Statistics and Probability Answers

A manufacturer of electronic components is in-

tested in determining the lifetime of a certain type

of battery. A sample, in hours of life, is as follows:

123, 116, 122, 110, 175, 126, 125, 111, 118, 117.

(a) Find the sample mean and median.

(b) What feature in this data set is responsible for the

substantial difference between the two?

The President of the Farmers Association wants to know how the amount of fertilizer and the amount of water given to plants affect their growth. The results were inputted into MINITAB so as to fit the model. Regression Analysis: Growth versus Water, Fertilizer The regression equation is Growth = 𝛽 + 𝜙 Water + 𝛼Fertilizer Predictor Coef SE Coef T P Constant 42.085 ** 3.118 0.009 Water 0.178 0.386 0.460 0.654 Fertilizer 5.790 0.952 6.083 * S = 6.159 R-Sq = 77.1%% R-Sq(adj) = 73.3% Analysis of Variance Source DF SS MS F P Regression 2 1532.603 766.301 *** **** Residual Error 12 455.130 37.928 Total 14 1987.733 i. Write out the regression equation [1] ii. What is the sample size used in this investigation? [1] iii. Determine the values of *, ** and ***, **** [3] iv. Conduct a hypothesis test, at the 5% level of significance, to determine whether 𝜙 is significant. 

The numbers 1, 4,7 make up the population. Consider all n=3 samples that can be collected from this population without being replaced. a) mean and standard deviation of the population, b) mean and standard deviation of the sample distribution of means and c) construct the probability histogram of x with replacement

The numbers 1, 4,7 make up the population. Consider all n=3 samples that can be collected from this population without being replaced. a) mean and standard deviation of the population, b) mean and standard deviation of the sample distribution of means and c) construct the probability histogram of x with replacement

Adults were asked their gender and the number of Facebook accounts they used. The following table summarizes the results:

Facebook AccountsMenWomen0106117642 or more2639Find the probability the person has no accounts or multiple accounts.

Gluten sensitivity, which is also known as wheat intolerance, affects approximately 15% of people. The condition involves great difficulty in digesting wheat, but is not the same as wheat allergy, which has more severe reactions. A random sample of 800 individuals is selected. a. Find the probability that the number of individuals in this sample who have wheat intolerance is

monthly salary of 6 employees in a supermarket.suppose that the random of sample of size 4 are taken from this population of six employees 8,12,16,20,24,28

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a​ girl, but assume that the method has no​ effect, so the probability of a girl is 0.5. Assume that the groups consist of 33 couples. Complete parts​ (a) through​ (c) below.