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abruzzese [7]
3 years ago
11

Laura can drive her car 260 miles on 10 gallons of gasoline. Michael can drive his car 280 miles on

Mathematics
1 answer:
Marianna [84]3 years ago
4 0
Michael

Michel Can travel 70 mile on one gallon which is 1400 miles on 20 gallons

Laura can only travel 26 miles on one gallon which is 520 miles on 20 gallons
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Hypothesis Testing for Means with Small Samples
Scorpion4ik [409]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: volume of root beer in a Windsor Bottling Company can.

A sample of n=24 cans was taken and their contents measured, resulting:

X[bar]= 11.4 oz

S= 0.62 oz

Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)

The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12

The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.

If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:

H₀: μ = 12

H₁: μ ≠ 12

α: 0.05

To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}

t_{H_0}= \frac{11.4-12}{\frac{0.62}{\sqrt{24} } } = -4.74

This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.

t_{n-1;\alpha /2}= t_{23;0.025}= -2.069

t_{n-1;1-\alpha /2}= t_{23;0.975}= 2.069

The decision rule is:

If t_{H_0} ≤ -2.069 or if t_{H_0} ≥ 2.069, then you reject the null hypothesis.

If -2.069 < t_{H_0} < 2.069, then you do not reject the null hypothesis.

The value is less than the left critical value, the decision is to reject the null hypothesis.

Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.

I hope it helps!

6 0
3 years ago
Explain how you can find the constant of proportionality from a graph representing a proportional relationship when it shows a p
Vladimir [108]

tienees que fijartelos extrreemos

8 0
3 years ago
Solve for x.<br> X + 142<br> 135°
Lyrx [107]

Answer:

X=-7

Step-by-step explanation:

X + 142=135°

X=135-142

X=-7

So the value of X is -7

4 0
2 years ago
Units of Length
grin007 [14]

the answer is:

78.7 (i rounded it to the nearest tenth)

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3 years ago
Captain Tiffany has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Omar and his merciless band of thiev
gavmur [86]

Answer:

1/7

Step-by-step explanation:

The probability that the Captain hits is \dfrac{1}{2}

2

1

​

start fraction, 1, divided by, 2, end fraction.

The probability that the pirate hits is \dfrac{2}{7}

7

2

​

start fraction, 2, divided by, 7, end fraction.

1/2 x 2/7 = 1/7

6 0
3 years ago
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