7 ounces of coffee per cup. In a test of the machine, the disc

harge amounts in 18 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.04 ounces and 0.17 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.1 level of significance, to conclude that the true mean discharge,u, differs from ounces? Perform a two-tailed test. Then fill in the table below. I need the two critical values at the 0.1 level of significace. Also need the answers to al other questions and whether we accpe for reject.
Mathematics
1 answer:
natima [27]1 year ago
7 0

Using the t-distribution, it is found that since the test statistic is between -1.7341 and 1.7341, we do not reject(accept) the null hypothesis, hence there is not enough evidence to conclude that the true mean discharge differs from 7 ounces.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is of 7 ounces, that is:

H_0: \mu = 7

At the alternative hypothesis, it is tested if the mean is different of 7 ounces, that is:

H_1: \mu \neq 7

<h3>What is the test statistic?</h3>

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

The values of the parameters are given by:

\overline{x} = 7.04, \mu = 7, s = 0.17, n = 18

Hence the value of the test statistic is found as follows:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{7.04 - 7}{\frac{0.17}{\sqrt{18}}}

t = 1

<h3>What is the decision?</h3>

Considering a two-tailed test, as we are testing if the mean is different of a value, with 18 - 1 = 17 df and a significance level of 0.1, the critical value is of t^{\ast} = 1.7341

Since the test statistic is between -1.7341 and 1.7341, we do not reject(accept) the null hypothesis, hence there is not enough evidence to conclude that the true mean discharge differs from 7 ounces.

More can be learned about the t-distribution at brainly.com/question/13873630

#SPJ1

You might be interested in
PLEASE HELP THANK YOU IN ADVANCE NEED TO SUBMIT SOON!! PLEASE PLEASE PLEASE HELP
Serjik [45]
Provate school in 2005
f(t)=85+18t

public school
g(t)=95+15t

graph
easy
replace g(t) and f(t) with y
y=18t+85
y=15t+95
input values for t and get values for y

y=18t+85
when t=0 y=85
when t=1 y=103
plot the oints (0,85) and (1,103)

y=15t+95
if t=0 then y=95
if t=1 then y=110
plot the points (0,95) and (1,110)

the easier way would just to be to solve the equatons but anyway
interscection point is (3 and 1/3,145)

so after 3 years (2008) it is about 145
6 0
3 years ago
2
FrozenT [24]

Answer:

5) option c

6) option d

7) option d

8) option b

7 0
3 years ago
Sarah had 28 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. Th
Ann [662]

Answer:

32

Step-by-step explanation:

If she started with 28, ad had 50 after she picked, you wold subtract 28 from 50 to find your answer.

4 0
2 years ago
Which of the following describes a situation in which the total distance a ball travels is zero meters from its starting point?
vaieri [72.5K]

Answer:

The ball first bounces up to a height of 2 meters, and then falls 2 meters towards the ground

Step-by-step explanation:

6 0
2 years ago
Please help me I am so confused it would mean a lot.
Alisiya [41]

Step-by-step explanation:

1. The midpoint formula says the coordinates of the midpoint are the average of the endpoints.

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

I'll do #2 and #3 as examples.

2. x = (-4 + 10) / 2 = 3

y = (6 + -10) / 2 = -2

So the midpoint is (3, -2).

3. x = (-3 + -6.5) / 2 = -4.75

y = (-8 + -4.5) / 2 = -6.25

So the midpoint is (-4.75, -6.25).

5 0
3 years ago
Other questions:
  • You are charged 6% sales tax. You purchase a new bicycle and pay $27 in sales tax. What is the purchase price of the bicycle?
    11·1 answer
  • Which expression represents the sum of (2x - 5y) and (x + y)?
    12·1 answer
  • Two parallel lines are crossed by a transversal.
    11·2 answers
  • What name is given to a distribution that has 2 peaks of the same height?
    13·1 answer
  • In an all boys school, the heights of the student body are normally distributed with a
    7·1 answer
  • Student claims that he can solve 12 X plus 8Y equals 40 and 4X plus 5Y equals 18 for axing why by adding the first equation into
    7·1 answer
  • To find the value of a mathematical expression using the order of operations is to <br> .
    7·2 answers
  • Help pls i need help asap 15 points​
    12·1 answer
  • {red,blue,yellow} find all of the subsets
    15·1 answer
  • 9. In the figure below, Angle 1 is congruent to Angle 2.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!