A Sample of 10 Students Took a Class Online and 12

question 41

Essay

A sample of 10 students took a class online and 12 students took an equivalent class in a traditional classroom. Both classes were given the same final exam three weeks after the end of the courses. The scores were as follows.
$\begin{array}{l|l|l|l|l|l|l|l|l|l|l|l|l}\text { Online } & 70 & 87 & 64 & 95 & 67 & 81 & 64 & 74 & 86 & 80 & & \\\hline \text { Traditional } & 79 & 75 & 89 & 91 & 96 & 76 & 98 & 71 & 91 & 65 & 93 & 83\end{array}$
Can you conclude that the median score for the online class is less than for the trar class? Use the $\alpha = 0.05$ level of significance.
a)State the null and alternate hypotheses.
b)Compute the value of the test statistic.
c)Compute the P-value.
d)State a conclusion

Solve practical problems involving conditional probability, including medical diagnostics and service delivery scenarios.

Calculate the probabilities of composite events using addition and multiplication rules.

Apply Bayes' Law in real-world scenarios like medical diagnosis and service delivery performance.

Analyze the influence of updated information on probability estimates using Bayes' Theorem.

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Definitions:

Centripetal Loading

The force acting on a body moving in a circular path directed towards the center around which the body is moving.

Shear Loading

A condition where a material or structure is subjected to forces that cause sliding failure along a parallel plane to the forces applied.

Taper Pin

A pin that has a gradual decrease in diameter from one end to the other, used to locate or hold parts together.

Straight Pin

A fastener or guide that is long in relation to its diameter, utilized in various mechanical or construction applications.