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3 years ago

5

Carol is making yogurt smoothies. each smoothie uses 1/3 cup of yogurt. she has 4 cups of yogurt. how many smoothies can she mak

e?

1 answer:

Anestetic [448]3 years ago

3 0

Answer:

12

Step-by-step explanation:

1/3 divide by 4

Take the reciprocal and get 3 times 4

Gives you 12.

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2 years ago

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Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa

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Using the z-distribution, it is found that since the <u>test statistic is greater than the critical value</u>, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is <u>tested if the mean length of jail time is still of 2.5 years</u>, that is:

$H_0: \mu = 2.5$

At the alternative hypothesis, it is <u>tested if it has increased</u>, that is:

$H_1: \mu > 2.5$

We have the <u>standard deviation for the population</u>, thus, the z-distribution is used. The test statistic is given by:

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

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
$\sigma$ is the standard deviation of the sample.
n is the sample size.

For this problem, the values of the <u>parameters</u> are: $\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26$

Hence, the value of the <u>test statistic</u> is:

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

$z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}$

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The critical value for a <u>right-tailed test</u>, as we are testing if the mean is greater than a value, with a <u>significance level of 0.05</u>, is of $z^{\ast} = 1.645$

Since the <u>test statistic is greater than the critical value</u>, it can be concluded that the mean length of jail time has increased.

A similar problem is given at brainly.com/question/24166849

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2 years ago