The average person aged 15 or older gets 8 hours and 23 minutes {503 minutes) of sleep per night. To test if this average has changed recently, a random sample of 53 people aged 15 years or older was selected, and the number of minutes they slept recorded. Assume the standard deviation of hours of sleep is 64 minutes. Using or = 0.10, complete parts a through c below. a. Explain how Type | and Type II errors can occur in this hypothesis test. A Type I error can occur when the researcher concludes the average hours of sleep changed, but the the average hours of sleep did not change. A Type II error can occur when the researcher concludes that the average hours of sleep did not change, when, in fact, the average hours of sleep changed. b. Calculate the probability of a Type II error given the actual average hours of sleep is 508 minutes. The probability of committing a Type II error is (Round to three decimal places as needed.)