A florist says that 85% of all orders sold for Valentine's Day are for roses. Consider a random sample of 150 orders for Valentine's Day flowers taken in a city with well over 3000 Valentine's Day flower orders. A) Verify that the three conditions of the Central Limit Theorem are met. B) The Central Limit Theorem states that if the conditions hold, the sampling distribution for p is approximately normal. Express your answers in decimal form. 1) The mean of this distribution is_ 2) The standard error is. C) Draw the Normal model on your paper for the sampling distribution of p. Be sure to include the mean, the mean ±1, 2, and 3 standard errors, as well as a title for your horizontal axis. D) What is the probability that more than 90% of Valentine's Day orders are for roses?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A florist says that 85% of all orders sold for Valentine's Day are for roses.
Consider a random sample of 150 orders for Valentine's Day flowers taken in
a city with well over 3000 Valentine's Day flower orders.
A) Verify that the three conditions of the Central Limit Theorem are met.
B) The Central Limit Theorem states that if the conditions hold, the sampling
distribution for p is approximately normal. Express your answers in decimal
form.
1) The mean of this distribution is_
2) The standard error is.
C) Draw the Normal model on your paper for the sampling distribution of p.
Be sure to include the mean, the mean ±1, 2, and 3 standard errors, as well
as a title for your horizontal axis.
D) What is the probability that more than 90% of Valentine's Day orders are
for roses?
Transcribed Image Text:A florist says that 85% of all orders sold for Valentine's Day are for roses. Consider a random sample of 150 orders for Valentine's Day flowers taken in a city with well over 3000 Valentine's Day flower orders. A) Verify that the three conditions of the Central Limit Theorem are met. B) The Central Limit Theorem states that if the conditions hold, the sampling distribution for p is approximately normal. Express your answers in decimal form. 1) The mean of this distribution is_ 2) The standard error is. C) Draw the Normal model on your paper for the sampling distribution of p. Be sure to include the mean, the mean ±1, 2, and 3 standard errors, as well as a title for your horizontal axis. D) What is the probability that more than 90% of Valentine's Day orders are for roses?
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