Question and answer key 5 Observations over a long period of time have shown that the mid-daytemperature at a particular place during the month of June is normallydistributed with a mean value of 23.9 °C with standard deviation 2.3 °C. Anecologist sets up an experiment to collect data for a hypothesis test of whetherthe climate is getting hotter. She selects at random 20 June days over a five-yearperiod and records the mid-day temperature. Her results (in °C) are as follows.20.126.223.328.930.428.417.322.725.124.215.426.319.324.019.930.332.126.727.6 23.1(i) State the null and alternative hypotheses that the ecologist should use.(ii) Carry out the test at the 10% significance level and state the conclusion.(iii) Calculate an unbiased estimate of the population variance and commenton it. (i) H,:H = 23.9°, H,: µ > 23.9°5(ii) z= 1.29, significant(iii) 20.6; the standard deviation 4.54 is much greaterthan 2.3 so the ecologist should be askingwhether the temperature has become morevariable.

Name: Question and answer key 5 Observations over a long period of time have
Uploaded: 2024-03-20T06:38:44.000Z
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Description: Question and answer key 5 Observations over a long period of time have shown that the mid-daytemperature at a particular place during the month of June is normallydistributed with a mean value of 23.9 °C with standard deviation 2.3 °C. Anecologist se