Answered: Last year a company received 50…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 25PFA

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Last year a company received 50 complaints concerning carpet installation. The data in the accompanying table represents the number of days between the receipt of a complaint and the resolution of the complaint.

Days between receipt and resolution of complaint
49	64	9	33	136	31	24	155	5	118
73	78	21	22	19	115	113	106	22	87
85	40	25	23	10	11	6	160	34	30
29	28	22	1	10	12	17	10	14	18
29	52	35	24	35	28	27	22	38	60

The supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is 40 days. At the 0.10 level of significance, is there evidence that the claim is not true (that is, that the mean number of days is different from 40)?

State the null and alternative hypotheses.

H0:

H1:

Determine the test statistic.

The test statistic is ___. (Round to four decimal places as needed.)

Find the p-value.

p-value=___ (Round to four decimal places as needed.)

State the conclusion

___A___ H0. There is __B__ evidence to conclude that the mean number of days is different from 40.

A: Do not reject or reject

B: insufficient or suffcient

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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