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A composition teacher wishes to see whether her students' grammatical errors when writing a two- page essay are at most five errors. He recorded how

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A composition teacher wishes to see whether her students' grammatical errors when writing a two- page essay are at most five errors. He recorded how many errors were made by each of the students, and the data was analysed with SPSS, and the result is shown in the SPSS output below. One-Sample Statistics N Mean Std. Deviation Std. Error Mean Number of errors 16 5.06 1.914 478 One-Sample Test Test Value = 5 95% Confidence Interval of the Difference t df Sig. (2-tailed) Mean Difference Lower Upper Number of errors X 15 898 063 -.96 1.08i) Write down the null and alternative hypotheses. (1 mark) ii) Find the value of X. (2 marks) ii) Using the p-value, perform the hypothesis testing at the 0.025 level of significance

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