A data set has a RANGE of 24 and a MEAN of 104. If the data set contains three numbers and the highest number is 118, then what
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Answer:
We accept the null hypothesis that the mean gpa's are equal, with the 5 percent level of significance.
Step-by-step explanation:
We have these following hypothesis:
Null
Equal means
So
Alternative
Different means
So
Our test statistic is:
In which are the sample means,
are the sample sizes and
are the standard deviations of the sample.
In this problem, we have that:
So
What to do with the null hypothesis?
We will reject the null hypothesis, that is, that the means are equal, with a significante level of if
In which v is the number of degrees of freedom, given by
Applying the formula in this problem, we have that:
So, applying t at the t-table at a level of 0.975, with 20 degrees of freedom, we find that
We have that
Which is lesser than t.
So we accept the null hypothesis that the mean gpa's are equal, with the 5 percent level of significance.
Answer:
- See below
Step-by-step explanation:
<h3>#7</h3>- 5⁵(16²5³)³ = 5⁵(2⁴)³(5³)³ = 5⁵2¹²5⁹ = 5¹⁴2¹²
- (8⁴5³/8⁵)² = (5³/8)² = (5³)²/(2³)² = 5⁶ / 2⁶
- (5⁸3⁷/5⁴)¹⁰ = (5⁴3⁷)¹⁰ = (5⁴)¹⁰(3⁷)¹⁰ = 5⁴⁰3⁷⁰
<u>Multiplying powers with same base:</u>
- Same base with powers added up
<u>Multiplying powers with same exponent but different base:</u>
- Same exponent with bases multiplied