(a) Find the mean and the standard deviation of this sample. Use at least three decimal places in each answer. X= = S= empty seats empty seats (b) To construct a confidence interval for the mean number of unoccupied seats on all flights that use 737s, what condition must you hold? A. That the number of unoccupied seats are normally distributed. B. One does not need to assume the number of unoccupied seats are normally distributed, because the sample size is sufficiently large. C. The number of unoccupied seats are not normally distributed. D. The number of unoccupied seats can be modeled by the Binomial distribution. (c) Find a 96% confidence interval for the mean number of empty seats on this airline's flights that use 737s. Use at least three decimal points for your lower and upper bounds. Lower Bound= Upper Bound H empty seats empty seats

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 1CYU
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Question
K
A certain airline wishes to estimate the mean number of seats that are empty on flights that use 737-airplanes. There are 189 seats on a 737. To do so, the airline randomly picks
n = 33 flights. For each flight, the number of empty seats is counted. The data are given below.
47, 44, 35, 45, 53, 49, 45, 48, 41, 42, 43, 47, 54, 47, 45, 43, 43, 42, 41, 37, 62, 46, 44, 41, 50, 38, 38, 40, 37, 40, 47, 47, 53
Data from the sample, are saved in the Download .csv file.
Distribution of Empty Seats
Frequency
OL
A
9
4
2
0
24
35
45
50
Number of Unoccupied Seats
60
65
Transcribed Image Text:K A certain airline wishes to estimate the mean number of seats that are empty on flights that use 737-airplanes. There are 189 seats on a 737. To do so, the airline randomly picks n = 33 flights. For each flight, the number of empty seats is counted. The data are given below. 47, 44, 35, 45, 53, 49, 45, 48, 41, 42, 43, 47, 54, 47, 45, 43, 43, 42, 41, 37, 62, 46, 44, 41, 50, 38, 38, 40, 37, 40, 47, 47, 53 Data from the sample, are saved in the Download .csv file. Distribution of Empty Seats Frequency OL A 9 4 2 0 24 35 45 50 Number of Unoccupied Seats 60 65
(a) Find the mean and the standard deviation of this sample. Use at least three decimal places in each answer.
X
-
S =
empty seats
empty seats
(b) To construct a confidence interval for the mean number of unoccupied seats on all flights that use 737s, what condition must you hold?
O A. That the number of unoccupied seats are normally distributed.
O B. One does not need to assume the number of unoccupied seats are normally distributed, because the sample size is sufficiently large.
C. The number of unoccupied seats are not normally distributed.
D. The number of unoccupied seats can be modeled by the Binomial distribution.
(c) Find a 96% confidence interval for the mean number of empty seats on this airline's flights that use 737s. Use at least three decimal points for your lower and upper bounds.
Lower Bound
Upper Bound=
empty seats
empty seats
Transcribed Image Text:(a) Find the mean and the standard deviation of this sample. Use at least three decimal places in each answer. X - S = empty seats empty seats (b) To construct a confidence interval for the mean number of unoccupied seats on all flights that use 737s, what condition must you hold? O A. That the number of unoccupied seats are normally distributed. O B. One does not need to assume the number of unoccupied seats are normally distributed, because the sample size is sufficiently large. C. The number of unoccupied seats are not normally distributed. D. The number of unoccupied seats can be modeled by the Binomial distribution. (c) Find a 96% confidence interval for the mean number of empty seats on this airline's flights that use 737s. Use at least three decimal points for your lower and upper bounds. Lower Bound Upper Bound= empty seats empty seats
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