Help please In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.5 with a standard deviation of 2.2.(a) What response represents the 90th percentile?(b) What response represents the 56th percentile?(c) What response represents the first quartile?(a) The response that represents the 90th percentile is [ ] (Round to two decimal places as needed.)(b) The response that represents the 56th percentile is [ ] (Round to two decimal places as needed.)(c) The response that represents the first quartile is [ ] (Round to two decimal places as needed.)

Quartile that separated or divide the data set into three parts as first quartile, second quartile and third quartile. Where the first quartile represent first 25% of dataset, second quartile represent 50% of the dataset and third quartile represent the 75% of the data set. Percentile that divide the data set into 100 parts, which are eventually helps to explains the better performance of one over another. Given : Mean response of happiness is 5.5 Standard deviation of the response is 2.2 a) 90% percentile response : PX≤x=0.90PX-μσ≤x-5.52.2=0.90Pz<x-5.52.2=0.90x-5.52.2=1.28x-5.5=1.28×2.2x=2.816+5.5=8.316 Where 0.90 area in the standard normal table at 1.28 At 90% percentile the response is 8.32 scale.b) 56% percentile response : PX≤x=0.56PX-μσ≤x-5.52.2=0.56Pz<x-5.52.2=0.56x-5.52.2=0.14x-5.5=0.14×2.2x=0.308+5.5=5.808 Where 0.56 area in the standard normal table at 0.14 At 56% percentile the response is 5.81 scale.c) Response that represent first quartile : Using the mean and standard deviation : Q1=μ-0.675σ=5.5-0.675×2.2=5.5-1.485=4.015 Response that represent first quartile is 4.02