For each of the following problems, (a) identify the population parameter of interest, (b) define the random variable, and (c) state appropriate null and alternative hypotheses

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For each of the following problems, (a) identify the population parameter of interest, (b) define the random variable, and (c) state appropriate null and alternative hypotheses.

1.    General Electric has developed a new bulb whose design specifications call for a light output to average 960 lumens.  From a sample of 20 new bulbs, the testing committee found a mean light output of 954 lumens.  Specify the null and alternative hypotheses General Electric would use to determine whether its new bulb is producing the specified mean light output of 960 lumens?

2. Rick Douglas, the new manager of Food Barn, is interested in the percentage of customers who state, when surveyed, that they are satisfied with the store.  The previous manager found that 86 percent of the customers at the time were satisfied.  Rick claims the proportion of satisfied customers is the same today.  Rick sampled 187 customers and found 157 expressed satisfaction.  At the 1 percent level of significance, is there sufficient evidence that refute Rick’s claim?

 

3. From a total of 10,200 loans made by a state employee’s credit union in the most recent five year period, 350 were sampled to determine what proportion were made to women.  This sample showed that 39 percent of the loans were made to women employees.  A complete census of loans 5 years ago showed that 41 percent of borrowers at that time were women.  At the 2% level, has the proportion of loans made to women changed significantly in the past 5 years? 

    • 9 years ago
    For each of the following problems, (a) identify the population parameter of interest, (b) define the random variable, and (c) state appropriate null and alternative hypotheses
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