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Suppose that a group of 100 consumers are asked to rate how much they liked the taste of a new soft drink on a 5-point scale (where 5 = good taste and 1 = poor taste) . The mean rating was 4.6, with a standard deviation of 1.25. Suppose, further, that the standard error of the mean for this study was 0.15. If you wanted to find the 95 per cent confidence interval (two-tailed test) , and if the Z-value at the .05 level of significance is 1.96, then the confidence interval lies between approximately:
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