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These are the Transum resources related to the statement: "Conduct a statistical hypothesis test for the mean of a Normal distribution with known, given or assumed variance and interpret the results in context".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

Here are some exam-style questions on this statement:

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*The heights of palm trees along a beach are normally distributed with a mean of 4.55m and a standard deviation of 0.37m.*" ... more - "
*Eels are elongated fish, ranging in length from 5cm to 4m. In a certain lake the length of the eels are normally distributed with a mean of 84cm and a standard deviation of 18cm. Eels are classified as giant eels if they are more than 120 cm long.*" ... more - "
*A group of students sat a Biology examination and a Computer Studies examination. The students' marks in the Biology examination are normally distributed with a mean of 70 and a standard deviation of 9.*" ... more - "
*The weights of players in a sports league are normally distributed with a mean of 75.2 kg, (correct to three significant figures). It is known that 75% of the players have weights between 67 kg and 80 kg. The probability that a player weighs less than 67 kg is 0.05.*" ... more - "
*A random variable \(X\) is normally distributed with \(\mu=250\) and \(\sigma=25\).*" ... more - "
*The weights in grams of 98 mice are shown in the cumulative frequency diagram. The heaviest mouse weighted 160g.*" ... more - "
*The length of Costlow's bâtard bread loaves in centimetres is normally distributed with mean \( \mu \). The following table shows probabilities for values of \(L\).*" ... more

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