Every number has three cube roots.

The only real cube root of -64 is <em>-4</em> .

The other two cube roots of -64 are a pair of complex conjugates.
I'm too lazy to calculate them right now, and you didn't ask for them
anyway.

3 0

3 years ago

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It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation

Makovka662 [10]

Answer:

Test statistic = 2

P-value = 0.0227

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $98

Sample mean, $\bar{x}$ = $100

Sample size, n = 100

Population standard deviation, σ = $10

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 98\text{ dollars}\\H_A: \mu > 98\text{ dollars}$

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{100 - 98}{\frac{10}{\sqrt{100}} } = 2$

Now, we can calculate the p-value from the normal table

P-value = 0.0227

6 0

3 years ago