Since previous studies have reported that elite athletes are often deficient in their intake the group of researchers have decided to evaluate Canadian high performance athletes. A total of n=324 athletes from eight canadian sports centers participated in the study. One reported finding is that average caloric intake amongst the n=201 women was 2403.7 kcal/day. The recommended amount is 2811.5 kcal/day. Is there evidence that female canadian athletes are deficient in their caloric intake.
1) Supposing a standard deviation of 880 kcal/day, carry out the test. Give the p-value and then interpret the result in plain language.