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Mnenie [13.5K]
3 years ago
8

An inventor has developed a new, energy-efficient lawn mower engine. He claims that the engine will run continuously for 5 hours

(300 minutes) on a single gallon of regular gasoline. Suppose a simple random sample of 45 engines is tested. The engines run for an average of 290 minutes, assume the population standard deviation is 20 minutes. Test the null hypothesis that the mean run time is at least 300 minutes. Use a left sided test. Use a 0.025 level of significance.
a) Find the critical value for this test.

b) Find the test statistic
c) Find the p-value for this test.

d) My conclusion is :

e) Is the test statistically significant?

f) Could I use a symmetric confidence interval to solve this problem and if so what is it?
Mathematics
1 answer:
frez [133]3 years ago
5 0

Answer:

b,c

Step-by-step explanation:

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List two pairs of fractions with a product of 6/40
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Answer:

The product of two fractions can be calculated as follows:

\frac{a}{b}\cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}

So, the numerator is the product of the numerators of the two fractions, and the denominator is the product of the denominators of the two fractions.

In this problem, we know that the product is 6/40, so:

ac = 6\\bd = 40

This means:

c=\frac{6}{a}\\d=\frac{40}{b}

So we just need to find 2 pairs of numbers a, b to make c and d integers.

The first choice we use is:

a = 3

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So we get:

c=\frac{6}{3}=2\\d=\frac{40}{2}=20

So the first pair of fractions is

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The second choice we use is:

a = 2

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So we get:

c=\frac{6}{2}=3\\d=\frac{40}{10}=4

So the second pair of fractions is

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The average median income for a dentist is $142,740. The average median income for a medical and health service manager is $86,4
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A: For the Dentist, their average income in 30 years is $4,282,200

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If x varies directly as y, and y=6 when x=27, find x when y=2
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Answer:

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Step-by-step explanation:

Given y varies directly as y then the equation relating them is

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