1) A manager randomly samples 60 containers of juice. The manager is concerned that the containers may be filled to an amount different from 30 ounces.

a) Develop a suitable null and alternate hypothesis.

b) How can the manager make a Type I error?

c) How can the manager make a Type II error?

d) Will the hypothesis test procedure prove that the containers are filled to an amount different from 30 ounces?

2) A movie theatre complex will raise its ticket price if the average ticket price of theatres in Southern California exceeds $7.50. A random sample of 36 theatres resulted in a mean of $7.80. The population standard deviation is $1.00. What conclusion can be made at the 10% significance level? How about at the 5% significance level?

3) The producer of a snack food claims that each package weighs 175 grams. A representative of a consumer advocate group selected a random sample of 70 packages. From this sample, the mean is 172 grams; the population standard deviation is 8 grams. Find and interpret the p value for testing that the mean weight of the snack food is less than 175 grams.

4) In an effort to control cost, a quality control manager is interested in whether the mean number of ounces of sauce dispensed by bottle filling machines differs from 16 ounces. From the bottling process, the manager collects the following measurements:

16.3, 16.2, 15.8, 15.4, 16.0, 15.6, 15.5, 16.1, 15.9, 16.1

Test at a .05 significance level that the bottle filling machines need adjusting.

a) Develop a suitable null and alternate hypothesis.

b) How can the manager make a Type I error?

c) How can the manager make a Type II error?

d) Will the hypothesis test procedure prove that the containers are filled to an amount different from 30 ounces?

2) A movie theatre complex will raise its ticket price if the average ticket price of theatres in Southern California exceeds $7.50. A random sample of 36 theatres resulted in a mean of $7.80. The population standard deviation is $1.00. What conclusion can be made at the 10% significance level? How about at the 5% significance level?

3) The producer of a snack food claims that each package weighs 175 grams. A representative of a consumer advocate group selected a random sample of 70 packages. From this sample, the mean is 172 grams; the population standard deviation is 8 grams. Find and interpret the p value for testing that the mean weight of the snack food is less than 175 grams.

4) In an effort to control cost, a quality control manager is interested in whether the mean number of ounces of sauce dispensed by bottle filling machines differs from 16 ounces. From the bottling process, the manager collects the following measurements:

16.3, 16.2, 15.8, 15.4, 16.0, 15.6, 15.5, 16.1, 15.9, 16.1

Test at a .05 significance level that the bottle filling machines need adjusting.

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