A machine fills sugar boxes in such a way that the weights (in grams) are normally distributed with a mean of 2260 g and a standard deviation of 20 g. Another machine checks the weights and rejects packages in the bottom 1% of weights and the top 1% of weights. Find the the minimum and maximum acceptable weights. Answer using whole numbers and enter the bottom 1% value in blank 1 and the top 1% in blank 2.

Minimum acceptable weight: 2213g.

Maximum acceptable weight: 2307g.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X

In this problem, we have that:

Find the the minimum and maximum acceptable weights.

Minimum:

Bottom 1%, which is the value of X when Z has a pvalue of 0.01. So X when Z = -2.33.

The minimum acceptable weight is 2213g.

Maximum:

Top 1%, which is the value of X when Z has a pvalue of 1 - 0.01 = 0.99. So X when Z = 2.33.

The maximum acceptable weight is 2307g.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

41*67/2=1373.5

step-by-step explanation:

i just used a calculator