Two astronomers recorded observations on a certain star. The mean of 30 observations obtained by first astronomer is 8.85 and mean of 40 observations made by second astronomer is 8.20. Past experience shows that each astronomer obtained readings with variance of 1.2. Using 1% level of significance, can we say that the difference between two results is significant.
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Two astronomers recorded observations on a certain star. The 35 readings obtained by the first astronomer have a mean reading of 1.45. The 32 observations by the second astronomer have a mean reading of 1.30. Past experience has indicated that each astronomer obtains readings with a variance of 0.50. Is there any difference between the mean readings of the two astronomers? Use ?=0.01
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