Solution Hypothesis Test Air A machine is designed to fill automobile tires to a mean air pressure of pounds per

Solution Hypothesis Test Air A machine is designed to fill automobile tires to a mean

machine is designed to fill automobile tires to a mean air pressure of pounds per square inch psi The manufacturer

Solution Hypothesis Test Air A machine is designed to fill automobile tires

to a mean air pressure of pounds per square inch psi The manufacturer

Solution Hypothesis Test Air A machine is designed to fill

Solution Hypothesis Test Air A

Category: | General |

Words: | 1050 |

Amount: | $12 |

Writer: |

Paper instructions

1 Hypothesis Test Air
1. A machine is designed to fill automobile tires to a mean air pressure of 30 pounds per square inch (psi). The manufacturer tests the machine on a random sample of 12 tires. The air pressures for these tires are shown below:
30.4 31.1 29.8 30.3 31.7 28.9 32.4 30.3 29.7 31.6 30.8 30.2
Fill pressures for the machine are known to follow a normal distribution with standard deviation 1.2 psi.
(a) Construct a 90% confidence interval for the true mean fill pressure for this machine. Round your answers to two decimal places.
(b) Provide an interpretation of the confidence interval in (a).
(c) Use JMP to conduct a hypothesis test at the 10% level of significance to determine whether the true mean fill pressure for the machine differs from 30 psi. Upload the ouput in your answer. JMP will give you the value of the test statistic and the P-value, but you will need to write out the hypotheses and conclusion.
(d) Provide an interpretation of the P-value of the test in (c).
(e) Could you have used the confidence interval in (a) to conduct the test in (c)? If no, explain why not. If yes, explain why, and explain what your conclusion would have been and why.
Hypothesis Test Water
2. The Environmental Protection Agency (EPA) warns communities when their tap water is contaminated with too much lead. Drinking water is considered unsafe if the mean concentration of lead is 15.1 parts per billion or greater. The EPA would like to conduct a hypothesis test at the 1% level of significance to determine whether there is significant evidence that the tap water in one particular community is safe. They randomly select 20 water samples from the community and calculate a mean lead concentration of 14.61 parts per billion. Lead concentrations in the community are known to follow a normal distribution wtih standard deviation 2.31 parts per billion.
(d) What is the appropriate conclusion for this test?
- Reject the null hypothesis. There is sufficient evidence that the water is safe.
-Fail to reject the null hypothesis. There is sufficient evidence that the water is unsafe.
-Reject the null hypothesis. There is insufficient evidence that the water is safe.
-Reject the null hypothesis. There is sufficient evidence that the water is unsafe.
-Fail to reject the null hypothesis. There is insufficient evidence that the water is unsafe.
-Fail to reject the null hypothesis. There is sufficient evidence that the water is safe.
-Reject the null hypothesis. There is insufficient evidence that the water is unsafe.
-Fail to reject the null hypothesis. There is insufficient evidence that the water is safe.

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