A diet doctor claims that the average Australian is more than 5kg overweight. To test this claim, a random sample of 50 Australians were weighed, and the difference between their actual weight and their ideal weight was calculated. The mean and the standard deviation of that difference were 6.5 and 2.2 kg, respectively. Can we conclude, with α = 0.05, that enough evidence exists to show that the doctor’s claim is true?

There is enough  evidence to conclude that the doctors claim is  true

Step-by-step explanation:

From the question we are told that

  The  population mean is  

   The sample size is  n =  50

    The  sample mean is  

    The  standard deviation is

The  null hypothesis is

The  alternative hypothesis is  

Generally the test  statistics is mathematically represented as  

=>      

=>      

The p-value is obtained from the z- table  the value is  

Seeing that    we reject the null hypothesis

Hence there is enough  evidence to conclude that the doctors claim is  true

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step-by-step explanation: