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Thirty GPAs from a randomly selected sample of statistics students at a college are given in the accompanying table. Assume that the population distribution is
Thirty GPAs from a randomly selected sample of statistics students at a college are given in the accompanying table. Assume that the population distribution is approximately Normal. The technician in charge of records claimed that the population mean GPA for the whole college is 2.85. A one-sided test with a significance level of 0.05 had previously been performed on the data and the null hypothesis was rejected. Use the data to find a 95% confidence interval for the mean GPA. If a two-sided alternative had been used with a significance level of 0.05, would the hypothesized mean of 2.85 have been rejected? Click the icon to view the data table. First, find the 95% confidence interval for the mean GPA. The confidence interval is to (Round to two decimal places as needed. Use ascending order.)Student GPA table 2.85 3.38 3.15 2.59 3.41 2.72 3.07 3.51 2.65 3.87 2.84 2.63 3.52 3.02 2.74 3.45 2.43 3.12 3.49 3.17 3.11 3.01 3.14 2.96 3.47 3.55 2.44 3.14 3.12 3.03
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