The total height of Tacy, John, and Alexxa is 350cm. John, the tallest, is 130cm in height. Tacy is 30cm shorter than John. Alex
1 answer:
Answer:
John's height = 130 cm
Alexa's height = 120 cm
Tacy's height = 100 cm
Step-by-step explanation:
We are given the falling in the question:
John's height = 130 cm
The total height of Tacy, John, and Alexa is 350 cm
Let x be Tacy's height and y be Alexa's height.
Thus, we can write the equation:
Tacy is 30 cm shorter than John.
Thus, Tacy's height =
Thus, Tacy is 100 cm tall.
Alexa is 20 cm taller than Tacy.
Thus, Alexa's height
Thus, the height are:
John's height = 130 cm
Alexa's height = 120 cm
Tacy's height = 100 cm
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Answer:
The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.
Step-by-step explanation:
A manufacturer of nails claims that only 4% of its nails are defective.
At the null hypothesis, we test if the proportion is of 4%, that is:
At the alternative hypothesis, we test if the proportion is more than 4%, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
4% is tested at the null hypothesis
This means that
A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.
This means that
Value of the test statistic:
P-value of the test and decision:
Considering an standard significance level of 0.05.
The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.
Looking at the z-table, z = 1.37 has a p-value of 0.9147
1 - 0.9147 = 0.0853
The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.