<p>Write down the null and alternative hypotheses for each of the following situations:</p>
<ol class="abc-list"><li><div class="list-item-paragraph">The average IQ in a school ($\mu $) over a long period of time has been $102$. It is thought that changing the mathematics teacher might influence the average IQ. </div></li><li><div class="list-item-paragraph">It is claimed that the average size of $5$ minutes long video created by a camera ($\mu $) is $712$ Mb. A computer engineer believes that this figure is inaccurate. </div></li><li><div class="list-item-paragraph">A consumer believes that chicken nuggets sold in packets of $1$ kg are on average underweight. </div></li><li><div class="list-item-paragraph">A student believes that the average extra amount earned by degree holders is more than $\$3000$/month.</div></li><li><div class="list-item-paragraph">The mean braking force of a cable does not normally exceed $5000$N. A new brand claims that it regularly does exceed this value. </div></li><li><div class="list-item-paragraph">The average time taken to match a fingerprint on a smartphone is normally more than $0.72$ seconds. A new phone claims to be able to do better. </div></li><li><div class="list-item-paragraph">The fraction of apple flavoured toffees in a box if advertised as being $20\%$ but Milo thinks that it is more than this. </div></li><li><div class="list-item-paragraph">The standard deviation of measurements of the temperature of meat is thought to have decreased from its previous value of $0.5{}^\circ \text{C}$.</div></li></ol>

Write down the null and alternative hypotheses for each of the following situations:

The average IQ in a school ($\mu $) over a long period of time has been $102$. It is thought that changing the mathematics teacher might influence the average IQ. 

It is claimed that the average size of $5$ minutes long video created by a camera ($\mu $) is $712$ Mb. A computer engineer believes that this figure is inaccurate. 

A consumer believes that chicken nuggets sold in packets of $1$ kg are on average underweight. 

A student believes that the average extra amount earned by degree holders is more than $\$3000$/month.

The mean braking force of a cable does not normally exceed $5000$N. A new brand claims that it regularly does exceed this value. 

The average time taken to match a fingerprint on a smartphone is normally more than $0.72$ seconds. A new phone claims to be able to do better. 

The fraction of apple flavoured toffees in a box if advertised as being $20\%$ but Milo thinks that it is more than this. 

The standard deviation of measurements of the temperature of meat is thought to have decreased from its previous value of $0.5{}^\circ \text{C}$.

Null and Alternative Hypotheses

Null and Alternative Hypotheses

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