The mean weight for a part made using a new production process is 2.09 pounds. assume that a normal distribution applies and that the standard deviation is 0.21 pounds. Based on this paragraph of text, use the correct excel output above to answer the following question. Find the probability that weight for a part made using the new production process is less than 1.61 or greater than 2.53 pounds

2.89% probability that weight for a part made using the new production process is less than 1.61 or greater than 2.53 pounds

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 probability that weight for a part made using the new production process is less than 1.61 or greater than 2.53 pounds

Less than 1.61

This is the pvalue of Z when X = 1.61. So

has a pvalue of 0.0110

Greater than 2.53

1 subtracted by the pvalue of Z when X = 2.53.

has a pvalue of  0.9821

1 - 0.9821 = 0.0179

Less than 1.61 or greater than 2.53 pounds

0.0110 + 0.0179 = 0.0289

2.89% probability that weight for a part made using the new production process is less than 1.61 or greater than 2.53 pounds