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Maine Coons are the largest breed of domestic cat. Suppose the average healthy body weight of adult males of this breed is 18lb. One veterinarian suspects that a popular brand of cat food is more fattening than normal, and wants to be able to discourage owners of her patients from using that brand. She collects data on 10 healthy patients (adult male Maine coon cats) that present at her clinic for an annual exam that also eat this brand of cat food, and obtains the following data on their weight rounded to the closest integer (in lbs):
17 23 15 21 28 26 18 22 24 18
If the weight distribution is known to be normally distributed, do the data support the veterinarian's suspicion? Conduct a hypothesis test at the 5% significance level. Define your parameter (μ), state your hypotheses, conduct the test and write a conclusion.
Estimate the probability that the machine will overflow an 8 oz cup.
Test hypothesis that both propellants have same mean burning rate. Utilize α=0.05. Compute the P value.
Public transportation and the automobile are two methods an employee can use to get to work each day. Samples of times recorded for each method are shown. Times are in minutes.
Shall we reject the hypothesis that the population mean is 6.0? Interpret the result.
Is there evidence that population mean amount is different form 8.17 ounces? (Use a 0.05 level of significance.) with sample standard deviation of 0.051 ounce.
Which sessions, morning or afternoon, had more stable or uniform attendance over three-day period? Describe by using the suitable calculation for each data set and compare two calculations .
Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.
Test the hypothesis that the annual incomes of corporate trainers in areas of more than 500,000 are significantly more than those in areas of less than 100,000.
Construct the following confidence intervals for your data set:
An aptitude test has a mean of 220 and standard deviation of 10. find the corresponding z score for:
How many of these new cardholders would you expect to default? What is the standard deviation?
The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds.
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