Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ.

The data below consists of the test scores of 32 students. Construct a 99% confidence interval for the population

A community psychologist selects a sample of 16 local police officers to test whether their physical endurance is better than the median score of 72. She measures their physical endurance on a 100-point physical endurance rating scale. Performance Scores 87 83 78 74 51 88 84 75 89 82 61 86 76 58 77 80 Based on the data given above, compute the one-sample sign test at a 0.05 level of significance. x=

Given the following prices and quantities

Compute and interpret the Laspeyres price index number for the year 2018 with 2008 as base.

Compute the interpret the Paasche’s price index number for the year 2018 with 2008 as base

The data show systolic and diastolic blood pressure of certain people. A) Find the regression​ equation, letting the systolic reading be the independent​ (x) variable. B) Find the best predicted diastolic pressure for a person with a systolic reading of 148. C)Is the predicted value close to 64.1​, which was the actual diastolic​ reading? Use a significance level of 0.05.

A random sample of size n₁ = 16 is selected from a normal population with a mean of 74 and a standard deviation of 9. A second random sample of size n₂ = 7 is taken from another normal population with mean 68 and standard deviation 11. Let X1and X2 be the two sample means. Find:

(a) The probability that X1-X2 exceeds 4.

(b) The probability that 4.8 ≤X1-X2≤ 5.6.

Round your answers to two decimal places (e.g. 98.76).

Develop a 95% confidence interval estimate that the higher the price of the car, the higher the road test scores using Excel.

A survey was given to 18 students. One question asked about the one-way distance the student had to travel to attend college. The results, in miles, are shown in the following table. Use the median procedure for finding quartiles to find the first, second, and third quartiles for the data. Distance Traveled to Attend College

46 50 18 26 64 78 4 38 44 44 10 70 74 44 86 32 26 48

Q1 =

Q2 =

Q3 =

Given the following grouped frequency distribution

Find the mean (give you answer to one decimal) =

Find the standard deviation (give your answer to two decimals) =

What is the shape of this distribution? Your answer will be hand graded.

Trials in an experiment with a polygraph include 98 results that include 24 cases of wrong results and 74 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results are correct less than 80​% of the time. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​P-value method. Use the normal distribution as an approximation of the binomial distribution.