Please do not use chatgpt, avoid using it completely, because it does not do the math well, do it by hand step by step The director of a technical school wants to know who earns more, men or women. In a random sample of 40 men and women, he observes that men earn on average $3,700 and a standard deviation of $350, while in a sample of 37 women they earn on average $3,450 and a standard deviation of $320. Should the director reject the null hypothesis of \mu_1 = \mu_2 and accept the alternative hypothesis \mu_1 < \mu_2 at a significance level of 0.05?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Please do not use chatgpt, avoid using it completely, because it does not do the math well, do it by hand step by step

The director of a technical school wants to know who earns more, men or women. In a random sample of 40 men and women, he observes that men earn on average $3,700 and a standard deviation of $350, while in a sample of 37 women they earn on average $3,450 and a standard deviation of $320. Should the director reject the null hypothesis of \mu_1 = \mu_2 and accept the alternative hypothesis \mu_1 < \mu_2 at a significance level of 0.05?

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