An employment information service claims the mean annual salary for senior level product engineers is $97,000.The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At α=0.01, test the claim that the mean salary is $97,000. Complete parts (a) through (e) below. Assume the population is normally distributed. Annual Salaries: 100,581 96,242 93,539 112,657 82,569 74,152 76,950 80,943 102,375 76,134 103,984 104,077 91,100 82,131 85,136 110,416 (a) Identify the claim and state H0 and Ha. H0: Ha: (Type integers or decimals. Do not round.) The claim is the________hypothesis
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!
| An employment information service claims the senior level product engineers are shown in the table to the right. At α=0.01, test the claim that the mean salary is $97,000.
|
96,242
93,539
112,657
82,569
74,152
76,950
80,943
102,375
76,134
103,984
104,077
91,100
82,131
85,136
110,416
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