0b. Which type of test should be applied?O The alternative hypothesis indicates a right-tailed test.The alternative hypothesis indicates a left-tailed test.The alternative hypothesis indicates a...


The mean number of English courses taken in a two-year time period by male and female college students is<br>believed to be about the same. An experiment is conducted and data are collected from 29 males and 16<br>females. The males took an average of three English courses with a standard deviation of 0.8. The females<br>took an average of four English courses with a standard deviation of 1.0. Are the means statistically the same?<br>(Assume a 5% level of significance.)<br>Useful tools:<br>Normal Distribution Calculator<br>t-Distribution Calculator<br>a. Which of the following null and alternative hypotheses match this scenario?<br>Ο Η0: Δμ 0<br>Ha: Δμ 0<br>Ο Η: Δμ 40<br>H: Δμ= 0<br>H0: Δμ- 0<br>Ha: Δμ > 0<br>b. Which type of test should be applied?<br>O The alternative hypothesis indicates a right-tailed test.<br>The alternative hypothesis indicates a left-tailed test.<br>The alternative hypothesis indicates a two-tailed test.<br>c. Which type of distribution should be applied?<br>The required distribution is a Normal Distribution.<br>The required distribution is Student's t-Distribution.<br>The required distribution is a Binomial Distribution approximated by a Normal Distribution.<br>d. Calculate the p-value from this hypothesis test.<br>p =<br>

Extracted text: The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of three English courses with a standard deviation of 0.8. The females took an average of four English courses with a standard deviation of 1.0. Are the means statistically the same? (Assume a 5% level of significance.) Useful tools: Normal Distribution Calculator t-Distribution Calculator a. Which of the following null and alternative hypotheses match this scenario? Ο Η0: Δμ 0 Ha: Δμ 0 Ο Η: Δμ 40 H: Δμ= 0 H0: Δμ- 0 Ha: Δμ > 0 b. Which type of test should be applied? O The alternative hypothesis indicates a right-tailed test. The alternative hypothesis indicates a left-tailed test. The alternative hypothesis indicates a two-tailed test. c. Which type of distribution should be applied? The required distribution is a Normal Distribution. The required distribution is Student's t-Distribution. The required distribution is a Binomial Distribution approximated by a Normal Distribution. d. Calculate the p-value from this hypothesis test. p =
e. Which of the following is an appropriate conclusion?<br>Given that p < a at a 5% level of significance, from the sample data, there is sufficient evidence<br>to conclude that the means are statistically the same.<br>Given that p > a at a 5% level of significance, from the sample data, there is sufficient evidence<br>to conclude that the means are statistically the same.<br>Given that p > a at a 5% level of significance, from the sample data, there is not sufficient<br>evidence to conclude that the means are statistically the same.<br>Given that p < a at a 5% level of significance, from the sample data, there is sufficient evidence<br>to conclude that the difference in means is statistically significant.<br>

Extracted text: e. Which of the following is an appropriate conclusion? Given that p < a="" at="" a="" 5%="" level="" of="" significance,="" from="" the="" sample="" data,="" there="" is="" sufficient="" evidence="" to="" conclude="" that="" the="" means="" are="" statistically="" the="" same.="" given="" that="" p=""> a at a 5% level of significance, from the sample data, there is sufficient evidence to conclude that the means are statistically the same. Given that p > a at a 5% level of significance, from the sample data, there is not sufficient evidence to conclude that the means are statistically the same. Given that p < a at a 5% level of significance, from the sample data, there is sufficient evidence to conclude that the difference in means is statistically significant. a="" at="" a="" 5%="" level="" of="" significance,="" from="" the="" sample="" data,="" there="" is="" sufficient="" evidence="" to="" conclude="" that="" the="" difference="" in="" means="" is="" statistically="">
Jun 01, 2022
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