Question

1. Researchers at the S-A Weather Centre in the Northern Cape recorded the number days the weather reached 38°C, first recorded in 1875. The numbers form a normal distribution with a mean of u = 9,6 and a standard deviation of o = 1,9. To see if the data showed any evidence of global warming, they also computed the average number of days (M = 12,25) the temperature reached 38°C, over the last 4 years. Do the data indicate that the past 4 years have had significantly more 38°C days than would be expected for any random sample from this population? Use a one-tailed test with a = 0,05. (20 Marks)

may I please have it written down by pen step by step I cant make sense of other one

Answer 1

solution: page-1 * Given - > standard deviation of Ge 1.9 - normal distribution with a mean of M=9.6 -> average noof days, x = 12:25 =) n =h (years) The hypothesis being tested is: Hoi M=9.6 Hai M>9.6 The test statistic, z =(x-M) (x-M) xon Now, substitute the values. (12.25 -4.6) x JF Z 1.9 (2.65) x Jh => Z = 1.9

Page 2 5.3 Z 그 1.9 .. Z=2.79 The p-value is 0.0026 since, the .P value (0.0026) is less than the significance level (0.05), we can reject the null hypothesis. Therefore, can conclude that M >9.6 ::: we

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