Acar battery has a range that follows an approximately Normal distribution with mean 700 km and standard deviation 44 km. For a random sample of 31 batteries, the average range is found to be 690 km. Test the hypothesis u= 700 km again H#700 km by using the P-value of the test (assume o = 0.05). [Refer to appropriate distribution table if needed.] O A. Testvalue: -1.27, P-value: 0.103, Test result: Reject Ho OB. Testvalue: 1.27, P-value: 0.103, Test result: Reject Ho OC. Testvalue: 1.27, P-value: 0.206, Test result: Do not reject Ho OD. Test value: - 1.27, P-value: 0.206, Test result: Do not reject Ho
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![Acar battery has a range that follows an approximately Normal distribution with mean 700 km and standard deviation 44 km. For a random sample of 31 batteries, the average range is found to be 690 km. Test the hypothesis u= 700 km against
H#700 km by using the P-value of the test (assume a= 0.05). [Refer to appropriate distribution table if needed.]
O A. Test value: - 1.27, P-value: 0.103, Test result: Reject Ho
OB. Test value: 1.27, P-value: 0.103, Test result: Reject Hn
OC. Test value: 1.27, P-value: 0.206, Test result: Do not reject Hn
OD. Test value: - 1.27, P-value: 0.206, Test result: Do not reject Ho](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b505f38-e799-4373-8cd7-b624108df5f1%2F55e0e6c1-4606-41e7-ac79-7e36262d5fc6%2F7b4jk9m_processed.png&w=3840&q=75)
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