NettetAboutTranscript. When we describe shapes of distributions, we commonly use words like symmetric, left-skewed, right-skewed, bimodal, and uniform. Not every distribution fits one of these descriptions, but they are still a useful way to summarize the overall shape of … Nettet26. mar. 2024 · Key Takeaway. The Empirical Rule is an approximation that applies only to data sets with a bell-shaped relative frequency histogram. It estimates the proportion of the measurements that lie within one, two, and three standard deviations of the mean. Chebyshev’s Theorem is a fact that applies to all possible data sets.
Solved A random sample of 25 values is drawn from a Chegg.com
NettetA random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 12 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 11.5. (a) Is it appropriate to use a Student's t distribution? Explain. NettetThe manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound shaped and symmetric with mean u = 25.9 mpg and standard deviation o=9.5 mpg. If 30 such cars are tested, what is the probability the average mpg is less than 23 miles per gallon? Expert Answer 100% (1 rating) french president and first lady
2.8: Measures of the Spread of the Data - Statistics …
NettetStatistics and Probability questions and answers. The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 24.6 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be ... Netteta) If we have a distribution of x values that is more or less mound-shaped and somewhat symmetrical, what is the sample size n needed to claim that the distribution of sample means x from random samples of that size is approximately normal? n ≥______ (b) If the original distribution of x values is known to be normal, do we need to make any ... Nettetthe students would be approximately mound shaped with a mean of 40 minutes and a standard deviation of 6 minutes. Approximately how long should be allotted for the examination if the professor wants almost all, say 97.5%, of the class to finish? 40 + 2 x 6 = 52 min 6. Suppose the mean and SD are 74 and 10, respectively. fast ones