Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoccupied seats per flight over the past year. To accomplish this, the records of 250 flights are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean is 11.5 seats and the sample standard deviation is 4.2 seats.NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)Part (a)(i) Enter an exact number as an integer, fraction, or decimal.x = (ii) Enter an exact number as an integer, fraction, or decimal.sx = (iii) Enter an exact number as an integer, fraction, or decimal.n = (iv) Enter an exact number as an integer, fraction, or decimal.n − 1 = BWhich distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)onstruct a 92% confidence interval for the population mean number of unoccupied seats per flight.(i) State the confidence interval. (Round your answers to two decimal places.) , (ii) Sketch the graph. (iii) Calculate the error bound. (Round your answer to two decimal places.)

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

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ISBN:9780079039897

Author:Carter

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Chapter10: Statistics

Section10.4: Distributions Of Data

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Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoccupied seats per flight over the past year. To accomplish this, the records of 250 flights are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean is 11.5 seats and the sample standard deviation is 4.2 seats.

NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Part (a)

(i) Enter an exact number as an integer, fraction, or decimal.

x =

(ii) Enter an exact number as an integer, fraction, or decimal.

s_x =

(iii) Enter an exact number as an integer, fraction, or decimal.

n =

(iv) Enter an exact number as an integer, fraction, or decimal.

n − 1 =

BWhich distribution should you use for this problem? (Enter your answer in the form z or t_df where df is the degrees of freedom.)

onstruct a 92% confidence interval for the population mean number of unoccupied seats per flight.
(i) State the confidence interval. (Round your answers to two decimal places.)

,

(ii) Sketch the graph.

(iii) Calculate the error bound. (Round your answer to two decimal places.)

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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