(Solved): Given a \( 5 \% \) significance level, which of the following probability values would be considere ...

Given a \( 5 \% \) significance level, which of the following probability values would be considered not statistically significant? a.) \( 0.995 \) b.) \( 0.023 \) c.) \( 0.459 \) d.) \( 0.011 \) Which statement is TRUE regarding Type I and Type Il errors? a.) A significant result coupled with a false null hypothesis is a Type I error. b.) Significant results indicate both a Type I and Type Il error. c.) Not getting a significant result when the null hypothesis should be rejected is a Type Il error. d.) Getting a significant result when the null hypothesis is true is a Type II error. Which statement correctly defines a confidence interval? a.) A confidence interval only indicates the range of values that will contain significant data. b.) A confidence interval indicates the likely range of values for the population mean to fall within. c.) A confidence interval is equal to the sample mean times the margin of error. d.) A confidence interval indicates a range of values not related to the population mean. A team of scientists wants to know more about the weight of a certain endangered species, so they gathered 60 different samples of weights and calculated the \( 95 \% \) confidence intervals for the means. Which of the following statements is TRUE? a.) The population mean likely does not fall within that confidence interval. b.) The majority of the 60 samples likely do not have a weight within that confidence interval. c.) A new sample would likely yield a mean within that confidence interval. d.) A new sample would likely yield a mean larger than the calculated mean.