State the null and alternative hypotheses for the following statement and the type of test being performed. A tire manufacturer advertises that the average lifetime is at least 42,000 miles. A consumer test agency claims that the mean lifetime of a brand of tires is less than 42,000 miles.

For the following identify and justify the approach you would use. Be sure to include the appropriate null and alternate hypothesis for the test. Consider all tests evaluated this term. You do not have to do the computation and provide an answer but you do have to provide the exact test and a justification. a. The number of chirps per minute emitted by crickets was measured at several temperatures. The mean number of chirps from three crickets is provided below. Is the number of chirps related to temperature? How would you describe that relationship mathematically? Identify the independent and dependent variables and the approach you would use with regards to statistical analysis. Temp (◦C) 20 22 24 25 27 29 30 Chirps (chirps/min) 112 118 140 155 160 179 199 b. A poker-dealing machine is supposed to deal cards at random, as if from an infinite deck. In a test, you counted 1600 cards, and observed the following: Spades 404 Hearts 420 Diamonds 400 Clubs 376 Could it be that the suits are…

LSU's Ag. Center wants to determine whether the mean yield for sugarcane is different this year compared to the historical avg of 8,700 lbs of sugar per acre. Thus, the null and alternative hypotheses are       Ho: mu = 8,700     Ha: mu is not = to 8,700 You set out to conduct a hypothesis test at the 95% level. Mean yields are distributed Normally. You take a sample of 100 different acres. From this sample, you calculate a mean yield of 8,853 and a std deviation of 1,150.  What are the bounds for the acceptance region for this hypothesis test?   Group of answer choices -1.64 to 1.64 -2.58 to 2.58 -1.33 to 1.33 -1.96 and 1.96

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