13. A recent report claims that the monthly sales of a Giant store is less than $2 million due to Corona. A random sample of 35 stores shows that the sample mean is $1.80 million and the standard deviation is $0.68 million. Prove the claim using p-value method at alpha = 0.10.
this is the left tailed test .
The null and alternative hypothesis is ,
H0 : = 2
Ha : < 2
Test statistic = z
= ( - ) / / n
= (1.80-2) / 0.68/ 35
z= -1.74
P(z < -1.74) = 0.0409
P-value = 0.0409
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