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FAHAD HUSSAIN

FAHAD H.

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Ameer Said verified

Numerade educator

find 95% confidence interval for the mean

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Robin Corrigan verified

Numerade educator

Test the hypothesis that the average content of containers of a particular abricant is 10 Jiners if the contents of a random sample of 10 containers are 10.2, 9.7, 10.1, 10.3, 10.1,9.9, 10.4,10.3 and 9.8 liters. Use a 0.01 level of significance and assume that the distribution of contents is normal

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The probability of defective item produced by machine is 0.001 if 3000 items are produced by machine find the probability that 4 are defective?

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The following figure belonged to the electricity consumed t watts by 10 households residing on a street. X: 70, 110, 115, 130, 65, 75, 70, 80, 100, 120. Calculate variance of the given data? (b) Calculate coefficient of variation of the given data? (c) Calculate 95 % range of the given data?

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QUESTION 2 I. A rocket motor is manufactured by bonding together two types of propellants, an igniter and a sustainer. The shear strength of the bond \( y \) is thought to be a linear function of the age of the propellant \( x \) when the motor is cast. Ten observations are shown in the table: \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|} \hline Strength ' \( y \) ' (psi) & 2159 & \( 1678.2 \) & 2316 & 2061 & 2208 & 1708 & 1785 & 2575 & 2358 & 2278 \\ \hline Age ' \( x \) ' (weeks) & \( 15.5 \) & \( 23.75 \) & 8 & 17 & 5 & 19 & 24 & \( 2.5 \) & \( 7.5 \) & 11 \\ \hline \end{tabular} (a) Investigate the simple linear regression model by using least squares' estimates of the slope and intercept. (b) Figure out the mean shear strength of a motor made from propellant that is 20 weeks old. (c) Analyze the correlation by using Karl Pearson's coefficient.

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Robin Corrigan verified

Numerade educator

A safety engineer claims that only 40% of all workers wear safety helmets when they eat lunch at the workplace. Assuming that his claim is right, find the probability that 4 of 6 workers randomly chosen will be wearing their helmets while having lunch at the workplace

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