d) Show that an alternate formula for a z-interval of the population mean is: E(x – 1)² n·x2

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Please help me with part d) of the question. 

d) Show that an alternate formula for a z-interval of the population mean is:

Given these four equations:
E(x – 1)2
S =
п — 1
п — 1
0/Vn
n -
1
t = z1
a) Show that the sample variance, s?, is:
п — 1
n² – n
b) Show that the x? value is:
x – x
Σ
c) Show that the test statistic (or t-value) is:
d) Show that an alternate formula for a z-interval of the population
mean is:
Σ-)
n:x²
Transcribed Image Text:Given these four equations: E(x – 1)2 S = п — 1 п — 1 0/Vn n - 1 t = z1 a) Show that the sample variance, s?, is: п — 1 n² – n b) Show that the x? value is: x – x Σ c) Show that the test statistic (or t-value) is: d) Show that an alternate formula for a z-interval of the population mean is: Σ-) n:x²
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