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2 years ago

Cara's grocery bill this week was $7.60 more

Mathematics

1 answer:

Doss [256]2 years ago

5 0

Cara's bill was $30.51 this week.

Cara's bill was $7.60 more than two-thirds of her grocery bill last week.

First thing we need to do therefore, is to find out what 2/3 of her bill was last week:

= 2/3 x 34.37

= $22.91

Her bill was $7.60 more than this amount so it was:

= 7.60 + 22.91

= $30.51

Cara's bill was therefore $30.51 this week.

<em>Find out more at brainly.com/question/22226108.</em>

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Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

$H_0: p \leq 0.05$

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

$H_a: p > 0.05$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

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Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

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