A sample of 100 provided a sample mean of 77.5. The population standard deviation is known to be 15. (a) Compute the value of the test statistic. (Round your answer to two decimal places.) (b) Determine the p-value; and using a = 0.063, test the above hypotheses. Find the p-value. (Round your answer to four decimal places.) p-value= State your conclusion. Reject Ho. There is sufficient evidence to conclude that is less than 80. O Reject Ho. There is insufficient evidence to conclude that is less than 80. O Do not reject Ho. There is sufficient evidence to conclude that u is than 80. 82°F Sunny O Do not reject Ho. There is insufficient evidence to conclude that is less than 80. (c) Using the critical value approach and a = 0.063, test the hypotheses. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistics test statistic 2 State your conclusion. Reject Ho. There is sufficient evidence to conclude that ju is less than 80. O Reject Ho. There is insufficient evidence to conclude that is less than 80. O Do not reject Ho. There is sufficient evidence to conclude that is less than 80. LAN

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 53E
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Question
SC
Consider the following hypotheses test.
Ho: μ ≥ 80
Ha: μ < 80
A sample of 100 provided a sample mean of 77.5. The population standard deviation is known to be 15.
(a) Compute the value of the test statistic. (Round your answer to two decimal places.)
(b) Determine the p-value; and using a = 0.063, test the above hypotheses.
Find the p-value. (Round your answer to four decimal places.)
p-value =
82°F
Sunny
?
State your conclusion.
Reject Ho. There is sufficient evidence to conclude that u is less than 80.
O Reject Ho. There is insufficient evidence to conclude that u is less than 80.
O Do not reject Ho. There is sufficient evidence to conclude that is less than
μ
80.
(c) Using the critical value approach and a = 0.063, test the hypotheses.
Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)
test statistic ≤
test statistic 2
O Do not reject Ho. There is insufficient evidence to conclude that is less than
μ
80.
State your conclusion.
Reject Ho
Reject Ho
There is insufficient evidence to conclude that is less than 80.
O Do not reject Ho. There is sufficient evidence to conclude that is less than 80.
bmit?dep=502687508tags=autosave#Q18
There is sufficient evidence to conclude that u is less than 80.
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5:21 PM
9/18/2022
pg up
Transcribed Image Text:SC Consider the following hypotheses test. Ho: μ ≥ 80 Ha: μ < 80 A sample of 100 provided a sample mean of 77.5. The population standard deviation is known to be 15. (a) Compute the value of the test statistic. (Round your answer to two decimal places.) (b) Determine the p-value; and using a = 0.063, test the above hypotheses. Find the p-value. (Round your answer to four decimal places.) p-value = 82°F Sunny ? State your conclusion. Reject Ho. There is sufficient evidence to conclude that u is less than 80. O Reject Ho. There is insufficient evidence to conclude that u is less than 80. O Do not reject Ho. There is sufficient evidence to conclude that is less than μ 80. (c) Using the critical value approach and a = 0.063, test the hypotheses. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic ≤ test statistic 2 O Do not reject Ho. There is insufficient evidence to conclude that is less than μ 80. State your conclusion. Reject Ho Reject Ho There is insufficient evidence to conclude that is less than 80. O Do not reject Ho. There is sufficient evidence to conclude that is less than 80. bmit?dep=502687508tags=autosave#Q18 There is sufficient evidence to conclude that u is less than 80. H f4 ***** f5 f6 4- f7 4+ fg 144 fg hp DII f10 DAI 112 insert prt sc A₁ delete home num € 4x D end 5:21 PM 9/18/2022 pg up
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