# Question- LO2: Investigate applications of statistical techniques to interpret, organise and present data by using appropriate computer software packages. a- The owner of the Ches Tahoe restaurant is interested in how much people spend at the restaurant. H…

using appropriate computer software packages. a The owner of the Ches Tahoe restaurant is interested in how much people spend at the restaurant. He examines 10 randomly selected receipts for parties of four and writes down the following data. Find the mean and standard deviation 44, 50, 38, 96, 42, 47, 40, 39, 46, 50 b- Show and explain what is the normal distribution approximation for the binomial distribution where n = 20 and p = .25 (ie. the binomial distribution displayed in Figure 1 of Binomial Distribution)? Binomial vs Normal Distribution 025 020 ons = Binomial 010 Normal 005 ooo ll 123656789 i0uizisieisi617i8192021 c The average life of a motor is 10 years and the standard deviation is 2 years. Given that the manufacturer can replace only 3% of the motors for faulty reasons, how long should the guarantee be for if the lives of the motors represent a normal distribution? d- The manufacturer of metal pistons found that on average 12% of the pistons are rejected because they are oversize or undersize. What is the probability that in any group of 10 pistons: 1. Not more than 2 pistons are rejected

| 1- Not more than 2 pistons are rejected 2 pistons are rejected 3- how interpret these results in terms of profitability and loss of revenues The lifetime of a particular type of light-bulb has been shown to follow a Normal distribution with mean lifetime of 1000 hours and standard deviation of 125 hours. Three bulbs are found to last 1250, 980 and 1150 hours. Convert these values to standardized normal scores.

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