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Gemiola [76]
3 years ago
11

A store put a sweater on sale for half of the original price. the sweaters still did not sell, so the store reduced the price by

an additional $10. the sweaters are now priced at $7.50. what is the original price of the sweaters?
Mathematics
1 answer:
snow_lady [41]3 years ago
3 0
The original cost was $35
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Answer:

Correct option:

(B) <em>H₀</em>: <em>μ</em> = 2.40 vs. <em>Hₐ</em>: <em>μ</em> ≠ 2.40.

Step-by-step explanation:

The registrar of particular university in 1975 plans to look at records of students graduating last year to see if the mean GPA has changed from 2.40.

The registrar can use a single mean test to determine whether the mean has changed or not.

The hypothesis can be described as:

<em>H₀</em>: The mean GPA is 2.40, i.e. <em>μ</em> = 2.40.

<em>Hₐ</em>: The mean GPA is different from 2.40, i.e. <em>μ</em> ≠ 2.40.

To perform the test the registrar can either use a <em>z</em>-distribution or a <em>t</em>-distribution.

If the data provided gives some insight about the population standard deviation and the sample selected is quite large then the <em>z</em>-distribution can be used.

Otherwise it is wiser to use a <em>t</em>-distribution.

The decision rule is:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Thus, the correct option is (B).

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