2. A teacher wants to investigate whether there is a difference between male and
ID: 3077534 • Letter: 2
Question
2. A teacher wants to investigate whether there is a difference between male and female students in the amount of time they spend studying for statistics. The table below shows the amount of time students spend studying statistics each week. The amounts of time spent studying are normally distributed.Explanation / Answer
A teacher wants to investigate whether there is a difference between male and female students in the amount of time they spend studying for statistics. The table below shows the amount of time students spend studying statistics each week. The amounts of time spent studying are normally distributed. Male Female 27 25 25 29 19 18 10 23 16 20 17 15 15 19 a. What statistical test should be used to analyze the data? Try an independent groups t-test. b. Is this a one- or two tailed test? This will be a two-tailed test because the problem is just asking if there is a difference, which could be in either direction. c. Identify H0 and Ha for this study. Ho: µ1 = µ2 -->population means are equal Ha: µ1 does not equal µ2 -->population means are not equal d. Conduct the appropriate analysis. Should H0 be rejected? xbar1 = 18.429 s1 = 5.884 n1 = 7 xbar2 = 21.286 s2 = 4.716 n2 = 7 Pooled variance : Sp^2 = (5.884^2(7 - 1) + 4.716^2(7 - 1))/(7 + 7 - 2) = 28.429 Degree of freedom = 7 + 7 - 2 = 12 Test statistic = (18.429 - 21.286) / sqrt(28.429(1/7 + 1/7)) = -1.002 Let significance level = 0.05 Critical value : t cr = ±2.179 We cannot reject the null hypothesis since the test statistic is not more extreme than the critical values. We don't have sufficient evidence to conclude that there is a difference between male and female students in the amount of time they spend studying for statistics.
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