Suppose that in a sample of size n = 100 from an AR(1) process with mean H (unknown), $ = 0.6 and o? = 2.0, we obtain the sample mean X= 0.271. Construct an approximate 95% confidence interval for the unknown population mean u. Is this time series data compatible with the null hypothesis H,:µ = 0?

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Time Series problem. 

Suppose that in a sample of size n = 100 from an AR(1) process with mean u
(unknown),
0 = 0.6 and o? = 2.0, we obtain the sample mean X= 0.271. Construct an approximate
95% confidence interval for the unknown population mean u. Is this time series data
compatible with the null hypothesis H,:µ = 0?
Transcribed Image Text:Suppose that in a sample of size n = 100 from an AR(1) process with mean u (unknown), 0 = 0.6 and o? = 2.0, we obtain the sample mean X= 0.271. Construct an approximate 95% confidence interval for the unknown population mean u. Is this time series data compatible with the null hypothesis H,:µ = 0?
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