In the general population, height is normally distributed with a mean of 168.7 cm and a standard deviation of 11.2 cm. You wish to examine whether the basketballers at your local sports and recreation centre differ in height than the general population. You sampled 28 basketballers and measured their height which gave you a mean of 189.8 cm and a standard deviation of 8.5 cm. Calculate the upper limit of the 99% confidence interval. Give your answer to 2 decimal places.

The chocolate chip cookies that are produced at Perry’s Cookie Emporium have weights which are approximately normally distributed with the mean weight 180 grams and with standard deviations 20 grams. The cookies, however, are sold by count, not by weight. Perry wants to improve his image, so he decides to set aside lightest 20% of the cookies to be packaged and sold separately. What cookie weight will divide the lightest 20% from the heaviest 80%?

A random sample of 34 chemists from Washington state shows an average salary of $41857, the population standard deviation for chemist salaries in Washington state is $697. A random sample of 35 chemists from Florida state shows an average salary of $44632, the population standard deviation for chemist salaries in Florida state is $900. A chemist that has worked in both states believes that chemists in Washington make a different amount than chemists in Florida. At a=0.05 is this chemist correct? Let Washington be sample 1 and Florida be sample 2. The correct hypotheses are: Ο Ηο: μι μ2(claim) Ο Ηο: μι 2 με HAM12(claim) Ho: M₁ = H2 1 HAM12(claim) Since the level of significance is 0.05 the critical value is 1.96 and -1.96 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)

The 95% confidence interval of the variance of a population is computed as (12.367,21.761). Interpret this confidence interval.

A random sample of 64 shoppers showed that they spend an average of $27.31 per visit at the Sunday Mornings Bookstore. The standard deviation of the population is $2.14. Find the 90% confidence interval of the true mean. Please include all work showing how you found your answer.

a laboratory tested 36 chicken eggs and found that the mean amount of the cholesterol was 230 mg with s = 20 mg. Find a 90% confidence interval for the true mean cholesterol content of an egg.