Explain square roots
1 answer:
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To find:
An irrational number that is greater than 10.
Solution:
Irritation number: It cannot be expression in the form of , where,
are integers.
For example: .
We know that square of 10 is 100. So, square root of any prime number is an example of an irrational number that is greater than 10.
First prime number after 100 is 101.
Required irrational number
Therefore, is an irrational number that is greater than 10.
The data is missing in the question. The data is provided below :
Document : 1 2 3 4 5 6 7 8
Brand A 17 29 18 14 21 25 22 29
Brand B 21 38 15 19 22 30 31 37
Solution :
State of the hypothesis of the null hypothesis and alternate hypothesis.
Null hypothesis :
Alternate hypothesis :
These hypothesis is a one tailed test. The null hypothesis will get rejected when the mean difference between the sample means is very small.
Significance level = 0.05
Therefore the standard error is :
= 3.602
And the degree of freedom, DF = 14
= -1.319
Here, = standard deviation of the sample 1
= standard deviation of the sample 2
= size of the sample 1
= size of the sample 2
= mean of the sample 1
= mean of the sample 2
d = the hypothesis difference between the population mean
The observed difference in a sample means t static of -1.32. From t distribution calculator to determine P() = 0.1042
Since the P value of 0.1042 is greater than significance level o 0.05, we therefore cannot reject the null hypothesis.
But from the test, we have no sufficient evidence that supports that Brand A is better than Brand B.