R-assignment (with part 1 and 2)
cadmium, a heavy metal, is toxic to animals. mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. the czech and slovac governments have set a safety limit for cadmium in dry vegetables at 0.5 part per million (ppm). m. melgar et al. measured the cadmium levels in a random sample size 12 of the edible mushroom boletus pinicola and published the results in the paper "influence of some factors in toxicity and accumulation of cd from edible wild macrofungi in nw spain". here are the data: 0.24, 0.59, 0.62, 0.16, 0.77, 1.33, 0.92, 0.19, 0.33, 0.25, 0.59, 0.32 at the 5% significance level do the data provide sufficient evidence to conclude that the mean cadmium level in boletus pinicola mushrooms differ than the government’s limit of 0.5 ppm?
1) assume that population standard deviation is known and equal to 0.37 ppm and so apply one mean-z test through r.
2) assume that population standard deviation is unknown and sample standard deviation must be used as an estimate to population standard deviation and so apply one mean-t test through r.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

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