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
rewona [7]
3 years ago
14

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year

s. A random sample of 45 cars had an average age of 10.6 years. It is believed that the population standard deviation for the age of cars is 4.1 years. The Department of Transportation would like to set α = 0.05. The conclusion for this hypothesis test would be that because the test statistic is ______________________________________.
Mathematics
1 answer:
puteri [66]3 years ago
8 0

Answer:

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

Step-by-step explanation:

information given

\bar X=10.6 represent the sample mean  

\sigma=4.1 represent the population standard deviation

n=45 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value for the test

Hypothesis to test

We want to test if the true mean is less than 12, the system of hypothesis would be:  

Null hypothesis:\mu \geq 10  

Alternative hypothesis:\mu < 10  

The statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing the info given we got:

We can replace in formula (1) the info given like this:  

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

You might be interested in
Michelle can fold 4 baskets of clothes in 54 minutes, while Ruby can fold 4 baskets of clothes in 108 minutes. How long will it
padilas [110]
Michelle can fold 4/54 baskets per minute = 8/108 baskets per minute.
Ruby can fold 4/108 baskets per minute.

Each minute Michelle and Ruby work together, they can fold
   8/108 +4/108 = 12/108 = 1/9
of a basket of clothes. For 8 baskets of clothes, it will take them
   (8 baskets)/(1/9 baskets/minute) = 72 minutes
3 0
3 years ago
For which inequality would x = 8 not be a solution?
Naya [18.7K]

Put the value of x to the inequality:

4x+3 > 0\\L=4(8)+3=32+3=35;\qquad R=0;\qquad L > R\ CORRECT\\\\9x-5 < 100\\L=5(8)-5=40-5=35;\qquad R=100;\qquad 35 < 100\ CORRECT\\\\x+4\leq10\\L=8+4=12;\qquad R=10;\qquad 12 > 10\ INCORECT (\leq)\\\\72\div x\geq4\\L=72\div 8=9;\qquad R=4;\qquad 9\geq4\ CORRECT

3 0
3 years ago
Turn 54.1256 into a fraction
mel-nik [20]
I get 433 divided by 8 .... 433/8

3 0
2 years ago
Read 2 more answers
Which equation represents the hyperbola in general form?
valina [46]

ANSWER

D.

9 {y}^{2}  - 4 {x}^{2}- 36y + 16x - 16 = 0

EXPLANATION

The standard equation of the hyperbola is

\frac{ {(y - 2)}^{2} }{4}  -  \frac{ {(x - 2)}^{2} }{9}  = 1

We multiply through by 36 to obtain:

9 {(y - 2)}^{2}  - 4( {x - 2)}^{2}  = 36

We now expand to get,

9( {y}^{2}  - 4y + 4) - 4( {x}^{2}  - 4x + 4) = 36

Expand :

9 {y}^{2}  - 36y + 36  - 4 {x}^{2}  + 16x - 16 = 36

To get the general form, we equate everything to zero to get,

9 {y}^{2}  - 4 {x}^{2}- 36y + 16x - 16 = 0

The correct choice is D.

7 0
3 years ago
Work out -8 - 8 I don’t understand this question help
shepuryov [24]
-8 -8 = -16
You add -8 to -8
7 0
3 years ago
Read 2 more answers
Other questions:
  • The rule is applied to ΔFGH to produce ΔF"G"H".
    9·1 answer
  • Need help plz thanks I need help with the other probs I posted under the name YasElm
    7·2 answers
  • Please help with number 1
    13·1 answer
  • 1. Chicken stock cost $6.80 per gallon.
    8·2 answers
  • There are 3636 chocolates in a​ box, all identically shaped. There 1212 are filled with​ nuts, 99 with​ caramel, and 1515 are so
    11·1 answer
  • There were nine red roses and four white roses in the vase. Melanie cut some more roses from her flower garden. There are now si
    10·1 answer
  • 9372282 rounded to the nearest 100
    13·2 answers
  • Find the inverse of the function. f(x) = 7x + 8
    14·1 answer
  • Lorraine threw a football 9.89 meters. Belinda threw the football 12.20 meters. How many meters farther did Belinda throw the fo
    7·1 answer
  • Please someone help
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!