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Marina CMI [18]
2 years ago
7

A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has d

etermined the home delivery will be successful if the mean time spent on the deliveries does not exceed 30 minutes. The owner has randomly selected 45 customers and has delivered pizzas to their homes. Sample mean was found to be 31.4 minutes with a standard deviation of 4.5 minutes. Is there a strong evidence that on average it takes more than 30 minutes for home delivery?
Mathematics
1 answer:
liberstina [14]2 years ago
5 0

Answer:

Step-by-step explanation:

Given that the owner of the local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas.

Sample size = n =45:   Sample mean= x bar = 31.4 and s = 4.5

Std error of sample = \frac{s}{\sqrt{n} } =0.671

H_0: x bar = 30\\H_a: x bar >30

(One tailed test at 5% )

Mean difference = 1.4

Test statistic = Mean diff/se = 2.087

(t test only can be used as population std dev not known)

p value = 0.0218

Since p <0.05 our alpha, we reject null hypothesis.

There is a strong evidence that on average it takes more than 30 minutes for home delivery

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3 years ago
A person invests 6500 dollars in a bank. The bank pays 7% interest compounded
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Answer:

t=16.2 years

Step-by-step explanation:

A=p(1+r/n)^nt

A=$20100

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t=?

t=ln(A/P)/n {ln(1+r/n)}

=ln(20100/6500) / 4{ln(1+0.07/4)}

=ln(3.0923)/4{ln(1+0.0175)}

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=1.1289/4(0.0174)

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2 years ago
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Step-by-step explanation:

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Answer:

See below.

Step-by-step explanation:

First, we can see that \lim_{x \to 2}  (f(x))= -1.

Thus, for the question, we can just plug -1 in:

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Saying undefined (or unbounded) will be correct.

However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words, f(x) will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:

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