Question

In: Statistics and Probability

random samples of 400 bottles of hairspray are distributed in the grocery store. Of the bottles,...

random samples of 400 bottles of hairspray are distributed in the grocery store. Of the bottles, 300 have a cash prize inside the cap. Which of the following is a 90% confidence interval for the true proportion of bottles that have the cash prize at the grocery store?

Solutions

Expert Solution

We have given here,                              
                              
x=300                          
n=400                          
Estimate for sample proportion                              

Level of significance is =1-0.90=0.1                      
Z critical value(using Z table)=1.645      

               


Related Solutions

Use R to generate n = 400 samples (idependent identically distributed random numbers) of X ∼...
Use R to generate n = 400 samples (idependent identically distributed random numbers) of X ∼ N(0, 4). For each Xi , simulate Yi according to Yi = 3 + 2.5Xi + εi , where εi ∼ N(0, 16), i = 1, ..., n. Use R to solve the following questions. (a) Compute the least square estimators of βˆ 0 and βˆ 1. (b) Draw a regression line according to the numbers computed in (a). Plot Y and X with...
A store sells a brand of olive oil of 400 bottles per month. The cost of...
A store sells a brand of olive oil of 400 bottles per month. The cost of each bottle is $4.85 , and the cost of placing an order is $10.00. Assuming the holding costs are based on a 20% annual interest rate, and stock-outs are not allowed, a) What is the optimal lot size they should order and what is the time between orders of this product? b) If lead time is 2 weeks to get the product to the...
Weekly demand at a grocery store for a brand of breakfast cereal is normally distributed with...
Weekly demand at a grocery store for a brand of breakfast cereal is normally distributed with a mean of 850 boxes and a standard deviation of 80 boxes b) What is the probability that weekly demand is: Less than 900 boxes? More than 1020 boxes? Less than 660 boxes or greater than 980 boxes?
A grocery store has 18 two-liter bottles of diet cola on the shelf, four of which...
A grocery store has 18 two-liter bottles of diet cola on the shelf, four of which have exceeded their shelf-life date. You randomly select three bottles of diet cola without checking the expiration date. Determine the probability of the following: a. None of the bottles have exceeded their expiration date. b. At least two of the bottles have exceeded their expiration date. c. Calculate the mean and standard deviation of this distribution. d. Verify your results with Excel.
Glen’s Grocery store                                       &nbsp
Glen’s Grocery store                                              Balance Sheet as at 31st December 2018 Current Assets                       $              $ Current Liabilities                  $              $            Bank                                      3,554                                                  Accounts Receivable             8,529          Accounts Payable                               10,490 Inventory                              15,637 Prepaid expenses                 2,132      29,852                                                                                    Non Current Liabilities                                                                                                                                         0               Non Current Assets                                                                                            Equipment                          49,755                       Owners’ Equity Accumulated Depreciation (14,215)                                                                35,540      Capital                                                  54,902                                                                                                Total Assets                                   $ 65,392      Total Liabilities & Owners’ Equity $ 65,392 Income Statement for the year ended 31st...
The manager of a grocery store has taken a random sample of 100 customers. The average...
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 4.8 minutes with a sample standard deviation of 0.5 minutes. Conduct a test to determine whether or not the mean waiting time of all customers is significantly more than 5 minutes. Use a significance level of α = 0.01.
please assume all samples are simple random samples, and all populations are normally distributed. for any...
please assume all samples are simple random samples, and all populations are normally distributed. for any calculator quantity that is to be used in a further calculation involving multiplication division powers or Roots at least four significant figures should be used unless exact at McDonalds a sample of 81 drive-thru customers revealed that there drive through wait time had a mean of 4.87 minutes with standard deviation of .52 minutes a. construct a 95% confidence interval estimate (2 DP) of...
In order to compare the means of two populations, independent random samples of 400 observations are...
In order to compare the means of two populations, independent random samples of 400 observations are selected from each population with the following results: Sample 1 Sample 2 Sample Mean = 5275 Sample Mean = 5240 s1 = 150 s2 = 200 To test the null hypothesis H0: µ1 - µ2 = 0 versus the alternative hypothesis Ha: µ1 - µ2 ╪ 0 versus the alternative hypothesis at the 0.05 level of significance, the most accurate statement is:
In order to compare the means of two populations, independent random samples of 400 observations are...
In order to compare the means of two populations, independent random samples of 400 observations are selected from each population with the following results: Sample 1 Sample 2 Sample Mean = 5275 Sample Mean = 5240 s1 = 150 s2 = 200 To test the null hypothesis H0: µ1 - µ2 = 0 versus the alternative hypothesis Ha: µ1 - µ2 ╪ 0 versus the alternative hypothesis at the 0.05 level of significance, the most accurate statement is The value...
In order to compare the means of two populations, independent random samples of 400 observations are...
In order to compare the means of two populations, independent random samples of 400 observations are selected from each population, with the results found in the table to the right. Complete parts a through e. Xbar 1: 5275 s1: 148 Xbar 2: 5240 s2: 210 a. use a 95% confidence interval to estimate the difference between the population means (u1 - u2). Interpret the confidence interval. b. test the null hypothesis H0: (u1 - u2) = 0 versus the alternative...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT