3 Get a similar questlon You can retry this question below A sample of size \( n=10 \) is drawn from a population. The data is shown below. \( \begin{array}{lllll}102.8 & 115.4 & 98.2 & 96.2 & 93.3 \\ 115.4 & 81.8 & 76.1 & 115.4 & 88.9\end{array} \) What is the range of this data set? range \( =\begin{array}{ll}39.3\end{array} \) What is the standard deviation of this data set? (Round to 2 decimal places) stdev \( =16.03 \)

Test the claim that the proportion of people who own cats is significantly different than \( 10 \% \) at the 0.2 significance level. The null and alternative hypothesis would be: \( H_{0}: p=0.1 \quad H_{0}: p=0.1 \quad H_{0}: \mu=0.1 \quad H_{0}: \mu=0.1 \quad H_{0}: p=0.1 \quad H_{0}: \mu=0.1 \) \( H_{1}: p \neq 0.1 \quad H_{1}: p<0.1 \quad H_{1}: \mu \neq 0.1 \quad H_{1}: \mu>0.1 \quad H_{1}: p>0.1 H_{1}: \mu<0.1 \) The test is: right-tailed left-tailed two-tailed Based on a sample of 700 people, \( 8 \% \) owned cats The test statistic is: \( -\quad \) This is not a decimal or integer value. (to 4 decimal places) The p-value is:

Activity 1 (Measures of Relative Position) Kindly answer this by group, with at most 5 members for each group. Answer this on a whole sheet of paper. 1. Median Income: In 2009 , the median family income in the United States was \( \$ 49,777 \). (Source: U. Census Bureau) If the 90 th percentile for the 2009 four-person family income was \( \$ 137,632 \), find th percentage of families whose 2009 income was a. more than \( \$ 49,777 \). b. more than \( \$ 137,632 \) c. between \( \$ 49,777 \) and \( \$ 137,632 \)

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that \( 30 \% \) of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 76 stocks traded on the NYSE that day showed that 10 went up. You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3 . You use a significance level of \( \alpha=0.002 \). What is the test statistic for this sample? Use \( \hat{p} \) rounded to 4 decimal places. (Report answer accurate to 4 decimal places.) test statistic \( =-3.198^{\circ} \times \)

Coffee consumption has been found to be negatively correlated with amount of sleep, with a correlation coefficient of 0.5 . How much can the coffee consumption account for the variance of amount of sleep? \( 0.5 \% \) \( 50 \% \) \( 0.25 \% \) \( 25 \% \)

9 A \( 99 \% \) confidence interval for the mean mass of steel sheets produced in a factory is \( (30.37 \mathrm{~kg}, 32.43 \mathrm{~kg}) \). This interval is based on a random sample of 36 steel sheets. Find a \( 95 \% \) confidence interval for the mean mass of steel sheets, assuming that the masses of steel sheets are normally distributed.