## Statistics Resources

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 442 gram setting. It is believed that the machine is underfilling the bags. A 34 bag sample...

A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling...

Cora wants to determine a 99 percent confidence interval for the true proportion of high school students in the area who attend their home basketball games. How large of a sample must she have to...

A random sample of 1100 voters in a particular city found 539 voters who voted yes on proposition 200. Find a 95% confidence interval for the true percent of voters in this city who voted yes...

(a) Find a 95% confidence interval for p. Answer: 0.541<= p <= 0.621   (b) Find the margin of error for this 95% confidence interval for p. Answer: ?

A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of...

A company sells sunscreen in 350 milliliter (ml) tubes. In fact, the amount of lotion in a tube varies according to a normal distribution with mean μ=347 ml and standard deviation σ=4 ml. Suppose...

(a) Find the probability that a single claim, chosen at random, will be less than \$690. Answer: 0.4879   (b) Now suppose that the next 90 claims can be regarded as a random sample...

Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that...

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 480 babies were born, 264 of them were girls. Use the sample data to construct a 99% confidence...

The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%). The sample statistics from one experiment include 560 peas with 117 of them having yellow pods. Find the value...

A politician is concerned with winning an upcoming election. What null hypothesis is he testing if he commits a Tupe 1 Error when he says that he will win the election? Explain.

Give an example of a hypothesis where a Type 1 Error would be more critical if made than a Type 2 Error. Explain why.