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Aleonysh [2.5K]
3 years ago
10

A computer professor is interested in studying the amount of time it would take students enrolled in the Introduction to Compute

rs course to write and run a program in Matlab. The professor hires you to analyze the following results in minutes from a random sample of 9 students:
10 12 8 16 12 13 10 11 15

Required:
At the 0.05 level of significance, is there evidence that the population average time is greater than 10 minutes?
Mathematics
1 answer:
inysia [295]3 years ago
6 0

Answer:

Following are the solution to the given question:

Step-by-step explanation:

In this question, firstly we calculating the \bar{x} \ \ and \ \ s

\bar{x}=11.89 \\\\s = 2.52\\\\n = 9\\\\\alpha=0.05\\

H_0 : u \leq 10\\\\ H_1 : u > 10

It is an upper test  and testing the statistics:

t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}\\\\t=\frac{11.89-10 }{\frac{2.52}{\sqrt{9}}}\\\\t=2.25\\\\

So, the test statistics t=2.25

\alpha=0.05 \\\\ d.f = n-1\\\\

     =9-1\\\\=8

critical value =2.306 ( using t-table ) critical\ value  >\ test\ statistics , \  Fail\  to\  Reject\  H_0

Decision: We should not reject the null hypothesis.

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