You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of corn. You gather the following data: Mass(g) of ears of corn 13.4 14.1 15.0 15.4 15.4 18.0 18.3 18.7 19.1 20.3 20.7 22.2 23.4 23.9 Some of the masses in the sample seem much larger than the rest. You decide to make several calculations describing the "spread" of the data set. You hope to use them to help in the search for outliers. Here are your summary Statistics: Mean St. Dev. 18.6 4.79 15.4 15.5 16.3 16.6 16.7 34.4 Min Q1 13.4 15.4 Med Q3 Max 17.35 20.4 34.4
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- A researcher collected how many grams of fat people on a specific diet consumed at breakfast and at lunch. The data for a sample of 8 people is shown in the table below. xx 11.3 8.2 7.2 3.6 2.3 2.5 2.7 0.4 yy 13.7 10.7 10.2 7.2 6.3 6.5 6.1 4.1 xx = grams of fat in breakfastyy = grams of fat in lunchThis data can be modeled by the equation ˆy=0.84x+4.07.y^=0.84x+4.07.Given this, how many grams of fat in lunch would be expected for a person who consumed 1.2 grams of fat at breakfast? Round to 1 decimal place.Answer =You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of corn. You gather the following data: Mass(g) of ears of corn 12.9 13.8 14.0 14.7 15.3 15.3 15.7 16.5 16.9 18.2 18.3 18.9 19.4 19.7 19.7 19.9 20.6 20.6 20.9 21.0 24.9 35.0 Some of the masses in the sample seem much larger than the rest. You decide to make several calculations describing the "spread" of the data set. You hope to use them to help in the search for outliers. Here are your summary Statistics: Mean St. Dev. Min Q1 Med Q3 Max 18.7 4.69 12.9 15.4 18.6 20.425 35 Find the following: Apply the 1.5 IQR rule to search for outliers. Report the lower and upper cuttoffs. IQR = Lower = Upper = Are there any outliers by the 1.5 IQR rule? (Enter "yes" or "no") Apply the 2-standard deviation rule to search for outliers. Report the lower and upper cuttoffs. Lower = Upper = Are there any outliers by the 2-standard deviation rule? (Enter "yes" or "no")Consider the population of all laptop computers owned by students at your university. You want to know the weight of the laptop. (a) Specify the population unit. (b) Specify the variable of interest. (c) Specify the statistical population.
- Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Ho: P1 P2 less than or equal to 0 Ha P1 P2 greater than 0 b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? 1,435 1,750 1,422 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let P1 = population proportion of rooms occupied for current year P2 = population proportion of rooms occupied for previous year Current year Previous Year .82 .05 p-value = .7997 Using a 0.05 level of significance, what is your conclusion? .014 c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. to .066 Do you think area officials would be pleased with the results?…The following data (see photo) represent the weights (in grams) of random sample of 50 M&M plain candies. Determine the actual percentage of M&Ms that weigh more than 0.911 gram.Farmer Joe has a theory. He believes that cows produce more milk when listening to upbeat music. He wants to estimate the true mean amount of milk produced by cows while listening to upbeat music. He randomly selects 15 cows and plays upbeat music anytime he milks them that day. Here are the results in gallons per day: 8, 10, 9.5, 10.25, 8, 9.5, 10, 12, 9.5, 10.75, 12, 12.5, 9.25, 11, 10.75 He constructs and interprets a 95% confidence interval for the true mean number of gallons of milk produced by cows while listening to upbeat music. Which of the following steps, if any, contain an error? State: We want to estimate x = the mean number of gallons of milk produced by these cows while listening to upbeat music with 95% confidence. Plan: One-sample t interval for μ Random? Random sample of 15 cows. Yes! Normal/Large Sample? The sample size is small, but the dotplot doesn't show any outliers or strong skewness. 8 8.5 ● O ● T 11 10 9 9.5 10.5 Amount of milk produced in a day (gallons) Two…
- Dr. Salim is a dentist. Identify the the average number of cavities that his patients have from the data given. 1 0 2 56 3 4 O a.0 O b.3 Oc7 Od.21A cereal maker recently sampled 20 of its medium-size oat cereal packages to determine the weights of the cereal in each package. These sample data, measured in ounces, are given below. 18.1 15.7 16.9 17.1 13.1 O 14.6 14.8 14.3 18.7 13.5 17.4 15.6 15.5 16.4 18.5 14.5 14.9 17.2 16.5 17.5 Calculate the first and third quartiles for these sample data. The first quartile is OZ. (Type an integer or decimal rounded to two decimal places as needed.) The third quartile is oz. (Type an integer or decimal rounded to two decimal places as needed.)Sand and clay studies were conducted at the West Side Field Station of the University of California. (Reference: Professor D. R. Nielsen, University of California, Davis.) Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded. 19.5 27.3 30.4 24.2 33.8 27.4 24.8 18.2 16.4 8.4 1.7 0.1 Test the sequence for randomness about the median. Use α = 0.05. (a) What is the level of significance? (b) Find the sample test statistic R, the number of runs.(c) Find the upper and lower critical values in Table 10 of Appendix II. c1 c2
- What proportion of people who correctly solved the problem had the electrical stimulationThe mass of a whiffle ball varies, usually between 40 and 50 grams. You decide to gather a random sample of whiffle balls and record the mass of each. Your data is displayed in the table below. (Units are grams.) 39.1 43.3 40.1 45.5 41.7 45.3 42.2 45.3 44.3 39.3 46.2 40.6 41.4 48.3 49.2 44.5 Checksum: 786.5 a) mean 47.6 You would like to describe a "typical" whiffle ball from your data set. You decide to make several calculations describing the "center" of the data set. Find the following: b) median 42.6Arsenic in ToenailsArsenic is toxic to humans, and people can be exposed to it through contaminated drinking water, food, dust, and soil. Scientists have devised an interesting new way to measure a person's level of arsenic poisoning: by examining toenail clippings. In a recent study,1 scientists measured the level of arsenic (in mg/kg) in toenail clippings of eight people who lived near a former arsenic mine in Great Britain. The following levels were recorded: 0.8 1.9 2.7 3.4 3.9 7.1 11.9 26.0 1Button, M., Jenkin, G.,Harrington, C., and Watts, M., "Human Toenails as a biomarker of exposure to elevated environment arsenic," Journal of Environmental Monitoring, 2009; 11(3): 610–617. Data are reproduced from summary statistics and are approximate. (a) Do you expect the mean or the median of these toenail arsenic levels to be larger? Mean Median (b) Calculate the mean. Round your answer to one decimal place.Mean = Enter your answer in…