Museum membership A museum offers several levelsof membership, as shown in the table.a) Find the mean and standard deviation of the donations.b) During their annual membership drive, they hope tosign up 50 new members each day. Would you expectthe distribution of the donations for a day to follow aNormal model? Explain.c) Consider the mean donation of the 50 new memberseach day. Describe the sampling model for thesemeans (shape, center, and spread). MemberCategoryAmount ofDonation ($)Percent ofMembersIndividual 50 41Family 100 37Sponsor 250 14Patron 500 7Benefactor 1000 1
Museum membership A museum offers several levelsof membership, as shown in the table.a) Find the mean and standard deviation of the donations.b) During their annual membership drive, they hope tosign up 50 new members each day. Would you expectthe distribution of the donations for a day to follow aNormal model? Explain.c) Consider the mean donation of the 50 new memberseach day. Describe the sampling model for thesemeans (shape, center, and spread). MemberCategoryAmount ofDonation ($)Percent ofMembersIndividual 50 41Family 100 37Sponsor 250 14Patron 500 7Benefactor 1000 1
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 7E
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Question
Museum membership A museum offers several levels
of membership, as shown in the table.a) Find the mean and standard deviation of the donations.
b) During their annual membership drive, they hope to
sign up 50 new members each day. Would you expect
the distribution of the donations for a day to follow a
Normal model? Explain.
c) Consider the mean donation of the 50 new members
each day. Describe the sampling model for these
means (shape, center, and spread).
Member
Category
Amount of
Donation ($)
Percent of
Members
Individual 50 41
Family 100 37
Sponsor 250 14
Patron 500 7
Benefactor 1000 1
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