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Mice21 [21]
3 years ago
14

A pitcher of lemonade in Manny's refrigerator was full in the morning. In the afternoon, he drank two glasses of lemonade. Each

glass holds 8 ounces. That evening, 24 ounces of lemonade remained in the pitcher. What is the total volume of lemonade, in ounces, that the pitcher can hold?
Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0
To find how much lemonade the pitcher can hold, you will add the amounts that he drank and remained to get a total.  This total would be the starting amount.

8 oz + 8 oz + 24 oz = 40 ounces

The pitcher originally held 40 ounces of lemonade.
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The volume is 27 cubic cm.

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Q 4.19: To verify whether there are negative consequences of taking a new type of medicine, 3000 tests were conducted. Assume th
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Answer:

The p-value obtained is less than the significance level at which the test was performed at, hence, we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Step-by-step explanation:

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the new medicine has no negative effects and the alternative hypothesis is that the new medicine is potentially harmful

Mathematically,

The null hypothesis is represented as

H₀: p = 0

The alternative hypothesis is represented as

Hₐ: p > 0

To do this test, we will use the z-distribution because although no information on the population standard deviation is known, the sample size is large enough.

So, we compute the test statistic

z = (x - μ)/σₓ

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checking the tables for the p-value of this test statistic

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p-value (for z = 5.60, at 0.01 significance level, with a one tailed condition) = < 0.00001

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.01

p-value = < 0.00001

p-value < 0.00001 < 0.10

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Hope this Helps!!!

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