13 For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part wit
1 answer:
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Answer:
1- A critical value right-tailed Normality test.
2- Yes, they did.
3-
<u>Null hypothesis </u>
The national average on the statistics achievement test is 60
<u>Alternative hypothesis </u>
The average on the experimental program for statistics education is greater than 60
4- 0.05 or 5%
5- A Type 1 Error is the error we make when we reject the null hypothesis given that it is true.
Step-by-step explanation:
1)
Since the sample size is greater than 30, the population follows a Normal distribution, and we suspect the average is greater than the established one, the appropriate test to use is a critical value right-tailed Normality test.
2)
To check if the students scored significantly above the national average in this special program to a significance level α = 0.05, we must check if the <em>z-statistic</em> given by the sample falls to the right of 1.64, since the area under the Normal N(0;1) to the right of 1.64 equals 0.05
<em>Our z-statistic is given by the formula </em>
<em>
</em>
<em>where </em>
<em> is the mean of the sample
</em>
<em> is the mean of the null hypothesis
</em>
<em> is the standard deviation
</em>
<em>n is the sample size </em>
Our z-statistic is then
<em>Since 2.4 > 1.64, the students did score significantly above the national average in this special program to a significance level α = 0.05 </em>
3)
<u>Null hypothesis </u>
The national average on the statistics achievement test is 60
<u>Alternative hypothesis </u>
The average on the experimental program for statistics education is greater than 60
4)
The probability of a Type 1 Error is 0.05 or 5% (the significance level)
5)
A Type 1 Error is the error we make when we reject the null hypothesis given that it is true.