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(a)

The total number of students is the size of the population is $\"\"$ .

The size of the population is less than $\"\"$ and the standard deviation value is unknown hence the distribution is $\"\"$ -distribution.

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(b)

The total number of students is the size of the population is $\"\"$ .

The mean value is $\"\"$ .

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$\"\"$ .

The mean value is $\"\"$ .

The standard deviation is $\"\"$ .

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The standard deviation is $\"\"$ .

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(c)

A confidence interval for $\"\"$ distribution is $\"\"$ .

Where $\"\"$ is the sample mean, $\"\"$ is a critical value with $\"\"$ degrees and $\"\"$ is the standard deviation and sample size is $\"\"$ .

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The confidential interval is $\"\"$ .

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(d)

There are $\"\"$ confident that students average between $\"\"$ hours after school activities per week.

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(a) The size of the population is less than $\"\"$ and the standard deviation value is unknown hence the distribution is $\"\"$ -distribution

(b) The mean value is $\"\"$ and standard deviation is $\"\"$ .

(c) The confidential interval is $\"\"$ .

(d) There are $\"\"$ confident that students average between $\"\"$ hours after school activities per week.