ta represents a sample of the number of home fires started by candles for the pa

Question

ta represents a sample of the number of home fires started by candles for the past 30. The dat 7 years in a certain city 5460 5900 6090 6310 7160 8480 9930 (Check yourself: the sample mean is 7047 and sample standard deviation is 1616) a. Identify the variable in this set up b. Identify an individual in this set up c. Find and interpret the 99% confidence interval for the mean number of home fires started by candles each year, assume normal distribution. Does the confidence interval, at 99% confidence level, provide sufficient evidence that the mean number of home fires started by candles in this city is greater than 5000 per year d. Write an appropriate inequality to justify your answer

Explanation / Answer

<The 2 questions are completely unrelated. Please post the first question as a seperate one if you want answer to both. I am answering the second question>

TheNormal Density curve is mesokurtic and symmetric irrespective of the value of mean and variance. i.e. the curve is neither flattened nor peaked but completely bell shaped and is always symmetric. Hence a change in mean will only change the location of the curve but the position remains exactly the same. Hence the curve with mean 0 will be to the left and the curve with mean 4 will be shifted 4 units to the right. So the correct answer is (d) Have the same height but one will be shifted 4 units to the right.

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