Sequences

1. Define the following sequence . a. Show that and are monotone sequences. b. Show that and converge to the same limit. c. Find . d. If for some . Is ( ) still convergent. (see attachment)

Cauchy condensation and convergent series

see attachment 1. Prove the Cauchy condensation criterion 2. Which of the following series is convergent (justify your answer!).

Cauchy and sequences

see attachment 1. Let ( ) be a bounded sequence. Show that there exists a subsequence of ( ) converging to 2. Show that is not a Cauchy sequence Conclude that diverges.

Contractive sequence

see attachment a. Show that ( ) is a contractive sequence.

How to make histograms with M&M count data

Take the M&M data and the M&M data from all of your classmates (already attached info on this post) and make two histograms. Make two histograms from (1) the total count in each bag for yourself, and (2) from the average or mean from all the class members (my info is Kris). To make the histogram you can either make one by ...continues

Frequency histogram

Construct the frequency histogram for the following : Intervals frequencies 0-3 18 5-4 32 4-7 20 9-12 30 thank you

Owens Orchards sells apples in a large bag by weight. A sample of seven bags contained the following numbers of apples: 23, 19, 26, 17, 21, 24, 22. a. Compute the mean number and median number of apples in a bag.

Chapter 3, Exercise 60: Owens Orchards sells apples in a large bag by weight. A sample of seven bags contained the following numbers of apples: 23, 19, 26, 17, 21, 24, 22. a. Compute the mean number and median number of apples in a bag. b. Verify that _(X _ ) _ 0. Chapter 3, Exercise 62: The Citizens Banki ...continues

Stats

See attachment for formatting 1. The ages of all the patients in the isolation ward of the hospital are 38, 26, 13, 41, and 22. What are the population mean, variance, and standard deviation? 2. The weights of a sample of seven FedEx shipments, to the nearest pound, are 10, 7, 11, 1 ...continues

Significance level

A large department store hired a researcher to compare the average purchase amounts for the downtown store with that of its mall store.  The information shown was obtained.  At the 0.01 significance level can it be concluded that the mean amount spent at the mall store is larger?Estimate the p-value? Average purchase amount  Do ...continues

Independent government agency

An independent government agency is interested in comparing the heating is interested in comparing the heating cost of all-electric home and those of home heated with natural gas.  A sample of eight all-electric homes is matched with eight homes of similar size and other features that use natural gas.  The heating costs for Janu ...continues