On your first day on the job, your boss asks you to conduct ahypothesis test about the mean dwell time of a new type of UAV.Before you arrived, an experiment was conducted on n = 5 UAVs (allof the new type) resulting in a sample mean dwell time of (y bar)=10.4 ℎours. The goal is to conclusively demonstrate, if possible,that the data supports the manufacturer’s claim that the mean dwelltime is greater than 10 hours. Given that it is reasonable toassume the dwell times are normally distributed, the samplestandard deviation is s = 0.5 ℎours, and using a significance levelof alpha = 0.01, conduct the appropriate hypothesis test

Part A. Parameter of interest: From the problem context,identify the parameter of interest.

Part B Null hypothesis, H0: State the null hypothesis, H0 interms of the parameter of interest H0:

Part C Alternative hypothesis, H1: Specify an appropriatealternative hypothesis, H1. H1:

Part D Test Statistic: Determine an appropriate test statistic(equation; state degrees if freedom if necessary).

Part E Reject H0 if: State the rejection criteria for the nullhypothesis for the given level of α. OS3180 Probability andStatistics Final Exam Quarter 3 AY19 9

Part F Computations: Compute any necessary sample quantities,substitute these into the equations for the test statistic, andcompute that value. Perform P-Value calculations.

Part G Draw conclusions: Decide whether or not H0 should berejected and report that in the problem context. Make a“real-world” statement about the outcome of the test (cannot justsay “reject the null hypothesis”)

Part H Provide an illustration of the hypothesis test youconducted above, making sure that you annotate: the confidencelevel, the significance level, the test statistic, the criticalvalue, and the p-value.