An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.06 ounces and a standard deviation of 0.16 ounces. 78% of the apples will contain at least how many ounces of juice?

In a population, it was found that the diastolic blood pressure is normally distributed with a mean 81.5 and standard deviation of 5.5 mm Hg. What proportion of the population have diastolic blood pressures above 80 mm Hg? A. 10.64% B. 39.36% C. 61.79% D. 60.64%

A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby girls is approximately normally distributed. A study claimed that the mean of this population is 5.94 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 15 baby girls, and you record the weight each gained in their first year. Follow the steps below to construct a 95% confidence interval for the population mean of all the weight gains for baby girls in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: 0 Point estimate: 0 Sample standard deviation: 10 Critical value: 0 Number of baby girls Compute 15 Enter the values of the sample size, the point estimate of the mean, the sample standard…

Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 2 hours and 2 minutes after the doors opened, and the standard deviation was estimated at about 44 minutes. Assume that the arrival times follow a normal distribution. At what time after the doors open will 55% of the people who are coming to the Saturday show have arrived? 2 hours 13 minutes 2 hours 1 minute O I hour 56 minutes O 2 hours 7 minutes O O hours 5 minutes

The length of songs in the Big Hair playlist of a Statistics professor's mp3 player varies from song to song. This variation can be modeled by the normal distribution, with a mean song length of �=4.3 minutes and a standard deviation of �=0.65 minutes. (Note that a song that has a length of 4.5 minutes is a song that lasts for 4 minutes and 30 seconds.)The professor decides to shuffle the playlist, which means that the mp3 player will randomly pick a song within this particular playlist and play it next.(a) What is the probability that the next song to be played is between 3.9 and 4.85 minutes long? Answer to four decimals. (b) What proportion of all the songs in this playlist are longer than 5 minutes? Use four decimals in your answer. (c) 20% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals. minutes(d) There are 247 songs in the Big Hair playlist. How many of these would you expect to be longer than 5 minutes in length? Use two…

To assess the air quality in a surgical suite, the presence of colony-forming spores per cubic meter of air is measured on three successive days. The results are as follows: {12, 24, 30}. Calculate the mean and standard deviation for these data.

The average McDonald's restaurant generates $3 million in sales each year with a standard deviation of 0.4. Russell wants to know if the average sales generated by McDonald's restaurants in Nebraska is different than the worldwide average. He surveys 26 restaurants in Nebraska and finds the following data (in millions of dollars):3.3, 3.2, 3.5, 3.3, 3.3, 3.4, 2.8, 3.5, 3.4, 2.5, 2.5, 3.6, 2.9, 2.9, 2.9, 3.5, 3.4, 2.7, 2.2, 2.5, 3.5, 3.6, 3.5, 3.7, 3.6, 2.8Perform a hypothesis test using a 10% level of significance.Step 1: State the null and alternative hypotheses.H0:(p or u)(<,> #)?      Ha: p or u)(<,> #)?           (So we will be performing a    left or right or 2 tail   test.)?Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are  normal distributed or t distributed ?    with distribution mean  ? and distribution…

A different investor decides to invest $8000 in Fund A and $3000 in Fund B. Assuming the amounts gained by the two funds are independent, what are the mean and standard deviation of the amount gained by this investment in the first month?

Airline Fares. The mean airfare for flights departing from Buffalo Niagara International Airport during the first three months of 2017 was $320.51. Assume the standard deviation for this population of fares is known to be $80. Suppose a random sample of 60 flights departing from Buffalo Niagara International Airport during the first three months of 2018 is taken. If the mean and standard deviation of the population of airfares for flights departing from Buffalo Niagara International Airport didn’t changed between the first three months of 2017 and the first three months of 2018, what is the probability the sample mean will be within $20 of the population mean cost per flight? What is the probability the sample mean will be within $10 of the population mean cost per flight?

The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…