Stephen Stigler determined in 1977 that the speed of light is 299,710.5 km/sec. Some measurements of the speed of light are given in the table. Is there evidence to show that the data is different from Stigler's value of the speed of light? Test at the 1% level. Speed of Light Measurements in (km/sec) 300004 299740 299706 299700 299796 299737 299763 299793 299793 299765 299831 299654 299836 299712 299704 299651 299568 299824 299539 299636 299814 299737 299880 299548 299593 299689 299788 State the hypotheses. Find the point estimate. Round to three decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Stephen Stigler determined in 1977 that the speed of light is 299,710.5 km/sec. Some measurements of the
speed of light are given in the table. Is there evidence to show that the data
value of the speed of light? Test at the 1% level.
different from Stigler's
Speed of Light Measurements in (km/sec)
300004
299740
299824
299706
299793
299765
299831
299539 299814 299737
299593 299689
299654
299836
299880
299763
299712
299700
299793
299568
299704
299796
299651
299548
299737
299636
299788
State the hypotheses.
Find the point estimate. Round to three decimal places.
Find the test statistic. Round to three decimal places.
t =
Find the p-value. Round to four decimal places.
p-value -
State your decision.
O Since the p-value is less than 0.01, fail to reject Ho.
O Since the p-value is greater than 0.01, reject Ho-
O Since the p-value is greater than 0.01, fail to reject Ho.
O Since the p-value is less than 0.01, reject Ho.
Interpret the results.
O At the 1% level of significance, there is not enough evidence to conclude that the mean speed of
líght determined by the data is not equal to 299,710.5 km/s.
O At the 1% level of significance, there is not enough evidence to conclude that the mean speed of
light determíned by the data is less than 299,710.5 km/s.
O At the 1% level of significance, there is not enough evidence to conclude that the mean speed of
light determined by the data is more than 299,710.5 km/s.
O At the 1% level of significance, there is enough evidence to conclude that the mean speed of light
determined by the data is not equal to 299,710.5 km/s.
O At the 1% level of significance, there is enough evidence to conclude that the mean speed of light
determined by the data is more than 299,710.5 km/s.
O At the 1% level of significance, there is enough evidence to conclude that the mean speed of light
determined by the data is less than 299,710.5 km/s.
Transcribed Image Text:myopenmath.com/assess2/?čid=97456&aid%36979687#/skip/5 Stephen Stigler determined in 1977 that the speed of light is 299,710.5 km/sec. Some measurements of the speed of light are given in the table. Is there evidence to show that the data value of the speed of light? Test at the 1% level. different from Stigler's Speed of Light Measurements in (km/sec) 300004 299740 299824 299706 299793 299765 299831 299539 299814 299737 299593 299689 299654 299836 299880 299763 299712 299700 299793 299568 299704 299796 299651 299548 299737 299636 299788 State the hypotheses. Find the point estimate. Round to three decimal places. Find the test statistic. Round to three decimal places. t = Find the p-value. Round to four decimal places. p-value - State your decision. O Since the p-value is less than 0.01, fail to reject Ho. O Since the p-value is greater than 0.01, reject Ho- O Since the p-value is greater than 0.01, fail to reject Ho. O Since the p-value is less than 0.01, reject Ho. Interpret the results. O At the 1% level of significance, there is not enough evidence to conclude that the mean speed of líght determined by the data is not equal to 299,710.5 km/s. O At the 1% level of significance, there is not enough evidence to conclude that the mean speed of light determíned by the data is less than 299,710.5 km/s. O At the 1% level of significance, there is not enough evidence to conclude that the mean speed of light determined by the data is more than 299,710.5 km/s. O At the 1% level of significance, there is enough evidence to conclude that the mean speed of light determined by the data is not equal to 299,710.5 km/s. O At the 1% level of significance, there is enough evidence to conclude that the mean speed of light determined by the data is more than 299,710.5 km/s. O At the 1% level of significance, there is enough evidence to conclude that the mean speed of light determined by the data is less than 299,710.5 km/s.
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