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A soft-drink manufacturer claims that its 12-ounce cans do not contain, on average, more than 30 calories. A random sample of 16 cans of this soft drink, which were checked for calories, contained a mean of 31.8 calories with a standard deviation of 3 calories. Assume that the number of calories in 12-ounce soda cans is normally distributed.
a) State the null and alternative hypotheses.b) Select the distribution to use. Explain briefly why you selected it.c) Assuming that they wish to test the claim at alpha = 0.025, determine the rejection and non rejection regions based on your hypotheses in a). State the critical value.d) Calculate the value of the test statistic.e) Does the sample information support that the manufacturer's claim is false? Explain your conclusion in words.
Determine the t values that form boundaries of critical region for two-tailed test with a = .05 for each of the given df values.
The accuracy of the scanner price of each. Let x represent the number of the five items that is priced incorrectly. Use the information in the FTC study to estimate p for the binomial experiment.
Find the probability of accepting a lot as a function of the actual fraction of defective chips. In particular, let the actual fraction of defective chips in a given lot equal any of 0.02, 0.04, 0.06, 0.08, 0.10, 0.12, 0.14, 0.16, 0.18. Then compu..
Calculate the probability that fewer than half of the patients are chain smokers. b) suppose that 20 patients with lung cancer are admitted to the hospital.
Find out the probability distribution of blood types by gender in the group of 1000 individuals.The table below gives the distribution of blood types by gender in a group of 1000 individuals.
Tom Sevits is the owner of the Appliance Patch. Recently Tom observed a difference in the dollar value of sales between the men and women he employs as sales associates.
Your regional manager is impressed with how you've employed spreadsheets to aid your small company in saving time and more accurately figuring out payroll amounts.
For the new study, the estimate should be within 1% of the population proportion with a 90 percent confidence level. What is the necessary sample size?
Upon reviewing the accounting records from the restaurant, you discover that it grosses roughly $3000 per day on 6 out of 10 days. Determine the estimated probability that the restaurant will gross over $3000:
Give a brief definition and an example of the following: a. Descriptive Statistics b. Inferential Statistics
The probability of error in the transmission of a binary digit over a communication [2] channel is 1=103. Write an expression for the exact probability of more than 3 errors when transmitting a block of 103 bits. What is its approximate value? Ass..
What is the probability that a cereal would be high calorie given that its high fiber?(6)what is the probability that a cereal would be high calorie given that its low fiber?
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