Problem 5: The mean weight of hogs at a hog barn is 656 pounds with a...

Problem 5: The mean weight of hogs at a hog barn is 656 pounds with a

standard deviation of 43 pounds. A random sample of 43 hogs is selected.

Part A: What is the probability that a sample mean will be between 650 and 660 pounds?

Part B: There is a 70% chance that a sample mean will be below what weight?

Expert Solution

orchestra answered 1 year ago

The mean weight of a pineapple in a very large shipment is 5 pounds. Ten percent...

The mean weight of a pineapple in a very large shipment is 5 pounds. Ten percent of these pineapples weigh less than 4 pounds. Assuming that the weights are normally distributed, what is the standard deviation in the shipment?

The weight of newborn babies are normally distributed with a mean of 7.62 pounds and a...

The weight of newborn babies are normally distributed with a mean of 7.62 pounds and a standard deviation of 0.61 pounds. If the weight of 22 newborn are randomly selected, what's the probability that their mean weight is more than 7.23 pounds? Round to 4-decimal places

The mean weight of 1-year-old girls is 80 pounds, and the standard deviation is 6 pounds....

The mean weight of 1-year-old girls is 80 pounds, and the standard deviation is 6 pounds. If a sample of 31 girls is selected, what is the probability that their sample mean is between 76.5 and 81.5 pounds? Use your graphing calculator to determine this probability. Enter this answer as a number rounded to four digits after the decimal point.

In a sample of 51 babies, the mean weight is 21 pounds and the standard deviation...

In a sample of 51 babies, the mean weight is 21 pounds and the standard deviation is 4 pounds. Calculate a 95% confidence interval for the true mean weight of babies. Suppose we are interested in testing if the true mean weight of babies is 19.4 vs the alternative that it is not 19.4 with an alpha level of .05. Would this test be significant? Explain your answer. Perform the t test and use a t-table to get the p-value

The weight (in pounds) for a population of school-aged children is normally distributed with a mean...

The weight (in pounds) for a population of school-aged children is normally distributed with a mean equal to 138 ± 23 pounds (μ ± σ).Suppose we select a sample of 100 children (n = 100) to test whether children in this population are gaining weight at a 0.05 level of significance. Part (a) What are the null and alternative hypotheses? H0: μ = 138 H1: μ < 138 H0: μ = 138 H1: μ ≠ 138 H0: μ ≤ 138...

The weight of chihuahuas follows a Normal distribution with mean 10.4 pounds and with a standard...

The weight of chihuahuas follows a Normal distribution with mean 10.4 pounds and with a standard deviation of 2.1 pounds. A) What percent of the dogs weigh more than 12 pounds? B) What percent of the dogs weight between 9 and 12 pounds? C) 50% of the dogs weigh more than what weight? D) 75% of the dogs weight more than what weight?

Horses in a stable have a mean weight of 950 pounds with a standard deviation of...

Horses in a stable have a mean weight of 950 pounds with a standard deviation of 77 pounds. Weights of horses follow the normal distribution. One horse is selected at random. a. What is the probability that the horse weighs less than 900 pounds? b. What is the probability that the horse weighs more than 1,100 pounds? c. What is the probability that the horse weighs between 900 and 1,100 pounds? d. What weight is the 90th percentile? (round to...

At a very large university, the mean weight of male students is 197.3 pounds with a...

At a very large university, the mean weight of male students is 197.3 pounds with a standard deviation of 15.2 pounds. Let us assume that the weight of any student is independent from the weight of any other student. Suppose, we randomly select 256 male students from the university and look at the weight of each student in pounds. Let M be the random variable representing the mean weight of the selected students in pounds. Let T = the random...

An archeologist determines the mean weight of a “Statisticasaurus” is 455 pounds. Another claims that the...

An archeologist determines the mean weight of a “Statisticasaurus” is 455 pounds. Another claims that the mean is greater than 455. A sample of seven weights are taken with a mean of 470 and s=39.90. Does the data support the claim at the 95% level? H0: µ = 455, H1: µ > 455 t-value (statistic)= ___________ t-value (critical)=__________ Reject or fail to reject: __________

Q6 The weight of adults in USA is normally distributed with a mean of 172 pounds...

Q6 The weight of adults in USA is normally distributed with a mean of 172 pounds and a standard deviation of 29 pounds. What is the probability that a single adult will weigh more than 190 pounds? Q7 Along the lines of Q6 above, what is the probability that 25 randomly selected adults will have a MEAN more than 190 pounds? Q8 Along the lines of Q6 above, an elevator has a sign that says that the maximum allowable weight...

Question