A study was conducted to assess the effects that occur when children are exposed to cocaine before birth. Children were tested at age 4 for object assembly skill, which was described as “a task requiring visual-spatial skills related to mathematical competence” and their test scores were recorded. Assume that test scores in both populations are normally distributed. The data are summarized as follows: Children not exposed to prenatal cocaine use: n = 10, x ̄ = 8.2, s = 3.0 111 Children born to prenatal cocaine users: n = 12, x ̄ = 7.3, s = 3.0 222 (a) At 5% significance test the claim that prenatal cocaine exposure is associated with lower scores of four-year-old children on the test of object assembly. (i.) State the hypotheses. (ii.) Test for equality of unknown population variances. (iii.) Calculate test statistic.
A study was conducted to assess the effects that occur when children are exposed to cocaine before birth. Children were tested at age 4 for object assembly skill, which was described as “a task requiring visual-spatial skills related to mathematical competence” and their test scores were recorded. Assume that test scores in both populations are
Children not exposed to prenatal cocaine use: n = 10, x ̄ = 8.2, s = 3.0 111
Children born to prenatal cocaine users: n = 12, x ̄ = 7.3, s = 3.0 222
(a) At 5% significance test the claim that prenatal cocaine exposure is associated with lower scores of four-year-old children on the test of object assembly.
(i.) State the hypotheses.
(ii.) Test for equality of unknown population variances.
(iii.) Calculate test statistic.
(iv.) Calculate degrees of freedom.
(v.) critical value/values
(vi.) State your decision.
(vii.) Write the interpretation.
(b) Calculate the p−value of the test.
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