A consumer group claims that the mean annual consumption of banana by a person in the Philippines is at most 10.3 kilograms. A random sample of 100 people in the Philippines has a mean annual banana consumption of 9.9 kilograms. Assume the population standard deviation is 2.1 kilograms.

The speed of cars driving past Johnson City High School, on 666 Reynolds Rd, were recorded over one school year. The speed limit on that part of Reynolds Rd is 20 mph. The mean of the speed readings was 24.19 mph, with a standard deviation of 3.56 mph.

An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 90 days in each region. The mean wind speed in Region A is 13.7 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.2 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H, and Ha What is the claim? O A. The wind speed in Region A is less than the wind speed in Region B. O B. The wind speed in Region A is not less than the wind speed in Region B. O C. The wind speed in Region A is not greater than the wind speed in Region B. O D. The wind speed in Region A is the same as the wind speed in Region B. Let…

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 ​adults, how many consume at least 320 mg of caffeine​ daily?