IQ scores among the general population have a mean of 100 and a standard deviation of 14. A researcher claims that the standard deviation, 6, of IQ scores for females is not equal to 14. A random sample of 24 IQ scores for females had a mean of 98 and a standard deviation of 11. Assuming that IQ scores for females 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 two-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.)

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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 24 IQ scores
females had a mean of 98 and a standard deviation of 11. Assuming that IQ scores for females
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 two-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.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
H, :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
O=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the two critical values. (Round to three or more decimal places.)
O and I
(e) Can we support the claim that the standard deviation of IQ scores for
females is not equal to 14?
OYes ONo
olo
Ix
Transcribed Image Text: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 24 IQ scores females had a mean of 98 and a standard deviation of 11. Assuming that IQ scores for females 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 two-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.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the two critical values. (Round to three or more decimal places.) O and I (e) Can we support the claim that the standard deviation of IQ scores for females is not equal to 14? OYes ONo olo Ix
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