The weight of gravel, in kilograms, collected by a power shovel may be modeled by a normal distribution with unknown mean, p, and standard deviation 50 kg. The weights of
a random sample of 20 collections have a mean of 1030 kg.
Answer the following questions round all FINAL answers to two decimal places.
(a) What is the point estimate of the mean weight of gravel that the shovel can collect?
(b) Calculate the margin of error for a 95% confidence interval estimate of
(c) State the 95% confidence interval for the mean,
(d) What sample size is needed so that the error is no more than 10 kg?n=
power shovels

Which term best describes the association between variables a and b

In a sample of 2023 u. s. adults, 373 said franklin roosevelt was the best president since world war ii. two u. s. adults are selected at random from the population of all u. s. adults without replacement. assuming the sample is representative of all u. s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

Find the distance between (0,5) & (-4,2)