Random processes are fundamental to many fields, including signal processing, telecommunications, and finance. A random process is essentially a collection of random variables indexed by time or space. These processes are used to model systems that evolve over time in…
Statistical inference helps us make decisions or predictions about a population based on sample data. In classical methods of inference, we focus on point estimation, interval estimation, hypothesis testing, and linear regression. These are the cornerstones of applied statistics, frequently…
Answer: The level of significance is: $ \alpha = 1 – 0.90 = 0.10 $ The critical values are: $ \chi^2_L = \chi^2_{(1 – \frac{\alpha}{2}, df)} = \chi^2_{(1 – 0.05, 13)} = \chi^2_{(0.95, 13)} \approx 5.892 , $ $ \chi^2_U…
c=0.98, n=26 Answer:Given Data: Solution: The level of significance: $ \alpha = 1 – 0.98 = 0.02 $ The degrees of freedom: $ df = n – 1 = 26 – 1 = 25 $ Critical values: $ \chi^2_L =…
Answer:Given:$x = 21, 17, 44, 33$ Solution:The mean weight of cranes $(\bar{x}):$$\bar{x} = \frac{\sum x}{n} = \frac{21+17+44+33}{4}= 28.75$ Final answer:The mean weight of cranes $(\bar{x}) = 28.75$
Answer:Given:$x = 29, 19, 43, 48, 10, 22, 34, 37, 26$ Solution:The mean weight of cranes $(\bar{x}):$$\bar{x} = \frac{\sum x}{n} = \frac{29+19+43+48+10+22+34+37+26}{9} = 29.78$ Final answer:The mean weight of cranes $(\bar{x}) = 29.78$
Answer:Given:$x = 27, 14, 39, 47, 13, 23, 36, 41$ Solution:The mean weight of cranes $(\bar{x}):$$\bar{x} = \frac{\sum x}{n} = \frac{27+14+39+47+13+23+36+41}{8}= 30$ Final answer:The mean weight of cranes $(\bar{x}) = 30$
Answer:Given:$x = 20, 18, 42, 38, 16$ Solution:The mean weight of cranes $(\bar{x}):$$\bar{x} = \frac{\sum x}{n} = \frac{20+18+42+38+16}{5}= 26.8$ Final answer:The mean weight of cranes $(\bar{x}) = 26.8$
Answer:Given:x = 30,12,45,50,11,25,35 Solution:The mean weight of cranes $(x\bar):$$\bar{x} = \frac{\sum x}{n} = \frac{30+12+45+50+11+25+35}{7}= 29.7143 $ Final answer:The mean weight of cranes $(x\bar) = 29.7143 $