\( \begin{array}{ll}\bar{x}=43,000 & s_{x}=2.2 \quad \bar{y}=42,000 \\ s_{y}=101 \quad r=-0.84 \\ \text { Send data to Excel }\end{array} \) Regression line equation: \( \hat{y}=\square \quad \times \quad \)

Data from the Office for National Statistics show that the mean age at which men in Great Britain get married was 32.5 . A news reporter noted that this represents a continuation of the trend of waiting until a later age to wed. A new sample of 47 recently wed British men provided their age at the time of marriage. This data is contained below. Age- \( 26,36,27,30,28,26,36,33,25,30,31,34,26,33,29,32,30,39 \), \( 34,27,30,30,35,26,28,29,36,28,28,26,38,25,35,40,26,35,35,27 \), \( 33,29,28,33,38,39,35 \) Do these data indicate that the mean age of British men at the time of marriage exceeds the mean age in 2013 ? Test this hypothesis at a= 0.01. What is your conclusion? Use the obtained rounded values in your calculations. Sample mean: Sample standard deviation: t-value: p-value (Upper Tail):

University administrators have recently realized that students who tend to spend more time in the library achieve higher grades on their final examinations. What type of relationship would a researcher call this tendency? (A) positive relationship (B) A negative relationship (C) An inverse relationship (D) There is no correlational relationship between time spent in the library and subsequent final exam

When viewing SPSS output, how does one know what decision to make with regard to the \( H_{0} \) ? (A) Ife confidence level lies between the p-value and \( X^{2} \) obt the \( H_{0} \) can be rejected (B) If \( p a \), the \( H_{0} \) can be rejected (C) If the \( x_{0}^{2} \), the \( H_{0} \) is greater be rejected (D) the critical value, the \( H_{0} \) can be retained

What is the main goal of hypothesis testing in statistics? A To prove that the null hypothesis is true. B To determine whether there is enough evidence to reject the null hypothesis. (C) To calculate the mean of the population. (D) To verify the accuracy of the sample data.

In a one-sample t-test, which of the following is true about the null hypothesis? (B) The sample mean is greater than the population mean (C) The sample mean is not equal to the population mean (D) The sample size is larger than 30