Sweet Rush is an ice cream shop chain that has locations all across the nation. Customers at Sweet Rush have the option of ordering 1, 2, or 3 scoops of icecream in their cone. The mean number of scoops ordered is u = 2.86, with a standard deviation of o = 0.23. Suppose that we will take a random sample ofn=7 ice cream cone orders and record the number of scoops for each. Let x represent the sample mean of the number of scoops for the 7 ice cream coneorders. Consider the sampling distribution of the sample mean x.Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed.(a) Find u- (the mean of the sampling distribution of the sample mean).H- = ||(b) Find o- (the standard deviation of the sampling distribution of the sample mean).=0?

Given. Mean=μ=2.86, standard deviations σ=0.23, n=7

Answered: Sweet Rush is an ice cream shop chain…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Answer the question in the second photo with the data provided in the first photo
Women are recommended to consume 1730 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 16 women who participated in the study is shown below: 1764, 1612, 1772, 1405, 1685, 1634, 1823, 1770, 1691, 1762, 1485, 1883, 1834, 1578, 1733, 1885 Assuming that the distribution is normal, what can be concluded at the a = 0.10 level of significance? a. For this study, we should use E-test for a population mean b. The null and alternative hypotheses would be: Ho: ?v|| Select an answer v H.: ?vSelect an answer v c. The test statistic ? (please show your answer to 4 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is f. Based on this, we should fail to reject g. Thus, the final conclusion is that. O The data suggest that the population mean calorie intake for women at your college is not significantly different from 1730 at a = 0.10, so there is not enough evidence to conclude that the…
A biologist is attempting to determine the mean weight of African elephants. She conducts a sample of 60 elephants, and finds a sample mean of 8954 lbs., with a standard deviation of 127 lbs. Assume that the distribution of weights of African elephants is nearly normal.Define your variable: Let μμ be the mean weight of all African elephants, in lbs.. Let μμ be the mean weight of the sampled African elephants, in lbs.. Let p be the proportion of elephants that weigh . Let p be the proprotion of elephants in the sample. Create and interpret a 95% Confidence Interval. Round your answers to one decimal place. and lbs.What is the margin of error? Round your answer to one decimal place. lbs.Another biologist believes that the mean weight of elephants is 89898989. What do you think of this claim? That claim is not in our interval. We do not believe it. The claim is above the sample mean, so there is no way it can be true. The claim is inside the interval. It is reasonable. The…
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 42 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.50 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc = (a)Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit ___ upper limit ____ margin of error ____ (b)What conditions are necessary for your calculations? (Select all that apply.) A-? is known B-? is unknown C-the distribution of volumes is normal D-the…
The average McDonald's restaurant generates $3.3 million in sales each year with a standard deviation of 0.8. Skyler wants to know if the average sales generated by McDonald's restaurants in North Carolina is different than the worldwide average. He surveys 25 restaurants in North Carolina and finds the following data (in millions of dollars): 2.3, 0.9, 2.2, 2.8, 3.1, 3.1, 2.3, 2.6, 2.7, 2.7, 3.1, 3.9, 4.1, 4, 4.5, 1.8, 4.3, 2.7, 3.9, 3.5, 3.2, 1.7, 3.5, 2.9, 2.1 Perform a hypothesis test using a 4% level of significance. Step 1: State the null and alternative hypotheses. Но: ? ? v Ha: ? v (So we will be performing a Select an answer v 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 with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v P(? v…
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.80 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc = (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is large? is known? is unknownthe distribution of volumes is normalthe distribution of…
The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score on the test was 450 and the standard deviation was 50. If the board wants to set the passing scores so that only the top 5% of all applicants pass, what should the passing score be? Assume that the scores are normally distributed.
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of the values, then calculate the mean of the remaining values. Use axial loads (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify any outliers, then compare the median, mean, 10% trimmed mean, and 20% trimmed mean. 247 261 269 273 275 280 282 282 284 285 285 287 290 292 293 296 296 299 311 507 Identify any outliers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The outlier(s) is/are pounds. (Type a whole number. Use a comma to separate answers as needed.) C OB. There are no outliers.
A parenting magazine reports that the average amount of wireless data used by teenagers each month is 5 Gb. For her science fair project, Ella sets out to prove the magazine wrong. She claims that the mean among teenagers in her area is less than reported. Ella collects information from a simple random sample of 25 teenagers at her high school, and calculates a mean of 4.7 Gb per month with a standard deviation of 0.9 Gb per month. Assume that the population distribution is approximately normal. Test Ella's claim at the 0.01 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. E Tables E Keypad Answer Keyboard Shortcuts We reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the average amount of…
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.80 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc = (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is largethe distribution of weights is normalthe distribution of weights is uniform? is…
A parenting magazine reports that the average amount of wireless data used by teenagers each month is 10 Gb. For her science fair project, Ella sets out to prove the magazine wrong. She claims that the mean among teenagers in her area is less than reported. Ella collects information from a simple random sample of 16 teenagers at her high school, and calculates a mean of 9.1 Gb per month with a standard deviation of 1.3 Gb per month. Assume that the population distribution is approximately normal. Test Ella's claim at the 0.05 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS