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
Marizza181 [45]
3 years ago
10

When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps andfound that 1304 of them were not pumpi

ng accurately (within 3.3 oz when 5 gal ispumped),and 5689 pumps were accurate. Use a 0.01 significance level to test the claimof an industryrepresentative that less than 20% of the pumps are inaccurate.
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

Answer:

The p-value of the test statistic from the standard normal table is 0.0017 which is less than the level of significance therefore, the null hypothesis would be rejected and it can be concluded that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.

Step-by-step explanation:

Here, 1304 gas pumps were not pumping accurately and 5689 pumps were accurate.

x = 1304, n = 1304 + 5689 = 6993

The level of significance = 0.01

The sample proportion of pump which is not pumping accurately can be calculated as,

The claim is that the industry representative less than 20% of the pumps are inaccurate.

The hypothesis can be constructed as:

H0: p = 0.20

H1: p < 0.20

The one-sample proportion Z test will be used.

The test statistic value can be obtained as:

Z=\frac{\hat{p}-P}{\sqrt{\frac{P(1-P))}{n}}}\\\\Z=\frac{0.186-0.20}{6993}\\\\Z=-2.927

You might be interested in
63 students choose to attend one of three after school activities: football, tennis or running.
sdas [7]

Answer:

the probability of the student chose running is 26 ÷ 63

Step-by-step explanation:

The computation of the probability of the student chose running is shown below:

= (Total students - football selected - tennis selected) ÷ (Total students)

= (63 - 20 - 17) ÷ 63

= 26 ÷ 63

Hence, the probability of the student chose running is 26 ÷ 63

7 0
2 years ago
In the Roman republic senators implemented the majority of laws or oligarchs were voted in the control legal system legislation
AlexFokin [52]

Answer:

The correct answer for this question is this one: "oligarchs were voted in and controlled the legal system" In the Roman republic oligarchs were voted in and controlled the legal system. Hope this helps answer your question and have a nice day ahead.

6 0
3 years ago
Nina operates a dog walking service. She charges a flat fee of $15 plus $5 per hour. Which equation represents this linear relat
densk [106]

Equation for linear relationship is y=mx+b, where m is slope (rate of change), and b is y-intercept. Y-intercept is where you start of at. Like if I had 20 dollars and started earning 5 dollars each day, my y-intercept would be 20 dollars.

Your rate of change is $5 dollars PER HOUR, and y-intercept is $15 dollars. this is because it is a flat fee. She could walkyour dog for 5 minutes but she still charges 15 dollars.

y=5x+15

5 0
3 years ago
A researcher was interested in comparing the resting heart rate of people who exercise regularly and people who do not exercise
alekssr [168]

Answer:

t=\frac{(73.5-69.3)-0}{\sqrt{\frac{10.2^2}{16}+\frac{8.7^2}{12}}}}=1.173  

Using the critical value method we need to find a critical value in the t distribution who accumulates 0.025 of the area on the right and we got:

t_{cric}= 2.06

So then since our calculated value is lower then the critical value we fail to reject the null hypothesis and we can't conclude that the true mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly.

Step-by-step explanation:

Information given

\bar X_{1}=73.5 represent the mean for sample of people who do not exercise

\bar X_{2}=69.3 represent the mean for sample of people who do exercise

s_{1}=10.2 represent the sample standard deviation for 1  

s_{2}=8.7 represent the sample standard deviation for 2  

n_{1}=16 sample size for the group 1

n_{2}=12 sample size for the group 2

\alpha=0.01 Significance level

t would represent the statistic

System of hypothesis

We want to verify if the mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2} \leq 0  

Alternative hypothesis:\mu_{1} - \mu_{2}> 0  

The statistic for this case would be given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)  

The degrees of freedom are given by:

df=n_1 +n_2 -2=16+12-2=26  

Replacing the info given we got:

t=\frac{(73.5-69.3)-0}{\sqrt{\frac{10.2^2}{16}+\frac{8.7^2}{12}}}}=1.173  

Using the critical value method we need to find a critical value in the t distribution who accumulates 0.025 of the area on the right and we got:

t_{cric}= 2.06

So then since our calculated value is lower then the critical value we fail to reject the null hypothesis and we can't conclude that the true mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly.

6 0
3 years ago
I need assistance with "What does the area of the rectangle depend on", the graph section, and the relationship section.
DanielleElmas [232]

The area equation here is:

A=2w^2

That means that the area depends on the width measurement of the rectangle.

To graph a quadratic function you have to see if the parabole is positive and the transformations, in this case, are positive and have a multiplication by two, which means that the graphics in x=1 and x=-1 will be y=2

Finally, you can conclude that there, you have a relationship between the area and the width of the rectangle because is a quadratic relationship and the area will increase in a quadratic form according to the increase of the width.

7 0
1 year ago
Other questions:
  • Tanya has a triangular garden bed in her back yard. the measure of the largest angle is 30° less than twice the measure of the s
    7·1 answer
  • Simplify the expression (11 – 6)2 + 6 × 2 – (3 + 3)2.
    5·2 answers
  • How to solve this please
    10·1 answer
  • a car rental company charges a rental free of $20 per day in addition to a charge of $0.30 per mile driven . how much does it co
    10·1 answer
  • -2/5 + 1/2 please help guys I really need it
    13·1 answer
  • Help me. Jsjsbeisbehebeeueebejebeheheheeheh
    13·1 answer
  • Which expression uses the associative property to make it easier to evaluate
    5·1 answer
  • A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 46 miles a
    12·1 answer
  • 506 students went on a field trip nine buses were filled and 29 students traveled in cars how many students were in each bus
    9·2 answers
  • Find the equation of the line.<br> Use exact numbers.<br> y =_x+7
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!