The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population is p=.17 and a sample of 800 households will be selected from the population. Use z-table. b. What is the probability that the sample proportion will be within +/- 0.03 of the population proportion (to 4 decimals)? c. What is the probability that the sample proportion will be within +/- 0.03 of the population proportion for a sample of 1,200 households?

R1

In a recent year, the Better Business Bureau settled 73% of complaints they received. You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is 0.73, as mentioned above. Suppose your sample size is 113. DO NOT USE THE EXCEL FORMULA. CALCULATE BY HAND OR WITH A CALCULATOR. 1. What is the probability that the sample proportion will be within 4 percent of the population proportion?

5. (Solve using pen and paper) Cans of salmon are supposed to have a net weight of 6 oz. The canner says that the net weight is a random variable with mean m=6.05 oz. and  stand. dev. s=.18 oz. Suppose you take a random sample of 36 cans and calculate the sample mean weight to be 5.97 oz. a. Find the probability that the mean weight of the sample is less than or equal to 5.97 oz.

Save Suppose a random sample of n = 390 teenagers 13 to 17 years of age was asked if they use social media. Of those surveyed, 276 stated that they do use social media. Find the sample proportion of teenagers 13 to 17 years of age who use social media. The sample proportion is p= (Round to three decimal places as needed.)

Answer Part C only.

Which of the following predictions can be calculated using a geometric distribution? a. the number of expeditions that will reach the top of Mount Everest this year b. the number of trucks a weigh station will inspect before finding one that is overloaded C. both of the above d. neither of the above 31 SAMSUNG DIl 9% & 5 6 7 8. y

Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the difference between proportions of men and women who own smartphones. Assume that you want 95​% confidence that your error is no more than 0.03.