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=0.10, 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 ,670 96 ,364 93 ,584 112 ,607 82 ,526 74 ,227 77 ,037 80 ,922 102 ,527 76 ,219 104 ,083 103 ,988 91 ,018 82 ,019 85 ,096 110 ,371 The standardized test statistic is t= The critical value(s) is/are t0=
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!
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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=0.10,
test the claim that the mean salary is
$97,000.
Complete parts (a) through (e) below. Assume the population is normally distributed. |
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Annual Salaries
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100
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,670
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96
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,364
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93
|
,584
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112
|
,607
|
|
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82
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,526
|
74
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,227
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77
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,037
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80
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,922
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102
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,527
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76
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,219
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104
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,083
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103
|
,988
|
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91
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,018
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82
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,019
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85
|
,096
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110
|
,371
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The standardized test statistic is t=
The critical value(s) is/are t0=
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