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[See Steps] A psychological test, used to measure the level of hostility, is known to produce scores which are normally distributed, with a mean of 35.

Question: A psychological test, used to measure the level of hostility, is known to produce scores which are normally distributed, with a mean of 35. Suppose that the test was administered to 25 randomly selected individuals. The sample produced the mean of 40.2 with a standard deviation of 8.55. Test whether there is evidence that the mean score is significantly different from 35.

  1. State the hypotheses.
    (b) Using a 5% significance level, determine the rejection and non-rejection regions.
    (c) Calculate the test statistic, and interpret the result.
    (d) Calculate the p-value, and interpret the result.
    (e) Calculate a 95% confidence interval for the corresponding population mean. How does this result relate to the conclusions in parts (c) and (d)?
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