The amount of water usage at a water park for a random sample of 21 days yeilded sample mean of 245.2238 thousands gallons per day and sample standard deviation of  40.8096 thousand gallons per day. Is there any evidence, at the level of significance 0.01, to suggest that the mean water usage at this park is different from 250 thousand gallons per day? Let T = (bar{X} - 250)/ (S/sqrt{21}), where bar{X} is the sample mean S is the sample standard deviation, sqrt{21} is the square root of 21. Group of answer choices Since |T| = 0.5396 < t0.005 (20) = 2.845, there is enough evidence to suggest that the park water usage is different from 250 thousand gallons per day. Since |T| = 0.5396 < t0.005 (20) = 2.845, there is not enough evidence to suggest that the park water usage is different from 250 thousand gallons per day. Since T = - 0.5396 < t0.01 (20) = 2.528, there is enough evidence to suggest that the park water usage is different from 250 thousand gallons per day

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

The amount of water usage at a water park for a random sample of 21 days yeilded sample mean of 245.2238 thousands gallons per day and sample standard deviation of  40.8096 thousand gallons per day. Is there any evidence, at the level of significance 0.01, to suggest that the mean water usage at this park is different from 250 thousand gallons per day?

Let T = (bar{X} - 250)/ (S/sqrt{21}),

where

bar{X} is the sample mean

S is the sample standard deviation,

sqrt{21} is the square root of 21.

Group of answer choices

Since |T| = 0.5396 < t0.005 (20) = 2.845, there is enough evidence to suggest that the park water usage is different from 250 thousand gallons per day.

Since |T| = 0.5396 < t0.005 (20) = 2.845, there is not enough evidence to suggest that the park water usage is different from 250 thousand gallons per day.

Since T = - 0.5396 < t0.01 (20) = 2.528, there is enough evidence to suggest that the park water usage is different from 250 thousand gallons per day

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON