IQ Scores among the general population have a mean of 100 and a standard deviation of...
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IQ Scores among the general population have a mean of 100 and a standard deviation of 14. A researcher claims that the standard deviation, o, of IQ scores for females is not equal to 14. A random sample of 19 IQ scores for females had a mean of 102 and a standard deviation of 9. Assuming that IQ scores for females are approximately normally distributed, is there significant evidence (at the 0.01 level of significance) to conclude that the researcher's claim is correct? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H, :o = 14| The alternative hypothesis: H. :o 14 1 OSO D=D Degrees of freedom: 18 The type of test statistic: Chi square O<O The value of the test statistic: (Round to at least three decimal places.) 7.439 The p-value: (Round to at least three decimal places.) 0.986 Can we support the claim that the standard deviation of IQ scores for females is not equal to 14? Yes No IQ Scores among the general population have a mean of 100 and a standard deviation of 14. A researcher claims that the standard deviation, o, of IQ scores for females is not equal to 14. A random sample of 19 IQ scores for females had a mean of 102 and a standard deviation of 9. Assuming that IQ scores for females are approximately normally distributed, is there significant evidence (at the 0.01 level of significance) to conclude that the researcher's claim is correct? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H, :o = 14| The alternative hypothesis: H. :o 14 1 OSO D=D Degrees of freedom: 18 The type of test statistic: Chi square O<O The value of the test statistic: (Round to at least three decimal places.) 7.439 The p-value: (Round to at least three decimal places.) 0.986 Can we support the claim that the standard deviation of IQ scores for females is not equal to 14? Yes No
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