Final answer:
To calculate a point estimate of the mean pull-off force of all connectors in the population, we use the sample mean. The point estimate of the pull-off force value that separates the weakest 50% from the strongest 50% is the median. The sample variance and sample standard deviation can be used to estimate the population variance and population standard deviation.
Step-by-step explanation:
a. To calculate a point estimate of the mean pull-off force of all connectors in the population, we can use the sample mean. The sample mean is calculated by taking the sum of all the values and dividing it by the number of values. In this case, the point estimate of the mean pull-off force would be the sum of the given values divided by 26.
b. To calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors from the strongest 50%, we can use the median. The median is the middle value when the values are arranged in ascending order. In this case, we would arrange the given values in ascending order and find the middle value.
c. To calculate point estimates of the population variance and population standard deviation, we can use the sample variance and sample standard deviation. The sample variance is calculated by taking the sum of the squared differences between each value and the sample mean, divided by the number of values minus 1. The sample standard deviation is the square root of the sample variance.
d. The standard error of the point estimate found in part (a) can be calculated using the formula: standard deviation / square root of sample size. The standard error measures the variability or uncertainty in the point estimate. A larger standard error indicates more variability or uncertainty.
e. To calculate a point estimate of the proportion of all connectors, we need more information about what specific proportion is being referred to.