The amount a person should eat depends on their age and the amount of physical activity undertaken by them. The recommended average daily calories intake for a woman aged over 50 and with low physical activity is 1,600 calories. A nutritionist believes the average daily calorie intake of women aged over 50 with low physical activity should be lower. The population she is interested to investigate provides an actual average daily calorie of 1,500 and gives a standard deviation of 162 calories. The nutritionist took a random sample of 36 women aged over 50 who had low physical activities of mean 1,550 calories.

Determine the probability that her test is the correct control at a 10% significance level.