The average manufacturing work week in metropolitan Chattano

The average manufacturing work week in metropolitan Chattanooga was 40.1 hours last year. It is believed that the recession has led to a reduction in the average work week. Formulate the and the alternative hypothesis to test the validity of this belief. The average monthly rent for one-bedroom apartments in down town Fargo has been $700. Because of the downturn in the real estate market, it is believed that there has been a decrease in the average rental. Formulate correct hypotheses to be tested. The average hourly wage of computer programmers with 2 years of experience has been $21 80 Because of high demand for computer programmers, it is believed there has been a significant increase in the average wage of computer programmers. Formulate hypotheses to test whether or not there has been an increase of average hourly wage. Austin\'s company manufactures test tubes. He needs his tubes to be exactly 4 mm in diameter. If they are too narrow or too wide, he must recalibrate his machine. Austin randomly measured 150 tubes off the production line on order to perform a hypothesis test. Set up the hypotheses for Austin\'s test. A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. Any over filling or under filling results in the shutdown and readjustment of the machine. Set up the hypotheses needed to determine whether or not the machine is properly adjusted.

Solution

3.

As the belief is that the the wage increased, we use > for Ha. Thus,

Ho: u <= $21.80

Ha: u > $21.80

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4.

As the problem needs to be exactly 4, then this is a two tailed test. Therefore,

Ho: u = 4 mm
Ha: u=/= 4 mm [ANSWER]

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5.

Again, overfilling and underfilling is avoided, so this is a two tailed test. Thus,

Ho: u = 12 oz
Ha: u =/= 12 oz [ANSWER]

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