68% of statistics 99 sta 95% of statistics Mean + 1 st. Mean 1 st. 2 st dev 3 st. dev dev 2 st. dev below dev above below below above ppose that water usages in American showers are normally distributed, ing 17.8 gallons, and a standard deviation of 2.9 gallons. Estimate the pe ed % of showers use between 9.1 and 26.5 gallons. % of showers use more than 26.5 gallons. % of showers use less than 14.9 gallons.

Are Older men Shorter than younger men? According to a national mean report the theight arus men IS 69.4 Inches. In a sample Between ages 60 and 300 men 69 The mean theight was I 68.7 Inches. Public Health Officials Want to determine whether the mean theight 14 108 For alder men is less than the mean Height All adult men of population standard deviation is Use a=0.65 level of 3.42 Signifigance, and the pratue

A particular fruits weights are normally distributed, with a mean of 797 grams and a standard deviation of 17 grams. The heaviest 16% of fruits weigh more than how many grams?

the driving distances (miles) to wor of 30 people are shown below. assume the population standard deviation is 8 miles. Find: 12, 9, 7, 3, 27, 21, 2, 30, 7, 4, 1, 10, 2, 9, 2, 28, 7, 10, 13, 6, 13, 7, 3, 13, 6, 6, 3, 13 ,12, 16, 18 a) the point estimate of the population mean  b) the margin of error for a 95% confidence interval  c) contruct a 95% confidence interval for the population mean.

Consider the given data set. n = 12 measurements: 9, 8, 1, 5, 5, 7, 5, 6, 8, 7, 2, 0 Find the mean. USE SALT Find the standard deviation. (Round your answer to four decimal places.) z = Find the z-score corresponding to the minimum in the data set. (Round your answer to two decimal places.) Find the z-score corresponding to the maximum in the data set. (Round your answer to two decimal places.) z = Do the z-scores indicate that there are possible outliers in the data set? Since the z-score for the larger observation is larger than 2 in absolute value, the larger value is unusually large. Since both z-scores exceed 2 in absolute value, both of the observations are unusual. Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large. Since the z-score for the smaller observation is larger than 2 in absolute value, the smaller value is unusually small.

The histogram below shows the miles that students commute to a community college. What statistic should we use to measure the typical spread for this quantitative data set? 14 12 10 8- 6 642 4. 2 0 O Standard Deviation O Interquartile Range O Mean 10 20 30 40 50 60 70 80 commute_in_miles O Range O Median

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 11 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 3.2, 0, 0, 0, 3.2, 3.2, 1.1, 0.8, 0.5, 1.3, 3.5 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use b. The null and alternative hypotheses would be: Select an answer Ho: Select an answer O H1: Select an answer O c. The test statistic ? 0 = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? e a f. Based on this, we should Select an answer e the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly less than 2 at a = 0.05, so there is sufficient evidence…

z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?