We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in biology is different from 511. So, we choose a random sample of exam scores. The sample has a mean of 490 and a standard deviation of 78. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 85, and it is from a non-normally distributed population with a known standard deviation of 77. Oz= t = O It is unclear which test statistic to use. (b) The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. Oz= t = O It is unclear which test statistic to use. X

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We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in biology is
different from 511. So, we choose a random sample of exam scores. The sample has a mean of 490 and a standard deviation of 78.
For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean.
Then calculate that statistic. Round your answers to two decimal places.
(a) The sample has size 85, and it is from a non-normally distributed population with a known standard deviation
of 77.
OZ =
0
Ot=
O It is unclear which test statistic to use.
(b) The sample has size 12, and it is from a normally distributed population with an unknown standard deviation.
O Z=
Ot=
O It is unclear which test statistic to use.
X
Transcribed Image Text:We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in biology is different from 511. So, we choose a random sample of exam scores. The sample has a mean of 490 and a standard deviation of 78. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 85, and it is from a non-normally distributed population with a known standard deviation of 77. OZ = 0 Ot= O It is unclear which test statistic to use. (b) The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. O Z= Ot= O It is unclear which test statistic to use. X
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