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1 answer:
Answer:
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
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<em>Comment on the rule of exponents</em>
You can see where the rule comes from when you consider that an exponent signifies repeated multiplication.
x² = x·x . . . . . . the 2 signifies that x is a factor 2 times
x³ = x·x·x . . . . the 3 signifies that x is a factor 3 times
The product of these is ...
(x²)(x³) = (x·x)(x·x·x) = x·x·x·x·x = x⁵ = x²⁺³
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Answer:
Step-by-step explanation:
hello : here is a solution
Answer:
The value of the test statistic is
Step-by-step explanation:
Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Sample 1:
Sample 2:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that
Distribution of the difference:
What is the value of the test statistic?
The value of the test statistic is