Concept explainers
An experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons (J = 4) of each paint. The sample average spreading rates (ft2/gal) for the five brands were
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Chapter 10 Solutions
Probability and Statistics for Engineering and the Sciences
- Determine the kurtosis if the data given is a sample.arrow_forwardWater availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram b) What is the probability that x is less than 2.7 grams?arrow_forwardWater availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram. a) What is the approximate sampling distribution of x , the mean water loss of the 34 lizardsarrow_forward
- The mean weight of 1000 students at a certain high school is 140pounds and the variance is 100 pounds. Assuming that the weightsare normally distributed, how many students weigh:a. Between 120 and 145 pounds?b. More than 150 pounds?arrow_forwardA study was done to compare the flu incidence rates at the sart and at the end of winter of a given year. A sample of 100 persons were asked for incidence of flu twice: once at the start and once at the end of winter. Sample data were as follows: a. Give 99% CI for the difference in flu incidence rates at the start and at the end of winter? b. Compute a measure of association between flue incidence at the start and at the end of winter?arrow_forwardThe heights of men in a certain city are normally distributed with a mean of 275 cm and a variance of 25cm. Compute the minimum height for the top sixteen percent of the men in the city.arrow_forward
- Consider a normally distributed population of scores with a mean μ = 100 and σx = 10. What score has a Z value of -0.82?arrow_forwardWhat is the kurtosis for a distribution with a mean of 12.00 and a mode of 12.00?arrow_forwardAssume that the helium porosity (in percentage) of coal samples taken from anyparticular seam is normally distributed with true population variance 0.36.(a) Compute a 95% two-sided CI for the true average porosity of a certain seam if the average porosity for 20 specimens from the seam was 4.85. (b) How large a sample size is necessary if the width of the 95% two-sided CI is to be 0.5? (c) Compute a 98% upper one-sided CI for true average porosity of another seam based on 16 specimens with a sample average porosity of 4.56.show major intermediate steps.arrow_forward
- Seedlings of understory trees in mature tropical rainforests must survive and grow using inter- mittent flecks of sunlight. How does the length of exposure to these flecks of sunlight (fleck duration) affect growth? Leakey et al. (2005) experimentally irradiated seedlings of the Southeast Asian rainforest tree Shorea leprosula with flecks of light of varying duration while maintaining the same total irradiance to all the seedlings. Their data for 21 seedlings are listed in the following table. i. What is the rate of change in relative growth rate per minute of fleck duration? provide a standard error for your estimate. ii. using these data, test the hypothesis that fleck duration affects seedling growth rate. iii. Calculate a 99% confidence interval for the slope of the population regression.arrow_forwardThe U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 9800 observations, the sample mean interval was x1 = 61.6 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 24,638 observations, the sample mean time interval was x2 = 72.0 minutes. Historical data suggest that σ1 = 8.56 minutes and σ2 = 12.83 minutes. Let μ1 be the population mean of x1 and let μ2 be the population mean of x2. (a) Compute a 95% confidence interval for μ1 – μ2. (Use 2 decimal places.) lower limit upper limitarrow_forwardA manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the lengths of two different pipes produced by the process.e) What is the expected total length of the two pieces of pipe? Give your answer to three decimal places.f) What is the variance of the length of a single pipe? Give your answer to four decimal places.g) What is the variance of the total length of both pipes? Give your answer to four decimal places.arrow_forward
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