Answer the following with complete solution 1. Stephen has found that the average weight packed gummy candies selected from a normally distributed population is 200g with standard deviation of 8g. Find the point and interval estimates of all gummy candies using 99% confidence level. 2. An interview held among 18 randomly selected elementary teachers of a certain school, the mean salary was found to be 21,000 with standard deviation of 3,000. Estimate the population mean where the sample came from using 95% confidence.

Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 5 inches. The heights of 8 randomly selected students are 63, 60, 74, 68, 60, 66, 72 and 61. x¯ = Margin of error at 99% confidence level = 99% confidence interval =

Mrs. Gallas wanted to estimate the average weight of an Oreo cookie to determine if theaverage weight was less than advertised. She selected a random sample of 30 cookies andfound the weight of each cookie (in grams). The mean weight was = 11.1921 grams with astandard deviation of sx = 0.0817 grams. Make a 95% confidence interval to estimate the truemean weight of an Oreo.   1. What is the formula for calculating the standard deviation of the sampling distribution of x? 2.What condition must be met to use this formula? Has it been met?

A veterinarian wants to estimate the mean weight of a cat in their city. They take a random sample of 19 cats and found a mean of 10.9 lbs with a sample standard deviation of 1 lbs. Find the 95% confidence interval of the mean. Assume that the cat weights are normally distributed. Do not round in between steps. Round answers to at least 4 decimal places.

The average American consumes 97 liters of alcohol per year. Does the average college student consume a different amount of alcohol per year? A researcher surveyed 12 randomly selected college students and found that they averaged 79.1 liters of alcohol consumed per year with a standard deviation of 19 liters. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer ✓ c. The test statistic ? v = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value =

How would you solve this?

Show all steps/ calculator commans using a TI84 graphing calculator. Conduct a hypothesis test showing all of your steps. An insurance agent says the standard deviation of the total bill for hospital patients who were involved in serious vehicles accidents was less than $17,800. A random sample of 29 bills had a standard deviation of $16,023. Test the claim with a 0.10 level of significance. 1. State the hypotheses and label the claim. Is the test left-tailed, right-tailed, or two-tailed? 2. What is/are the critical value(s)? Draw a picture.  3. What is the test-statistic? 4. State the conclusion. Give one reason for your decision to reject/not reject H0 based on: 5.Test statistic compared to critical value Then, relate back to the original claim.

Suppose we have data coming from 69 i.i.d) observations. The sample mean is JÓ28 and the sample standard deviation is calculated to be 1.63. Find a 95% confidence interval for the true mean.

The Florida Department of Transportation (FDOT) would like to estimate the average speed of vehicles on 95. The mean speed , in miles per hour , of a random sample of vehicles was found to be 73 miles per hour. The standard deviation of the speeds of all vehicles on 1 - 95 is known to be 15 miles per hour . Find three different confidence intervals one with sample size 103, one with sample size 231, and one with sample size 370. Assume that the mean of each sample is 73 miles per hour . Notice how the sample size affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation . Round solutions to two decimal places, if necessary .

Please help with 1 a,b,c,d,e, and f.