For the following questions (a - j), assume that a population of frogs has an average weight of μ 23 grams and a standard deviation (σ) equal to 1 gram. = You obtain a sample of N = 15 frogs, where the average weight in grams (X) equals 23.4 grams and s = 0.95. You wish to conduct a hypothesis test specifying Ho: μo = 23 grams. (a) Report the T-Score test statistic (T). Round your answer to three decimal places. (b) Based on the T-Score test statistic (T) in (a), do you have sufficient evidence to reject Ho when α = 0.05? (c) Based on the T-Score test statistic (T) in (a), do you make a Type I or Type II er- ror when α = 0.05? (d) Based on the T-Score test statistic (T) in (a), do you have sufficient evidence to reject Ho when a = 0.01? (e) Based on the T-Score test statistic (T) in (a), do you make a Type I or Type II er- ror when a = 0.01? You obtain a sample of N = 15 frogs, where the average weight in grams (X) equals 23.4 grams and s = 0.95. You wish to conduct a hypothesis test specifying Ho: μo = 24 grams. (f) Report the T-Score test statistic (T). Round your answer to three decimal places. (g) Based on the T-Score test statistic (T) in (f), do you have sufficient evidence to reject Ho when a = 0.05? (h) Based on the T-Score test statistic (T) in (f), do you make a Type I or Type II er- ror when α = 0.05? (i) Based on the T-Score test statistic (T) in (f), do you have sufficient evidence to reject Ho when a = 0.01? (i) Based on the T-Score test statistic (T) in (f), do you make a Type I or Type II er- ror when a = 0.01? (k) Suppose Ho is false (Ho: Ho = 24 grams). Would you expect to reject H₁ more easily when N 25 or when N = 15? = : (1) Suppose Ho is false (Ho: Mo 24 grams). Would you expect to reject H₁ more easily when α = 0.05 or when a = 0.01? (m) Suppose Ho is false (Ho: Mo = 24 grams). Would you expect to reject Ho more easily when μ=23 grams or when μ = 22 grams?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
Question

This is statistics . I am really stuck. Please help!

For the following questions (a - j), assume that a population of frogs has an average
weight of μ 23 grams and a standard deviation (σ) equal to 1 gram.
=
You obtain a sample of N = 15 frogs, where the average weight in grams (X) equals
23.4 grams and s = 0.95. You wish to conduct a hypothesis test specifying Ho: μo = 23
grams.
(a) Report the T-Score test statistic (T). Round your answer to three decimal places.
(b) Based on the T-Score test statistic (T) in (a), do you have sufficient evidence to
reject Ho when α = 0.05?
(c) Based on the T-Score test statistic (T) in (a), do you make a Type I or Type II er-
ror when α = 0.05?
(d) Based on the T-Score test statistic (T) in (a), do you have sufficient evidence to
reject Ho when a = 0.01?
(e) Based on the T-Score test statistic (T) in (a), do you make a Type I or Type II er-
ror when a = 0.01?
You obtain a sample of N = 15 frogs, where the average weight in grams (X) equals
23.4 grams and s = 0.95. You wish to conduct a hypothesis test specifying Ho: μo = 24
grams.
(f) Report the T-Score test statistic (T). Round your answer to three decimal places.
(g) Based on the T-Score test statistic (T) in (f), do you have sufficient evidence to
reject Ho when a = 0.05?
(h) Based on the T-Score test statistic (T) in (f), do you make a Type I or Type II er-
ror when α = 0.05?
(i) Based on the T-Score test statistic (T) in (f), do you have sufficient evidence to reject
Ho when a = 0.01?
Transcribed Image Text:For the following questions (a - j), assume that a population of frogs has an average weight of μ 23 grams and a standard deviation (σ) equal to 1 gram. = You obtain a sample of N = 15 frogs, where the average weight in grams (X) equals 23.4 grams and s = 0.95. You wish to conduct a hypothesis test specifying Ho: μo = 23 grams. (a) Report the T-Score test statistic (T). Round your answer to three decimal places. (b) Based on the T-Score test statistic (T) in (a), do you have sufficient evidence to reject Ho when α = 0.05? (c) Based on the T-Score test statistic (T) in (a), do you make a Type I or Type II er- ror when α = 0.05? (d) Based on the T-Score test statistic (T) in (a), do you have sufficient evidence to reject Ho when a = 0.01? (e) Based on the T-Score test statistic (T) in (a), do you make a Type I or Type II er- ror when a = 0.01? You obtain a sample of N = 15 frogs, where the average weight in grams (X) equals 23.4 grams and s = 0.95. You wish to conduct a hypothesis test specifying Ho: μo = 24 grams. (f) Report the T-Score test statistic (T). Round your answer to three decimal places. (g) Based on the T-Score test statistic (T) in (f), do you have sufficient evidence to reject Ho when a = 0.05? (h) Based on the T-Score test statistic (T) in (f), do you make a Type I or Type II er- ror when α = 0.05? (i) Based on the T-Score test statistic (T) in (f), do you have sufficient evidence to reject Ho when a = 0.01?
(i) Based on the T-Score test statistic (T) in (f), do you make a Type I or Type II er-
ror when a = 0.01?
(k) Suppose Ho is false (Ho: Ho = 24 grams). Would you expect to reject H₁ more
easily when N 25 or when N = 15?
= :
(1) Suppose Ho is false (Ho: Mo 24 grams). Would you expect to reject H₁ more
easily when α = 0.05 or when a = 0.01?
(m) Suppose Ho is false (Ho: Mo = 24 grams). Would you expect to reject Ho more
easily when μ=23 grams or when μ = 22 grams?
Transcribed Image Text:(i) Based on the T-Score test statistic (T) in (f), do you make a Type I or Type II er- ror when a = 0.01? (k) Suppose Ho is false (Ho: Ho = 24 grams). Would you expect to reject H₁ more easily when N 25 or when N = 15? = : (1) Suppose Ho is false (Ho: Mo 24 grams). Would you expect to reject H₁ more easily when α = 0.05 or when a = 0.01? (m) Suppose Ho is false (Ho: Mo = 24 grams). Would you expect to reject Ho more easily when μ=23 grams or when μ = 22 grams?
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