Cross stitch is a needlecraft that merges sewing and embroidery using x- shaped stitches to form a pattern. According to a crafter at Malaysia art exhibition, a large (2 x 2 meters) cross stitch typically takes at least 31 months to stitch. The average amount of time spent by a group of 16 cross stitch crafters to complete one was 25 months, with a standard deviation of 7.2 months.
Cross stitch is a needlecraft that merges sewing and embroidery using x- shaped stitches to form a pattern. According to a crafter at Malaysia art exhibition, a large (2 x 2 meters) cross stitch typically takes at least 31 months to stitch. The average amount of time spent by a group of 16 cross stitch crafters to complete one was 25 months, with a standard deviation of 7.2 months.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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Question
![5. Cross stitch is a needlecraft that merges sewing and embroidery using x-
shaped stitches to form a pattern. According to a crafter at Malaysia art
exhibition, a large (2 x 2 meters) cross stitch typically takes at least 31 months
to stitch. The average amount of time spent by a group of 16 cross stitch
crafters to complete one was 25 months, with a standard deviation of 7.2
months.
a) Examine the crafter's claim by using a 2.5% significance level. Assume that
the time taken to finish a cross stitch is normally distributed for all cross stitch
crafters. [CO3, C4]
b) Describe the Type I error in part a). Present the probability of creating this
error. [CO2, A3 & A2]
c) Discuss your decision of part (a) if the probability of creating a Type I error
is 0.001. [CO3, C2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6d1e984-ade5-4e7c-9cc2-4c714be55a8c%2F42c78836-1982-4fcd-877f-986631f046a0%2Ft48m7j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Cross stitch is a needlecraft that merges sewing and embroidery using x-
shaped stitches to form a pattern. According to a crafter at Malaysia art
exhibition, a large (2 x 2 meters) cross stitch typically takes at least 31 months
to stitch. The average amount of time spent by a group of 16 cross stitch
crafters to complete one was 25 months, with a standard deviation of 7.2
months.
a) Examine the crafter's claim by using a 2.5% significance level. Assume that
the time taken to finish a cross stitch is normally distributed for all cross stitch
crafters. [CO3, C4]
b) Describe the Type I error in part a). Present the probability of creating this
error. [CO2, A3 & A2]
c) Discuss your decision of part (a) if the probability of creating a Type I error
is 0.001. [CO3, C2]
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