Test the claim about the populationmean, , at the given level of significance using the given sample statistics.

Claim: 6000; =0.03; =352. Samplestatistics: x=5700, n=

A) Identify the null and alternative hypotheses.

B) Calculate the standardized test statistic.

The standardized test statistic is

C) Determine the criticalvalue(s).

D) Determine the outcome and conclusion of the test. Choose the correct answer below.

3. A company that makes cola drinks states that the mean caffeine content per12-ounce bottle of cola is 40 milligrams. You want to test this claim. During yourtests, you find that a random sample of thirty12-ounce bottles of cola has a mean caffeine content of 38.6 milligrams. Assume the population is normally distributed and the population standard deviation is 7.6 milligrams. At =0.10, can you reject thecompany's claim? Complete parts(a) through(e).

(a) Identify H0 and Ha.

(b) Find the criticalvalue(s). Select the correct choice below and fill in the answer box within your choice.

Identify the rejectionregion(s). Choose the correct answer below.

(c) Find the standardized test statistic.

(d) Decide whether to reject or fail to reject the null hypothesis.

(e) Interpret the decision in the context of the original claim.

4. A company claims that the mean monthly residential electricity consumption in a certain region is more than 870 kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of 64 residential customers has a mean monthly consumption of 890 kWh. Assume the population standard deviation is 127 kWh. At =0.01, can you support theclaim? Complete parts(a) through(e).

(a) Identify H0 and Ha.

(b) Find the criticalvalue(s) and identify the rejectionregion(s). Select the correct choice below and fill in the answer box within your choice. Use technology.

Identify the rejectionregion(s). Select the correct choice below.

(c) Find the standardized test statistic. Use technology.

The standardized test statistic is z=

(d) Decide whether to reject or fail to reject the null hypothesis.

(e) Interpret the decision in the context of the original claim.

5. A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 917 milligrams. A random sample of 35 breakfast sandwiches has a mean sodium content of 904 milligrams. Assume the population standard deviation is 25 milligrams. At =0.01, do you have enough evidence to reject therestaurant's claim? Complete parts(a) through(e).

(a) Identify the null hypothesis and alternative hypothesis.

(b) Identify the criticalvalue(s). Use technology.

z0=

Identify the rejectionregion(s). Select the correct choice below.

c) Identify the standardized test statistic. Use technology.

z=

(d) Decide whether to reject or fail to reject the nullhypothesis,

(e) interpret the decision in the context of the original claim.

6. A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 746 hours. A random sample of 22 light bulbs has a mean life of 735 hours. Assume the population is normally distributed and the population standard deviation is 59 hours. At =0.08, do you have enough evidence to reject themanufacturer's claim? Complete parts(a) through(e).

(a) Identify the null hypothesis and alternative hypothesis.

(b) Identify the criticalvalue(s). Use technology.

z0=

Identify the rejectionregion(s). Choose the correct answer below.

(c) Identify the standardized test statistic. Use technology.

z=

(d) Decide whether to reject or fail to reject the nullhypothesis,

(e) interpret the decision in the context of the original claim.