Question

# Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution,...

Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither. Claim: ? = 119. Sample data: ? = 15, ?̅ = 103, ? = 15.2. The sample data, for this simple random sample, appear to come from a normally distributed population with unknown ? and ?.

Solution :

= 119

=103

S =15.2

n = 15

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 119

Ha :     119

Test statistic = t

= ( - ) / S / n

= (103-119) / 15.2 / 15

= −4.077

Test statistic = t =  −4.077

P-value =0.0011

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