(a)State the null hypothesis H0 and the alternative hypothesis H1.H0:H1:(b)Determine the type of test statistic to use. ▼(Choose one) (c)Find the value of the test statistic. (Round to three or more decimal places.) (d)Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.) (e)Can we support the claim that the mean completion time of Fundash is greater than the mean completion time of Coolsprint? Yes No An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of thecourses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 260 Fundashrunners and 245 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 260 Fundash runnerscomplete the course with a mean time of 78.2 minutes and a standard deviation of 8.3 minutes. The 245 individuals complete Coolsprint with a mean time of76.7 minutes and a standard deviation of 7.7 minutes. Assume that the population standard deviations of the completion times can be estimated to be thesample standard deviations, since the samples that are used to compute them are quite large. At the 0.10 level of significance, is there enough evidence tosupport the claim that the mean completion time, µ1, of Fundash is greater than the mean completion time, h, of Coolsprint? Perform a one-tailed test. Thencomplete the parts below.Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)

From the given information, n1 = 260 X¯1=78.2 S1 = 8.3 n2 = 245 X¯2=76.7 S2 = 7.7 α = 0.10 a) From…

Answered: An adventure company runs two obstacle…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

(a)	State the null hypothesis H0 and the alternative hypothesis H1 .
H0:
H1:
(b)	Determine the type of test statistic to use.
	▼(Choose one)
(c)	Find the value of the test statistic. (Round to three or more decimal places.)

(d)	Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.)

(e)	Can we support the claim that the mean completion time of Fundash is greater than the mean completion time of Coolsprint?
Yes No

An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the
courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 260 Fundash
runners and 245 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 260 Fundash runners
complete the course with a mean time of 78.2 minutes and a standard deviation of 8.3 minutes. The 245 individuals complete Coolsprint with a mean time of
76.7 minutes and a standard deviation of 7.7 minutes. Assume that the population standard deviations of the completion times can be estimated to be the
sample standard deviations, since the samples that are used to compute them are quite large. At the 0.10 level of significance, is there enough evidence to
support the claim that the mean completion time, µ1, of Fundash is greater than the mean completion time, h, of Coolsprint? Perform a one-tailed test. Then
complete the parts below.
Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)

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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