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guapka [62]
3 years ago
15

A can of lemonade concentrate has a diameter of 3 inches and a height of 4.5 inches. If the concentrate dissolves in 3.5 cans of

water, how much water must be added?
Mathematics
2 answers:
shutvik [7]3 years ago
6 0
47.25 just time all of them
Wewaii [24]3 years ago
5 0
V=3.14 x 1.5(1.5) x 4.5
V= 3.14 x 2.25 x 4.5
V= 31.7925
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Answer:

H_0:\mu  = 45 and H_a:\mu  < 45

T = 34.88

The null hypothesis is not rejected

Step-by-step explanation:

Given

Random sample of 50 commuter times

Solving (a): The null and alternate hypothesis

From the question, a previous census shows that:

\mu =45 and \sigma= 9.1

This is the null hypothesis i.e.

H_0:\mu  = 45

Reading further, a new test was to show whether the average has decreased.

This is the alternate hypothesis, and it is represented as:

H_a:\mu  < 45

Solving (b) and (c): The test statistic (T).

This is calculated using:

T = \frac{\mu}{\sigma/\sqrt n}

In this case:

n = 50   \mu =45 and \sigma= 9.1

So:

T = \frac{45}{9.1/\sqrt{50}}

T = \frac{45}{9.1/7.07}

T = \frac{45}{1.29}

T = 34.88

Solving (c): Accept or reject null hypothesis

\alpha = 0.05

First calculate the degrees of freedom (df)

df = n - 1 = 50 - 1

d f = 49

From the t distribution table,

At: d f = 49,  \alpha = 0.05 and T = 34.88

the t score is:

p = 1.676

p > 0.05

<em>So, the null hypothesis is not rejected</em>

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