Bob Feller, an Iowa farmer, has recorded the daily high temperatures during the same five-day stretch in May over the past five years. Bob is interested in whether this data suggests that the daily high temperature obeys a normal distribution. Use a = 0.01 and conduct a goodness of fit test using 5 classes to see whether the following sample appears to have been selected from a normal probability distribution. (Note: x = 69 and s = 18.) 64 86 49 55 54 54 85 93 56 97 57 54 94 54 51 57 78 91 61 68 94 89 58 87 39 State the null and alternative hypotheses. O Ho: The population has a normal probability distribution. H: The population has a sampling mean distribution. O Ho: The population does not have a normal probability distribution. H: The population has a normal probability distribution. OH: The population has a normal probability distribution. H: The population has a x² distribution. O Ho: The population has a normal probability distribution. H: The population does not have a normal probability distribution. Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value= State your conclusion. O Do not reject Ho. We conclude that the population has a normal probability distribution. O Reject Ho. We conclude that the population does not have a normal probability distribution. Do not reject H. We conclude that the population does not have a normal probability distribution.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Bob Feller, an Iowa farmer, has recorded the daily high temperatures during the same five-day stretch in May over the past five years. Bob is interested in whether this data suggests that the daily high temperature obeys a normal
distribution. Use a = 0.01 and conduct a goodness of fit test using 5 classes to see whether the following sample appears to have been selected from a normal probability distribution. (Note: x =
69 and s = 18.)
54
54
85 93
56 97
57 54
57 78
94 54
51 68
91 61 58
State the null and alternative hypotheses.
O Ho: The population has a normal probability distribution.
Ha The population has a sampling mean distribution.
Find the value of the test statistic.
87 39
Ho:
: The population has a normal probability distribution.
H: The population has a x² distribution.
94
оно
: The population does not have a normal probability distribution.
H: The population has a normal probability distribution.
89
O Ho: The population has a normal probability distribution.
H₂: The population does not have a normal probability distribution.
Find the p-value. (Round your answer to four decimal places.)
p-value =
64 86
49
55
State your conclusion.
O Do not reject Ho. We conclude that the population has a normal probability distribution.
Reject Ho. We conclude that the population does not have a normal probability distribution.
O Do not reject Ho. We conclude that the population does not have a normal probability distribution.
O Reject Ho. We conclude that the population has a normal probability distribution.
hs
Transcribed Image Text:Bob Feller, an Iowa farmer, has recorded the daily high temperatures during the same five-day stretch in May over the past five years. Bob is interested in whether this data suggests that the daily high temperature obeys a normal distribution. Use a = 0.01 and conduct a goodness of fit test using 5 classes to see whether the following sample appears to have been selected from a normal probability distribution. (Note: x = 69 and s = 18.) 54 54 85 93 56 97 57 54 57 78 94 54 51 68 91 61 58 State the null and alternative hypotheses. O Ho: The population has a normal probability distribution. Ha The population has a sampling mean distribution. Find the value of the test statistic. 87 39 Ho: : The population has a normal probability distribution. H: The population has a x² distribution. 94 оно : The population does not have a normal probability distribution. H: The population has a normal probability distribution. 89 O Ho: The population has a normal probability distribution. H₂: The population does not have a normal probability distribution. Find the p-value. (Round your answer to four decimal places.) p-value = 64 86 49 55 State your conclusion. O Do not reject Ho. We conclude that the population has a normal probability distribution. Reject Ho. We conclude that the population does not have a normal probability distribution. O Do not reject Ho. We conclude that the population does not have a normal probability distribution. O Reject Ho. We conclude that the population has a normal probability distribution. hs
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