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dsp73
3 years ago
13

An auto maker estimates that the mean gas mileage of its sports utility vehicle is at least 20 miles per gallon. A random sample

of 36 such vehicles had a mean of 18 miles per gallon and a standard deviation of 5 miles per gallon. At α = .01 can you reject the auto maker's claim?
Mathematics
1 answer:
Nady [450]3 years ago
7 0

Answer:

Yes, we reject the auto maker's claim.

Step-by-step explanation:

H0 : μ ≥ 20

H1 : μ < 20

Sample mean, xbar = 18 ;

Sample size, n = 36

Standard deviation, s = 5

At α = 0.01

The test statistic :

(xbar - μ) ÷ s /sqrt(n)

(18 - 20) ÷ 5/sqrt(36)

-2 /0.8333333

= - 2.4

Pvalue from test statistic : Pvalue = 0.00819

Pvalue < α

0.00819 < 0.01

Hence, we reject the Null

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Need some help please!!​
ella [17]

Answer:

The other point on the diameter which is also on the circle is; (-3, 2)

Step-by-step explanation:

The center of the circle, also a point where the diameter crosses, is (3, 6)

The diameter touches the circle at point (9, 10)

The displacement is (9 - 3, 10 - 6) = (6, 4)

This means that we move, +6 units along the x-axis and +4 units along the y-axis , from the center of the circle in order to reach point (9, 10)

If we want to reach the other point on the diameter which also on the circle, we move -6 units along the x-axis and -4 units along the y-axis to get;

(3, 6) - (6, 4) = (-3, 2)

6 0
3 years ago
10) An object is moving at a speed of 8 miles
liq [111]

Answer:

1. 5,400 inches to miles. 5400 in 4. Copage. 12 in. 2. 16 weeks to seconds ... 9. 32 ft/sec to meters/min. 324. 2 in 12.54cm bor mm / 585,22 m/min.) 10. You find ... Directions: Use dimensional analysis to convert each rate. ... Round your answer to the nearest hundredth. 1. ... What is the cyclist's speed in feet per minute?

8 0
3 years ago
Read 2 more answers
Angle K in △MKL is a right angle.
wel
  1. Hypotenuse= ML
  2. Perpendicular=KL=15
  3. Base= KM=8

By using Pythagoras theorem.

  • h²=p²+b²
  • ML²=15²+8²
  • ML²=225+64
  • ML=√289

Therefore ML= 17...

Step-by-step explanation:

Hope it helps....Mark me brilliant

4 0
2 years ago
Elizabeth ran 2.7 kilometers in the morning and 2.52 kilometers after lunch. Adrian ran 3.064 kilometers at night. How much fart
Ludmilka [50]

Answer:

2.7+2.52=5.22-3.064

=2.16km

3 0
3 years ago
Y=52(0.42)^x identify if it's growth or decay and determine the percentage rate of increase or decrease
Shkiper50 [21]

Answer:

58%

Step-by-step explanation:

Given the exponential relation :

Y=52(0.42)^x

Since 0.42 is less than 1, then we can infer that the expression is a Decay function ;

. General form of a exponential function :

y = A(1 - r)^x ; r = Decay rate

Comparing the general equation with the equation given ;

The percentage rate of decrease is obtained thus :

1 - r = 0.42

1 - 0.42 = r

r = 0.58

Rate = 0.58 * 100%

Rate = 58%

4 0
3 years ago
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