7.34 Nutritional intake among Canadian high-performance male athletes. Recall Exercise 6.74 (page 382). For one part of the study, male athletes from eight Canadian sports centers were surveyed. Their average caloric intake was 3077.0 kilocalories per day (kcal/d) with a standard deviation of 987.0. The recommended amount is 3421.7. Is there evidence that Canadian high-performance male athletes are deficient in their caloric intake?

1. (a) State the appropriate H₀ and H_a to test this.

2. (b) Carry out the test, give the P-value, and state your conclusion.

3. (c) Construct a 95% confidence interval for the average deficiency in caloric intake.