The following is a set of data from a sample of n = 7 6 13 5 2 7 16 18 (a) Compute the first quartile (Q_{1}) , the third quartile (Q_{3}) and the interquartile range (b) List the five-number summary (c) Construct a boxplot and describe the shape

The dataset is 'Apple_Juice.csv', which is posted on Canvas. The 'Apple Juice' column contains the amount in ounces in each of 22 bottles taken as a simple random sample from the manufacturing assembly line. The filling machine is not precise which makes the content of juice vary from bottle to bottle. Each bottle's label states it contains 63 ounces of apple juice. The manufacturer requires the mean amount of juice in a bottle be 63.05 ounces to decrease the chance of a bottle being under the 63-ounce threshold by random chance. Given the manufacturer's concern about filling bottles, conduct a hypothesis test to determine the mean amount of a bottle may be less than the target of 63.05 ounces. 1. What is the parameter of interest in this study? 2. What is the population related to this study? 3. State the null hypothesis (HO) and the alternative hypothesis (H1) related to the objective of this study.

A manufacturer of office machines is considering the production of a new word processor. The decision to start large-scale production of the new machines will be based on the comparison of the mean operating speed using the standard machines (µx) and the mean operating speed using the new machines (uy). Since operators of the machine have varying abilities, a random sample of 20 typists was selected and the speed of each typist in the sample was observed once using the new word processor and once using the standard word processor. The collected data on the speed (in minutes) are as follows: Typist (i) Standard Processor (Xi) 1 4 6. 7 10 60.2 58.7 59.4 60.3 61.7 60.2 64.1 63.2 62.4 57.8 New Processor (Yi) 57.2 57.4 56.4 58.5 60.1 61.4 61.9 60.4 60 56.8 Typist (i) Standard Processor (Xi) 11 12 13 14 15 16 17 18 19 20 55.4 61.2 64.7 64.1 62.9 65.8 69.3 56.4 58.5 63.7 New Processor (Yi) 50.2 58.4 63.5 60.5 62.2 66.3 68.5 56.6 58.3 60.2 Assuming normality, compute a 95% confidence interval…

A clinical trial is run to investigate the effectiveness of an experimental drug in reducing preterm delivery to a drug considered standard care and to placebo. Pregnant women are enrolled and randomly assigned to receive either the experimental drug, the standard drug or placebo. Women are followed through delivery and classified as delivering preterm (< 37 weeks) or not. The data are shown below. Is there a statistically significant difference in the proportions of women delivering preterm among the three treatment groups? Run the test at a 5% level of significance. Give each of the following 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. Preterm Delivery Total Yes No Experimental Drug Standard Drug Placebo Total 33 40 32 45 13 18 17 35 37 83 120

19.2 Coffee drinkers. A July 2015 Gallup poll interview by phone a random sample of 1009 American adults; 675 said they were regular coffee drinkers. a) describe the population and explain in words what the parameter p is. b) give the numerical value of the statistical ^p that estimates p. c) Give a 95% confidence interval for the proportion of American adults who are regular coffee drinkers.

A survey found that women`s heights are normally distributed with a mean of 62.7 inches and a standard deviation of 2.5 inches. The survey also found that men`s heights are normally distributed with a mean of 67.3 inches and a standard deviation of 3.1 inches. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 inches. and a maximum of 63 inches.  a) Find the percentage of men meeting the height requirement. Round to 2 decimal places if needed.

The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1100 who were over the age of 25, and 871 of them were high school graduates, (a) Find the mean and standard deviation for the number of high school graduates in groups of 1100 Americans over the age of 25. Mean = %3D Standard deviation = (b) Is that county result of 871 unusually high, or low, or neither? (Enter HIGH or LOW or NEITHER) Give your answers exactly, or to at least 4 decimal places.

Samples of 400 printed circuit boards were selected from each of two productionlines A and B. Line A produced 40 defectives, and line B produced 80 defectives.Using an estimate for each line, do the data indicate that the two lines produce adifferent fraction of defective circuit boards, with 97% confidence.

An excess of high values for the cases distributed on a graph results in a positive skew in the data?