A machine being used for packaging seedless golden raisins has been set so that on average, 15 ounces of raisins will be packaged per box. The quality control engineer wishes to test the machine setting and selects a sample of 30 consecutive raisin packages filled during the production process. Their weights in ounces are recorded as follows: 15.2 15.5 15.2 15.8 15.3 15.0 15.3 14.5 14.8 14.6
15.0 15.2 15.8 15.9 15.6 15.4 15.7 159 15.4 15.1
152 15.5 15.6 15 815.7 159 156 15.3 15.1 15.2
Basins. csv
Assume the observed sequence in which the data were collected is random and the population is normally distributed. To detemine if there is any evidence that the mean weight per box is different from 15 ounces at a level of significance alpha = 0.05, a hypothesis test can be performed.
A. State null hypothesis.
B. This is atail test.
C. Sample mean barX(2DP), sample standard deviation S =(4DP), and standard error of the mean =.
D. The test statistic =.(4DP).
E. The critical value =(4DP).

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step-by-step explanation:

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

answer: 270

step-by-step explanation:

you have to times 200 by 1.35 to get your answer