In a study of birth order and intelligence, IQ tests were given to brothers to e
ID: 3231994 • Letter: I
Question
In a study of birth order and intelligence, IQ tests were given to brothers to estimate the size of the difference, if any, between the IQs of first and second sons. A researcher randomly selected 6 pairs of brothers and obtained the following data. Test the belief that there is a difference in the IQs first born sons and second born sons at the 0.10 level of significance. (Assume all requirements for testing the mean difference have been met.) State the null and alternative hypotheses. A) H_0: mu_1 = mu_2, H_1: mu_1 notequalto mu_2 B. H_0: x_d = 0, H_1: x_d notequalto 0 C) H_0: mu_d > 0, H_1: mu_d lessthanorequalto 0 D) H_0: mu_d = 0, H_1: mu_d notequalto 0 E) H_0: mu_d = 0, H_1: mu_d > 0 Calculate the P-value. What is the correct decision? A) P = 0.583, do not reject H_0 B) P = 0.1174, reject H_0 C) P = 0.1174, do not reject H_0 D) P = 0.583, reject H_0 E) There is not enough information to make a decision. Which of the following statements would be a correct conclusion? A) There is sufficient evidence for the researcher to conclude that first born sons have different IQs than second born sons. B) There is sufficient evidence for the researcher to conclude that first born sons have lower IQs than second born sons. C) The evidence proves the researchers belief that there is a difference in the IQs. D) The evidence does not support the researcher's belief that there is a difference in the IQs. E) There is not a sufficient amount of data to test the hypothesis.Explanation / Answer
hence 32) option D is correct
33)option C is correct
34)option D is correct
1st born 2nd born difference(d) 117 114 3 96 91 5 111 115 -4 115 113 2 109 100 9 123 118 5 mean 3.333 std deviaition 4.3205 sample size 6.0000 std error= std dev/(n)^(1/2) 1.7638 t stat= (d)/std error 1.8898 p value = 0.1174