IQ scores among the general population have a mean of 100 and a standard deviation of 14. A researcher claims that the standard deviation, σ, of IQ scores for females is not equal to 14. A random sample of 24 IQ scores for females had a mean of 99 and a standard deviation of 12. Is there significant evidence (at the 0.1 level of significance) to conclude that the researcher's claim is correct?
Perform a two-tailed test then answer below:
- Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.
- The null hypothesis: H0: ___
- The alternative hypothesis: H1:
- The type of test statistic: ____ (Z, t, Chi square,or F)
- The value of the test statistics: ___
- The two critical values at the 0.1 level of significance: ___
- Can we Support the claim that the stand deviation of IQ scores for females is not equal to 14? ___ (Y or N)