Suppose the previous mean exam score was 70. We would like to know whether or not the mean score has increased.
Answer the following question using any approximate method by stating the necessary assumptions.
The data are here:
75 70 88 80 80 66 65 68 85 80 78 72 69 75 86 96 77 81 76 80
66 65 78 87 88 75 85 84 66 78 76 74 85 64 76 75 76 74 81 76
(a) State the null and alternative hypothesis, and carry out the
hypothesis test using the significance level of 0.05.
(b) Construct a 90% confidence interval for the mean score.
a and b please
Assumptions:
(We use t test for single mean)
Let the sample drawn be simple random sample.
The sample data are independent.
The sample size is less than 30 .
Population standard deviation is unknown.
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