ANSWER:
104
STEP-BY-STEP EXPLANATION:
Given:
Standard deviation (σ) = 700
Confidence level = 95%
Mean error (Eμ) = 135
We have for a confidence level of 95%:

Now, we calculate the minimum value of the sample size as follows:

The minimum sample size needed is 104
Answer: No, the data provided is not sufficient evidence to conclude that the mean height of women in the city differs from the national mean.
Step-by-step explanation:
Since we have given that

Mean height = 61.5 inches
Standard deviation = 4.4 inches
n = 100
So, test statistic value would be

At 10% level of significance, in two tail test ,
z = 1.28
Since 1.28 > -2.727
So, we will accept the null hypothesis.
Hence, No, the data provided is not sufficient evidence to conclude that the mean height of women in the city differs from the national mean.
Here we have to use the following formula

x' is the derivative with respect to y
Given value of x is

Differentiating with respet to y

Substituting the value of x' in the formula, we will get

