To state:Null hypothesis and alternative hypothesis.

hexacordoK 2020-11-14 Answered
To state:Null hypothesis and alternative hypothesis.
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Nichole Watt
Answered 2020-11-15 Author has 100 answers
Given:
A professor is concerned that the two sections of college algebra that he teaches are not performing at the same level. To test his claim, he looks at the mean exam score for a random sample of students from each of his classes. In Class1, the mean exam for 12 students is 78.7 with a standard deviation of 6.5. In Class 2, the mean exam core for 15 students is 81.1 with a standard deviation of 7.4. Assume that the population variances are equal.
Let class 1 is population! and class 2 is population 2. Let μ1 be the mean exam score of population 1 and μ2 mean score of population 2. A professor is concerned that the two sections of college algebra that he teaches are not performing at the same level. When written mathematically, this is μ1μ2 and hence the alternative hypothesis. By subtracting μ2 from both sides of the above inequality result iμ1iμ20.
The null hypothesis is that there is no significant difference between the mean exam scores of class 1 and class 2 students.
H0:μ1μ2=0
Alternative hypothesis is that there is a significant difference between the mean exam scores of class 1 students and class 2 students.
H1:μ1μ20
Thus, the hypotheses are stated as follows: H0:μ1μ2=0
H1:μ1μ20
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