Original document privately held in Schoology

Question 1

The data for this test is the number of children per group in groups that visited the house on Halloween 2010. Due to the amount of data, the data is recorded in multiple columns instead of as a single column. Use the data in all multiple columns as a single sample. Calculate the sample size, mean, standard deviation and other statistics on all of the data in the columns.

Halloween Group Sizes Fall 2010, Number of children per group:

4 2 3 1 3 8 20 5 2 4 17 1 3 5 5 3 2 3 6 5 19 5 2 8 5 12 6 8 4 2 7 1 4 2 1 3 2 3 4 4 3 2 3 5 4 2 2 2 15 1 6 2 9 4 1 2 3 1 3 3 8 6 3 5 6 15 4 12 3 7

Halloween Group Sizes Fall 2015, Number of children per group:

3 4 4 2 1 3 9 2 1 2 2 2 1 30 45 9 3 3 4 5 3 4 1 2 8 4 7 3 8 6 1 5 4 2 1 35 3 3 3 2 2 5 1 2 2 3 20 4 2 1 1 2 4 15 3 8 2 2 52 9 19 9 7 3 2 3 3 11 1 26 10 7 3 6 3 1 5 4 8 2 10 8 21 13 6 1 7 2 7 2

What is the level of measurement for the data?

a nominal

b ordinal

c interval

d ratio

Question 2 Calculate the sample size n: Question 3 Calculate the sample mean: Question 4 Calculate the sample standard deviation sx: Question 5 Calculate the standard error of the sample mean SE: Question 6 Calculate tcritical for a confidence level c of 95%: Question 7 Calculate the margin of error for the sample mean E: Question 8 Calculate the lower bound of the 95% confidence interval for the possible population mean: Question 9 Calculate the upper bound of the 95% confidence interval for the possible population mean: Question 10 The average household size for Pohnpei is 5.7 persons per family. How does the Halloween group size sample compare? Based on the 95% confidence interval for the sample mean, could the population mean for the Halloween group size data be 5.7 persons? Yes, 5.7 is a possible population mean group size for the Halloween group size sample No, 5.7 is not a possible population mean group size for the Halloween group size sample Question 11 Given the hypothesis test: H_{0}: μ = 5.7 H_{1}: μ ≠ 5.7 Should you reject the null hypothesis or fail to reject the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis Question 12 Determine alpha for a confidence level c of 95% for a two-tailed distribution: Question 13 Calculate the degrees of freedom for the sample: Question 14 For the above alpha and degrees of freedom, calculate tcritical: Question 15 Calculate the t-statistic for the sample using an expected population mean μ of 5.7: (If negative, include the negative sign) Question 16 Based on whether the absolute value of the tstatistic is less than/more than tcritical, whether |t|< tc or |t| > tc, do you reject or fail to reject the null hypothesis of a possible population mean of 5.7? |t| > tc therefore reject the null hypothesis that the population mean could be 5.7 |t| < tc therefore fail to reject the null hypothesis that the population mean could be 5.7 Question 17 Calculate the p-value for a two-tailed distribution: Question 18 Thoughtful insight required: How many children visited the house that evening?