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elixir [45]
3 years ago
5

The owners of an industrial plant want to determine which of two types of fuel (gas or electricity) will produce more useful ene

rgy at a lower cost. The cost is measured by plant investment per delivered quad ($ invested /quadrillion BTUs). The smaller this number, the less the industrial plant pays for delivered energy. Suppose we wish to determine if there is a difference in the average investment/quad between using electricity and using gas. Our null and alternative hypotheses would be:
a. H0: (?e - ?g) = 0 vs. Ha: (?e - ?g) = 0
b. H0: (?e - ?g) = 0 vs. Ha: (?e - ?g) <0
c. H0: (?e - ?g) = 0 vs. Ha: (?e - ?g) > 0
d. H0: (?e - ?g) = 0 vs. Ha: (?e - ?g) ?0
Mathematics
1 answer:
madreJ [45]3 years ago
7 0

Answer:

d. H0: (\mu_e - \mu_g) = 0 vs. Ha: (\mu_e - \mu_g) \neq 0

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".  

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".  

On this case the Management try to determine if there is a difference in the average investment/quad between using electricity and using gas. So this needs to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.  

Null hypothesis :\mu_e = \mu_g

Alternative hypothesis: \mu_e \neq \mu_g

Or equivalently:

Null hypothesis :\mu_e - \mu_g = 0

Alternative hypothesis: \mu_e - \mu_g \neq 0

Other important thing is that on the alternative hypothesis we never can have the symbol equal.  

So on this case the best options is:

d. H0: (\mu_e - \mu_g) = 0 vs. Ha: (\mu_e - \mu_g) \neq 0

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morpeh [17]

Answer:

80 buckets of red paint

Step-by-step explanation:

Given

The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4

Total ratio = 3 + 4 = 7

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Required

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First get the total amount of paint used.

3/7 * x = 60

x is the total paint used

3x/7 = 60

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x = 420/3

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Amount of red paint = Total - Amount of yellow paint

Amount of red paint = 140 - 60

Amount of red paint = 80

Hence there are 80 buckets of red paint in the store

4 0
2 years ago
Challenge Question Sally's bank account balance was $50 on Monday. On Tuesday, she bought a new pair of shoes for $45. On Thursd
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Answer:

  $8

Step-by-step explanation:

After the shoe purchase, her balance was $50 -45 = $5.

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<em>Assuming no overdraft charge</em>, her balance after depositing her earnings was ...

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25/9 converted into a mixed number equals
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nine can go in 2 times because 3 times would be way to much
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now to figure out you're numerator do 25-18=7
Now it would be 2 7/25
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Step-by-step explanation:

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Assets = (Market value of loan + purchased government bond + reserve value)

(490 million + 215 million + 70 million)

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