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The weight of an orange follows a normal distribution with mean 4.0 oz and standard deviation 1.0 oz.
a) Find the probability that a randomly selected orange has weight less than 3.7 oz.
b) Find the probability that the mean weight of 100 oranges is less than 3.7 oz.
c) If you sample 100 oranges and find that sample mean weight to be 3.7 oz, would you doubt the statement that the orange comes from the population with mean weight of 4.0 oz and standard deviation of 1.0 oz? Justify your answer.
Suppose that your sample mean is 1175 and that your sample standard deviation is 100. Using α=0.05, what is the appropriate conclusion you should draw from your sample?
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Do the data indicate that the sleeping pill is effective at a 1% level of significance?
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If 28% of the residents play poker and garden and 70% of the residents play both shuffleboard and poker, then find the probability that a resident plays poker, given that they garden.
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Mean output of solar cells of three types are measured six times under random light intensity over a period of 5 minutes, yielding the results shown. Research Question: Is the mean solar cell output the same for all cell types?
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