First, we set up the mixed number 7 3/8 with different colors, so it is easy to follow along:
7
3
8
Step 2 - Multiply
Next, we multiply the whole number by the denominator.
7 x 8 = 56
Step 3 - Add Numerator
Then, we add the numerator to the answer we got in Step 2.
56 + 3 = 59
Step 4 - Solution
Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 7 3/8 as an improper fraction is:
59
8
Answer:
Test statistic Z = p diff/std error = 2.3333
p value one tailed = 0.009815
Step-by-step explanation:
Given that in a survey conducted by a website, employers were asked if they had ever sent an employee home because they were dressed inappropriately.
Sample size n = 2755
Sample favourable x = 967
Sample proportion p = 

(right tailed test at 5% significance level)
p difference = 0.0210
Standard error assuming H0 is true is 
Test statistic Z = p diff/std error = 2.3333
p value one tailed = 0.009815
Since p <0.05 we reject null hypothesis.
Answer:
The minimum sample size required to construct a 95% confidence interval for the population mean is 65.
Step-by-step explanation:
We are given the following in the question:
Population standard deviation,

We need to construct a 95% confidence interval such that the estimate is within 0.75 milligrams of the population mean.
Thus, the margin of error must me 0.75
Formula for margin of error:


Putting values, we get,

Thus, the minimum sample size required to construct a 95% confidence interval for the population mean is 65.