draw a conclusion from the given information. . Ho: μ = 80 Ha: #80 The sample mean is 83, the sample size is 39, and the standard deviat Use a 0.05. = . Ho:μ = 7.5 Ha: μ > 7.5 The sample mean is 8.3 and the sample size is 52. The population normal distribution with standard deviation of 3.17. Use a = 0.01.
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For the first set of information, the null hypothesis (Ho) states that the population mean is equal to 80, while the alternative hypothesis (Ha) states that it is not equal to 80. The sample mean is 83, which is higher than the hypothesized population mean. However, we need to conduct a hypothesis test to determine whether this difference is statistically significant. The sample size and standard deviation are also given. From this information, we can calculate the test statistic and compare it to the critical value at a significance level of 0.05. Without this information, we cannot draw a conclusion.
For the second set of information, the null hypothesis (Ho) states that the population mean is equal to 7.5, while the alternative hypothesis (Ha) states that it is greater than 7.5. The sample mean is 8.3, which is higher than the hypothesized population mean. The sample size and standard deviation are given, as well as the significance level of 0.01. From this information, we can calculate the test statistic and compare it to the critical value, which is 2.33. If the test statistic is greater than 2.33, we can reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.