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Nuetrik [128]
3 years ago
10

I need help with this problem and if you can help me I would definitely appreciate it :)

Mathematics
1 answer:
Georgia [21]3 years ago
3 0

Answer:

a. x=2, y=13

b. x=14, y=25

c. x=−4, y=13

Step-by-step explanation:

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The manager of a local nightclub has recently surveyed a random sample of 280 customers of the club. She would now like to deter
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Answer:

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Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

Step-by-step explanation:

We have the following info given:

\bar X = 35.6 represent the sampel mean for the age of customers

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n = 280 represent the sample size selected

We want to test if the mean age of her customers is over 35 so then the system of hypothesis for this case are:

Null hypothesis: \mu \leq 35

Alternative hypothesis \mu >35

The statistic for this case is given by:

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

And replacing the data given we got:

z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007

We can calculate the p value since we are conducting a right tailed test like this:

p_v = P(z>2.007) = 0.0224

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

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