
Answer:
= 70.2 ± 3.761  bpm
Step-by-step explanation:
The question is on calculating the confidence interval for a population mean
The general expression is
CI = x ± z * δ/√n  where;
CI = confidence interval,
 x = mean of sample,
 δ = standard deviation,
 n= is sample size
  z = z* value from standard normal distribution according to  confidence level given.
Given that;
n= 30  x =70.2   δ=10.51      z* for 95% CI = 1.96
Then applying the expression
CI = x ± z * δ/√n
[tex]=\sqrt{n} = \sqrt{30} =5.477\\\\=\frac{10.51}{5.477} =1.919*1.96=3.761\\\\[/tex]
Cl = 70.2±3.761
= 70.2 ± 3.761  bpm