On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities. 10.48 9.18 11.8 6.5 12.42 14.53 15.56 10.12 14.5 16.18 17.6 19.18 17.98 12.85 16.8 17.35 15.64 14.8 18.91 17.99 14.9 18.42 16.05 26.85 22.32 22.76 20.98 23.45 19.05 23.7 19.26 23.75 27.8 27.05 27.14 26.99 24.68 37.86 26.51 39.01 29.46 41.65 (a) Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.) H0: Ha: (b) What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.) What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.) (c) At ? = 0.05, can your null hypothesis be rejected? What is your conclusion? Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa. Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa. (d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: M=21.62 Ha: Find the value of the test statistic. (Round your answer to three decimal places.)

On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities. 10.48 9.18 11.8 6.5 12.42 14.53 15.56 10.12 14.5 16.18 17.6 19.18 17.98 12.85 16.8 17.35 15.64 14.8 18.91 17.99 14.9 18.42 16.05 26.85 22.32 22.76 20.98 23.45 19.05 23.7 19.26 23.75 27.8 27.05 27.14 26.99 24.68 37.86 26.51 39.01 29.46 41.65 (a) Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.) H0: Ha: (b) What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.) What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.) (c) At ? = 0.05, can your null hypothesis be rejected? What is your conclusion? Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa. Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa. (d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: M=21.62 Ha: Find the value of the test statistic. (Round your answer to three decimal places.)

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 3CYU

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Question

You may need to use the appropriate appendix table or technology to answer this question.

DATAfile: ResidentialWater

10.48	9.18	11.8	6.5	12.42	14.53	15.56
10.12	14.5	16.18	17.6	19.18	17.98	12.85
16.8	17.35	15.64	14.8	18.91	17.99	14.9
18.42	16.05	26.85	22.32	22.76	20.98	23.45
19.05	23.7	19.26	23.75	27.8	27.05	27.14
26.99	24.68	37.86	26.51	39.01	29.46	41.65

(a)

Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.)

H₀:

H_a:

(b)

What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)

What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)

(c)

At ? = 0.05, can your null hypothesis be rejected? What is your conclusion?

Do not reject H₀. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H₀. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa. Do not reject H₀. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H₀. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.

(d)

Repeat the preceding hypothesis test using the critical value approach.

State the null and alternative hypotheses. (Enter != for ≠ as needed.)

H₀:

M=21.62

H_a:

Find the value of the test statistic. (Round your answer to three decimal places.)

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