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
bezimeni [28]
3 years ago
12

Suppose that an automobile manufacturer advertises that its new hybrid car has a mean gas mileage of 50 miles per gallon. You ta

ke a simple random sample of n = 30 hybrid vehicles and test their gas mileage. You find that in this sample, the average is 47 miles per gallon with a standard deviation of 5.5 miles per gallon. Is there enough evidence to support the advertised claim using α = 0.05? What is the null and alternative hypothesis for this problem?
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that,

H0 : µ = 50

Ha : µ ≠ 50

α = 0.05

x¯ = 47

s = 5.5

To find the score, we will use the formula below,

z =(x¯ − µ)/s/√n

z =47 − 50/5.5/√30

z = −3.0/1.0042

z = -2.988

z ≈ -3

The cumulative area for this z-score is 0.0013.

This is a two-tailed test:

P = 2(0.0013) = 0.0026.

Since P = 0.0026 < 0.05 = α, we make the decision to reject the null hypothesis.

This means that there is not enough statistical evidence to support the advertiser’s claim of an average of 50 miles per gallon.

Also,

The critical value for a two tailed test is zc = 1.96

Since it is observed that

|z| = |-3| = 3> 1.96 = zc

It is then concluded that the null hypothesis is rejected.

Confidence interval

Xˉ ± zc • σ/√n

47 ± 1.96 ×5.5/√30

47 ± 1.96

(45.032, 48.968) gallons

​

You might be interested in
Complete the table with values for x or y that make this equation true: 3x+y=15
Ipatiy [6.2K]

Answer:

x=5

y=0

or

x=1

y=12

Step-by-step explanation:

I guess you can make it up as long as it equals 15, I guess that's what the question is saying??

7 0
2 years ago
4. Tristan has a total of 30 dimes &amp; nickels. The total value
adelina 88 [10]

Answer:

x/2 + x = 30 -> $2.50

20/2 + 20 = 30

X = 20, therefore:

dimes = 20

nickels = 10

4 0
2 years ago
Read 2 more answers
Need help I got 23,294 as the answer but it’s not an option please explain how you got the answer.
OLEGan [10]

Answer:

A

Step-by-step explanation:

Calculation seems correct to me, with d the distance and h the height of the plane, and i got the same value. Closest value is A tho, so i'd stick with it.

If you want to be pedantic about it, you can always divide the heigth by each value, and get the inverse tangent of each value. With A you get 17.995 which seems the best value you get

8 0
2 years ago
T is the midpoint of SU. Find ST, TU and SU. <br><br><br> 10x-14 5x+16<br><br>S———T———U
jeka94

since T is the midpoint of SU, then ST = TU.

\bf \stackrel{10x-14}{\boxed{S}\rule[0.35em]{10em}{0.25pt}} T\stackrel{5x+16}{\rule[0.35em]{10em}{0.25pt}\boxed{U}} \\\\\\ \stackrel{ST}{10x-14}=\stackrel{TU}{5x+16}\implies 5x-14=16\implies 5x=30\implies x=\cfrac{30}{5}\implies x=6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ST}{10(6)-14\implies 46}~\hfill \stackrel{TU}{TU=ST=46}~\hfill \stackrel{SU}{ST+TU=92}

6 0
3 years ago
Please help!!!
trasher [3.6K]

When an answer to a question uses the greater than symbol, that means any number above the number used is a possible answer to the equation. However, when it's just a simple "x = 2", then 2 is the only possible answer to that equation. Think about it as if it were on a graph. In the attached file I have a graph that is displaying the equation "x > 4". The entire shaded area to the right of 4 could be a possible answer.

Hope this helps.

6 0
2 years ago
Other questions:
  • Relations are ___ functions <br><br> Always<br><br> Sometimes <br><br> Never
    14·1 answer
  • What is the s plop of the line passes through the points (-2,15) and (-8,-5) show your work,
    14·1 answer
  • Which of the fallowing is a factor? EXPLAIN:
    9·1 answer
  • Name the possible rational roots for the function using the Rational Root Theorem.​
    8·1 answer
  • 5(15-7y/3)+2y=-4<br>solve for y and plz show steps​
    15·2 answers
  • A comedy club in New York City spent $4,250 to produce their first major show of the season. Tickets for the show will sell at $
    7·1 answer
  • Ronald wanted an allowance. his father gave him a choice of getting it on a weekly or on a daily basis. He said he would either
    14·2 answers
  • From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
    14·1 answer
  • Raya buys a van for £9500 plus VAT at 20%
    13·1 answer
  • Aisha wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 76
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!