1. Scores on the SAT Mathematics test (SAT-M) are believed to be normally distributed with mean. The scores of a random sample of eight students who recently took the exam. The results are shown in the table 1. Are these data evidence that µ has changed from prior belief (or information) that the average of scores is 600? To determine this, Answer we test the hypotheses Ho: H = 600, Ha: µ + 600 at the 5% significance level (If you want to use R, please use %3D score.csv posted on Canvas). Table 1 Student 1 3 4 6 7 8 Score 580 620 720 650 690 690 580 670 standard error of X bar (a) What is the standard error of a sample mean (x bar)? (Round it to two decimal places) t* df (b) What is a 95% confidence interval for u? State the degrees of freedom and t-value clearly. Lower Bound (Limit) Upper Bound (Limit) (c) Back to the one sample t-test. What is the value of test statistic?

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1. Scores on the SAT Mathematics test (SAT-M) are believed to be normally distributed with mean. The scores of a
random sample of eight students who recently took the exam. The results are shown in the table 1. Are these data
evidence that µ has changed from prior belief (or information) that the average of scores is 600? To determine this,
Answer
we test the hypotheses Ho: H = 600, Ha: µ + 600 at the 5% significance level (If you want to use R, please use
%3D
score.csv posted on Canvas).
Table 1
Student
1
3
4
6
7
8
Score
580
620
720
650
690
690
580
670
standard error of X bar
(a) What is the standard error of a sample mean (x bar)? (Round it to two decimal places)
t*
df
(b) What is a 95% confidence interval for u? State the degrees of freedom and t-value clearly.
Lower Bound (Limit)
Upper Bound (Limit)
(c) Back to the one sample t-test. What is the value of test statistic?
Transcribed Image Text:1. Scores on the SAT Mathematics test (SAT-M) are believed to be normally distributed with mean. The scores of a random sample of eight students who recently took the exam. The results are shown in the table 1. Are these data evidence that µ has changed from prior belief (or information) that the average of scores is 600? To determine this, Answer we test the hypotheses Ho: H = 600, Ha: µ + 600 at the 5% significance level (If you want to use R, please use %3D score.csv posted on Canvas). Table 1 Student 1 3 4 6 7 8 Score 580 620 720 650 690 690 580 670 standard error of X bar (a) What is the standard error of a sample mean (x bar)? (Round it to two decimal places) t* df (b) What is a 95% confidence interval for u? State the degrees of freedom and t-value clearly. Lower Bound (Limit) Upper Bound (Limit) (c) Back to the one sample t-test. What is the value of test statistic?
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