Rhys is a quality control manager at a facility that manufactures snack foods. He is interested in the number of whole mini-pretzels that are in the 10 oz bags in the latest lot produced. Rhys selects 24 bags of mini-pretzels at random from the latest lot and counts the number of pretzels in each bag. The results of Rhys's sample are provided in the table below.
159 | 157 | 160 | 158 | 156 | 160 | 159 | 161
157 | 160 | 157 | 158 | 156 | 159 | 156 | 155
157 | 158 | 159 | 157 | 158 | 156 | 158 | 160
Of 1,000 rerandomizations of the data values in the sample, 2.5% of the resulting sample means are less than 157.33, 5% are less than 157.42, 10% are less than 157.54, 50% are less than 157.98, 90% are less than 158.33, 95% are less than 158.46, and 97.5% are less than 158.54.
What is a reasonable estimate for the margin of error that you would expect to contain the means for about 90% of all rerandomizations for these 24 values?
A) 157.54 to 158.33 <--- my answer
B) 157.33 to 158.54
C) 157.42 to 158.46
D) 0 to 158.33
I dont understand this at all and feel like my answer is wrong. Can someone please explain how to properly solve this
1 answer