Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8
a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why.
The mean can be used as a point estimate for the pull of force.
Using a calculator :
The mean(m) :
Σx /n = 1966/26
= 75.62 pounds
(b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.
To obtain this, we calculate the median:
Median = 0.5(n + 1)th term
Median = 0.5(27)th term = 13.5
Take the 13th and 14th term:
(75.1 + 75.3) / 2 = 75.2 pounds
(c) Calculate point estimates of the population variance and the population standard deviation.
Using calculator ; the variance (s²) = 2.73815
The standard deviation (s) = √variance
s = √2.73815 = 1.655
(d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error.
Standard Error = standard deviation / √n
Standard Error = 1.655 / √26
= 0.3245
(e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds
Number of Proportions less than 73 pounds / number of samples
= 1 / 26
= 0.0385
