Mr. Manager at Bluth's Original Frozen Banana is analyzing the amount of time taken to produce a frozen banana covered in chocolate. He collected six such finished bananas, and their production time (in seconds) is in the table below. A sum of interest might be Σ(y₁ - y)² = 352. 45 61 p 37 51 47 41 What are the mean and standard deviation of the sample? Provide a 95% confidence interval for true mean production time.

In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 3030 scores from all of the students who took the test. She sees that the mean score is 169169 with a standard deviation of 7.06747.0674. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 1313. Is there evidence that the standard deviation of test scores has decreased at the α=0.005α=0.005 level? Assume the population is normally distributed. Step 1 of 5:  State the null and alternative hypotheses. Round to four decimal places when necessary. Step 2 of 5:  Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places.     Step 3 of 5:  Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5:  Make the…

You are conducting an experiment to examine the anxiety level of a group of Design Technology students. The population standard deviation o=4.8. You compute the mean and standard deviation of your sample and find that sample mean = 25.9 and sample standard deviation s = 5.3. What is the standard error of the sample mean if your sample size is 36? Give your answer to 2 decimal places.