Page 1 of 1
Assume that the number of times an adult laughs during any day in April is normally distributed with a population standa
Posted: Thu May 05, 2022 9:03 pm
by answerhappygod
- Assume That The Number Of Times An Adult Laughs During Any Day In April Is Normally Distributed With A Population Standa 1 (38.4 KiB) Viewed 34 times
Assume that the number of times an adult laughs during any day in April is normally distributed with a population standard deviation o=4.1. Suppose we wish to estimate the average daily laughter in April. Twenty randomly selected adults were observed on a random day in April, and the average number of times they laughed was 19.75. 2 pts. a) Do we need the Central Limit Theorem to assume the sample mean is normally distributed? Explain. 3 pts. b) Construct a 90% confidence interval for the mean daily laughter for an adult in April. 2 pts. c) Suppose we know that adults laugh, on average, 17 times per day in the month of March. Is there reason to believe that adults laugh more in the month of April? Justify your response using your confidence interval. 3 pts. d) If researchers plan to construct a new 90% confidence interval with a margin of error of 2, what minimum sample size would be needed?