Obesity is one of the biggest health problems in the world and it accounts for the death of millions of people every year. It causes diseases such as diabetes, cardiovascular disease, cancer, stroke, dementia, and various others. To find a solution for this health issue, a random selection of 50 people were put on a weightloss program. The person in charge suspects that the distribution for the weight-loss program is normally distributed. The following data were collected:

Weight (kg) Frequency Less than 1 3 1 to less than 3 5 3 to less than 5 19 5 to less than 7 13 7 to less than 9 8 More than 9 2 Test whether the data are normally distributed with mean of 4 kg and standard deviation of 2.5 kg at a 5%

significance level. Write a conclusion for the claim made by the person in charge.