Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Does it appear that the mean time interval has changed? Is the conclusion affected by whether th significance level is 0.10 or 0.01? Recent 78 91 90 80 58 99 62 86 69 88 81 82 55 82 75 103 60 . Past 89 87 93 94 63 84 84 92 87 91 88 91 Let u, be the recent times and let u, be the past times. What are the null and alternative hypotheses? O A. Ho H, =H2 O B. Ho H, = H2 OC. Ho H* H2 O D. Ho H,

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Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple
random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Does it appear that the mean time interval has changed? Is the conclusion affected by whether the
significance level is 0.10 or 0.01?
Recent
78 91 90 80 58 99 62 86 69 88 81 82 55 82 75 103 60 -
Past
89 87 93 94 63 84 84 92 87 91 88 91
Let u, be the recent times and let µ, be the past times. What are the null and alternative hypotheses?
O A. Ho H1= H2
H;: H H2
O B. Ho H1 = P2
H,: H, > H2
O D. H, H1<H2
O C. Ho: H, # H2
H;: H, = H2
Calculate the test statistic.
t= (Round to two decimal places as needed.)
Find the P-value.
P-value =
(Round to three decimal places as needed.)
Transcribed Image Text:Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Does it appear that the mean time interval has changed? Is the conclusion affected by whether the significance level is 0.10 or 0.01? Recent 78 91 90 80 58 99 62 86 69 88 81 82 55 82 75 103 60 - Past 89 87 93 94 63 84 84 92 87 91 88 91 Let u, be the recent times and let µ, be the past times. What are the null and alternative hypotheses? O A. Ho H1= H2 H;: H H2 O B. Ho H1 = P2 H,: H, > H2 O D. H, H1<H2 O C. Ho: H, # H2 H;: H, = H2 Calculate the test statistic. t= (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.)
Find the P-value.
P-value =
(Round to three decimal places as needed.)
Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10.
V H, because the P-value is
V the significance level. There
sufficient evidence that the mean time interval has changed.
Is the conclusion affected by whether the significance level is 0.10 or 0.01?
O A. No, the conclusion is not affected by the significance level because H, is not rejected regardless of whether a significance level of 0.10 or 0.01 is used.
O B. Yes, the conclusion is affected by the significance level because H, is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01.
OC. Yes, the conclusion is affected by the significance level because H, is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10.
O D. No, the conclusion is not affected by the significance level because H, is rejected regardless of whether a significance level of 0.10 or 0.01 is used.
Transcribed Image Text:Find the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10. V H, because the P-value is V the significance level. There sufficient evidence that the mean time interval has changed. Is the conclusion affected by whether the significance level is 0.10 or 0.01? O A. No, the conclusion is not affected by the significance level because H, is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. O B. Yes, the conclusion is affected by the significance level because H, is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. OC. Yes, the conclusion is affected by the significance level because H, is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. O D. No, the conclusion is not affected by the significance level because H, is rejected regardless of whether a significance level of 0.10 or 0.01 is used.
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