The population difference within the pair is normal.
The population distribution of mice with and without diabetes are identical.
mRNA population distribution for mice with diabetes is shifted relative to the population distribution for mice without diabetes.
Conclusion,
the two population has same shape , the two samples are independent simple random samples and the two samples are paired , the population means are the same .
Hence, each of the two population distribution is normal.
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Answer:
The probability is 0.9909.
Step-by-step explanation:
Test statistic (z) = (sample mean - population mean) ÷ (sd/√n)
sample mean = 290 days
population mean = 298 days
sd = 22 days
n = 42
z = (290 - 298) ÷ (22/√42) = -8 ÷ 3.395 = -2.36
The cumulative area of the test statistic is the probability that the mean gestation period is less than 290 days. The cumulative area is 0.9909. Therefore the probability is 0.9909.
It is (0,-1) hope that helps