Nestor Milk Powder is sold in packets with an advertised mean weight of 1.5kgs. The standard deviation is known to be 184 grams. A consumer group wishes to check the accuracy of the advertised mean and takes a sample of 52 packets finding an average weight of 1.49kgs. What is the set of hypotheses that should be used to test the accuracy of advertised weight? O Ho : ã = 1. 5 Ha : a + 1.5 O Họ : µ = 1. 5 H : μ< 1.5 O Ho : a = 1. 5 Ha : ã < 1. 5 Ho : μ- 1.5 H : μ4 1.5
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!
![Nestor Milk Powder is sold in packets with an advertised mean weight of 1.5kgs. The
standard deviation is known to be 184 grams. A consumer group wishes to check the
accuracy of the advertised mean and takes a sample of 52 packets finding an average
weight of 1.49kgs. What is the set of hypotheses that should be used to test the
accuracy of advertised weight?
Ho : a
Ha : a + 1.5
1.5
O Ho : µ = 1. 5
Ha: μ < 1.5
O Ho : = 1. 5
Ha : ã < 1. 5
O Ho : µ = 1.5
H : μ+ 1.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54668d9f-2544-4647-bdb3-4c848cd7965e%2F7c58878d-69fc-4224-a5f4-0b7721f14c4a%2F8izdm2w_processed.png&w=3840&q=75)
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