An online retailer claims that 90% of all orders are shipped within 12 hours ofbeing received. A consumer group placed 121 orders of different sizes and atdifferent times of days; 102 orders were shipped within 12 hours.a. Compute the sample proportion of items shipped within 12 hours.b. Confirm that the sample is large enough to assume that the sample proportionis normally distributed. Use p = 0.90, corresponding to the assumption that theretailer’s claim is valid. An online retailer claims that 90% of all orders are shipped within 12 hours ofbeing received. A consumer group placed 121 orders of different sizes and atdifferent times of days; 102a. Compute the sample proportion of items shippedb. Confirm that the sample is large enough to assume that the sample proportionis normally distributed. Use p = 0.90, corresponding to the assumption that theretailer's claim is valid.orders were shipped within 12 hours.within 12 hours.

We have given that n=121 , X=102 p=90%=0.90

An online retailer claims that 90% of all orders are shipped within 12 hours of being received. A consumer group placed 121 orders of different sizes and at different times of days; 102 a. Compute the sample proportion of items shipped b. Confirm that the sample is large enough to assume that the sample proportion is normally distributed. Use p = 0.90, corresponding to the assumption that the retailer's claim is valid. orders were shipped within 12 hours. within 12 hours.

An online retailer claims that 90% of all orders are shipped within 12 hours of being received. A consumer group placed 121 orders of different sizes and at different times of days; 102 a. Compute the sample proportion of items shipped b. Confirm that the sample is large enough to assume that the sample proportion is normally distributed. Use p = 0.90, corresponding to the assumption that the retailer's claim is valid. orders were shipped within 12 hours. within 12 hours.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Question

An online retailer claims that 90% of all orders are shipped within 12 hours of
being received. A consumer group placed 121 orders of different sizes and at
different times of days; 102 orders were shipped within 12 hours.
a. Compute the sample proportion of items shipped within 12 hours.
b. Confirm that the sample is large enough to assume that the sample proportion
is normally distributed. Use p = 0.90, corresponding to the assumption that the
retailer’s claim is valid.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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