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cheyennegolden6621
25.12.2020 •
Mathematics
n automobile manufacturer claims that its van has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 280 vans, they found a mean MPG of 37.8. Assume the standard deviation is known to be 2.3. A level of significance of 0.05 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.
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Ответ:
Then z(s) is out of the acceptance region, we reject H₀, doubts of the independent testing firm are valids
Step-by-step explanation:
We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out if there is an incorrect MPG rating from the manufacturer
Test Hypothesis :
Null hypothesis H₀ μ = μ₀
Alternative Hypothesis Hₐ μ ≠ μ₀
Significance Level α = 0,05 α/2 = 0,025
z(c) for α/2 from z-table z(c) = - 1, 96 and by symmetry z(c) = 1,96
Calculating z(s)
z(s) = ( μ - μ₀ ) / σ /√n
z(s) = ( 37,8 - 37,4 ) / 2,3 /√280
z(s) = 0,4 * 16,73 / 2,3
z(s) = 2,90
Comparison between z(c) and z(s)
z(s) > z(c) 2,90 > 1,96
Then z(s) is out of the acceptance region, we reject H₀, doubts of the independent testing firm are valids
Ответ:
9514 1404 393
39.375 : 65.625
Step-by-step explanation:
The meaning of "reduce" in this context is unclear. We assume you want to divide the quantity 105 into parts that have a ratio of 3 : 5. Then the smaller part will be 3/(3+5) = 3/8 of the total; the larger part will be 5/8 of the total.
3/8 × 105 = 39 3/8
5/8 × 105 = 65 5/8
The divided quantities are ...
39.375 : 65.625