Suppose a game consists of rolling a die until the player accumulates 15 dots. Approximate the expected number of rolls needed to win. Also approximate the standard deviation of the number of rolls needed to win. Then find an approximate value of the coefficient of variation for the number of rolls needed to win

The distribution of the variable X, representing the average time to failure for an automobile battery,can be written as: X∼Exp(m). Describe this distribution in words.

The average American gets a haircut every 34 days. Is the average smaller for college students? The data below shows the results of a survey of 15 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 35, 23, 32, 38, 31, 39, 35, 25, 30, 36, 40, 27, 23, 32, 25 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answerv Hi: ?vSelect an answerv c. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is 2v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that.. O The data suggest the population mean is not significantly lower than 34 at a = 0.10, so there M 24 3. 4. 5 6. 7 EU

A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was 1544 and the standard deviation was 314.The test scores of four students selected at random are 1940​, 1290​, 2250​,and 1420.Find the​ z-scores that correspond to each value and determine whether any of the values are unusual. ​(Round to 2 decimal places as​ needed.)

Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.         A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, one on the left side and one on the right side. The region between the lines is shaded. Moving from left to right, the x-axis below the first line is labeled 75. The x-axis below the second line is labeled 110.

The largest error occurs when p =

The chart to the right shows that a professor's grading distribution is bell shaped, or normally shaped. The mean of the distribution is 74 and the standard deviation is 9. Using a Continuous Variable Normal Bell Distribution Model, calculate the minimum test score needed to score in the top 5% of the class. Complete your work in the worksheet by listing the formula inputs, labels for the formula inputs and make your calculations with formulas. This test problem is similar to what you studied in video # 32, 33 and 34 and homework problems # 17, 21 and 23. Relative Frequency Frequency Professor looks at all test score for a particular test (this is population data), and observes: 0.5 0.45 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 Mean = 74 Median = 74 Mode = 73 SD=9 0 0 0 up to 10 up 10 to 20 0 20 up to 30 0 30 up to 40 2 40 up to 50 29 50 up to 60 X = Score 112 60 up to 70 225 70 up to 80 111 80 up to 90 21 2 90 up 100 up to 100 to 110

Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. The area of the shaded region is ​(Round to four decimal places as​ needed.)

A Biomedical engineer is measuring how much current is needed to stimulate the nerve of a rat to create a muscle function. He is measuring 5 rats and wants to evaluate if less current is needed to stimulate a young animal compared to an old animal. The mean of the current to stimulate young animals is 4.6mA. Meuasrements from trials on Old Rats: 6, 6, 12, 7, 8 (in mA) Can the engineer conclude that old rats need more current?

Assume that blood pressure readings are normally distributed with μ= 124 and σ= 9. A researcher wishes to select people for a study but wants to exclude the top and bottom 9 percent. What would be the upper and lower readings to qualify people to participatein the study?