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satela [25.4K]
3 years ago
7

A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of

$12.00. Alyssa thinks that her school is more fashion conscious and that students spent more than $195.00. She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00. Which of the following are the correct null hypothesis and alternate hypothesis?
Mathematics
2 answers:
beks73 [17]3 years ago
8 0
H0= 195; Ha > 195
Hope this helps.
dezoksy [38]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that Alyssa thinks that her school is more fashion conscious and that students spent more than $195.00. She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00.

Since she wants to check whether sample mean x bar is the same as population mean mu = 195

H_0 : x bar = 195\\H_a: x bar >195

(Right tailed hypothesis test)

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The point Estimate is 0.645 , the confidence interval is (0.525 ,0.764).

<h3>What is Point Estimate ?</h3>

The point estimate is the proportion of success in the sample.

From the data given

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p = 0.645

The point Estimate is 0.645

(b) Confidence interval for true proportion is

\rm {p -Z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}  , p +Z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}

For 95 % Z = 1.96

p =0.645

1-p = 0.355

putting the values

\rm {0.645 -1.96 \sqrt{\dfrac{0.645\times0.355}{62}}  , {0.645 +1.96 \sqrt{\dfrac{0.645\times0.355}{62}} \\

(0.525 , 0.764)

Lower Limit = 0.525

Upper Limit = 0.764

To know more about Point Estimate

brainly.com/question/17514579

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2 years ago
A park in a subdivision is triangular shaped. Two adjacent sides of the park are 487 feet a d 465 feet. The angle between the si
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Answer:

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Step-by-step explanation:

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∵ The water take the shape of the tank

∴ The height of the water = volume of water ÷ Area of the base of the tank

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Answer:

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Answer:

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