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IQ scores among the general population have a mean of 100 and a standard deviation of 15 . A researcher claims that the standard deviation,
IQ scores among the general population have a mean of 100 and a standard deviation of 15 . A researcher claims that the standard deviation, G, of IQ scores for males is less than 15 . A random sample of 22 IQ scores for males had a mean of 99 and a standard deviation of 10. Assuming that IQ scores for males are approximately normally distributed, is there significant evidence (at the 0.05 level of significance) to conclude that the researcher's claim is correct? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) () State the null hypothesis Ho and the alternative hypothesis H. O P H : 0 S P H : 0 (b) Determine the type of test statistic to use. Degrees of freedom: _ O-0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) X 5 0 (e) Can we support the claim that the standard deviation of IQ scores for males is less than 15? O Yes ONo
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