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. Question 14 Test the claim that the mean temperature (in degrees F) in Santa Maria is more than 70.2. A random sample of temperatures
. Question 14 Test the claim that the mean temperature (in degrees F) in Santa Maria is more than 70.2. A random sample of temperatures at 39 locations yields a mean temperature of 70.76. Use or = 0.10, and assume that o = 1.3. 1. The sample size restriction for this test is: O Need at least 5 successes and 5 failures O None needed since population is normally distributed O Need n > 30 The hypotheses are: O Ho:p = 70.2; Ha:p # 70.2 O Ho: / 70.2 O Ho: u > 70.2; Ha: u 70.2 2. This is a O left right two tailed test and the distribution used is O Z since testing a proportion O T since o not known O Z since o knownThe Degrees of Freedom are {2:22:- 39 C' 38 '3' WA since this is a Z-test 3. The STS {round to 3 decimals} is: The P-value {round to 4 decimals} is: 4. The decision at a = 0.10 is: '3' Do not reject Ho since P > a: '31:? Reject Ho since P g o: '31:? Do not reject Ho since P 1: or '3' Reject Ho since P lb 0: The conclusion is: '3' There is sufficient evidence to reject the claim that the mean temperature in Santa Maria is more than 702 degrees C? There is sufficient evidence to support the claim that the mean temperature in Santa Maria is more than 702 degrees '33:? There is insufficient evidence to support the claim that the mean temperature in Santa Maria is more than 70.2 degrees '31:? There is insufficient evidence to reject the claim that the mean temperature in Santa Maria is more than 70.2 degrees . Question 16 Test the claim that the proportion of days that temperature (in degrees F) in Santa Maria exceeds 71 degrees is more than 0.4. A random sample of 85 days yields 38 days in which the temperature exceeds 71 degrees. Use a = 0.01. 1. The sample size restriction for this test is: None needed since population is normally distributed O Need n 2 30 O Need at least 5 successes and 5 failures The hypotheses are: O Ho: u > 0.4; Ha: M 0.4 O Ho:p = 0.4; Ha:p # 0.4 O Ho:p 0.4 2. This is a O left two right tailed test and the distribution used is O Z since testing a proportion O Z since o known O T since o not knownThe Degrees of Freedom are ""231' 84 C- 85 C' WA since this is a Z-test 3. The STS (round to 3 decimals} is: The P-value (round to 4 decimals} is: 4. The decision at a: = 0.01 is: C' Reject Ho since P g a '33:? Do not reject Ho since P > or '33:} Reject Ho since P I? or '3' Do not reject Ho since P <_ or the conclusion is: there is sufficient evidence to conclude that proportion of days temperature in santa maria exceeds more than insufficient not>
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