Question

A machine is designed to mix nuts so that 40% of the resulting product will consist of pecans, 10% will be cashews, 25% will be almonds and 25% will be peanuts. A sample of 180 nuts is taken and it is found that 67 are pecans, 30 are cashews, 40 are almonds and 43 are peanuts. Do the data suggest that the machine is mixing nuts in conformity with its design? Test at αα = 0.01.

Report all answers to three decimal places.

(a). Complete the table of observed counts:

Pecans	Cashews	Almonds	Peanuts
67	30		43

(b). Complete the table of expected counts:

Pecans	Cashews	Almonds	Peanuts
72		45	45

(c). Complete the table of contributions to the chi square test statistic:

Pecans	Cashews	Almonds	Peanuts
	8	0.556	0.089

(d). Using your answers from part (c), the test-statistic is  

(e). The degrees of freedom are

(f). The critical value is  

(g). You decide to Select an answer reject fail to reject  the null hypothesis and conclude that the machine Select an answer is is not  mixing nuts in conformity with its design.

A machine is designed to mix nuts so that 40% of the resulting product will consist of pecans, 10% will be cashews. 25% will be almonds and 25% will be peanuts. A sample of 180 nuts is taken and it is found that 67 are pecans, 30 are cashews, 40 are almonds and 43 are peanuts. Do the data suggest that the machine is mixing nuts in conformity with its design? Test at a-0.01. Report all answers to three decimal places (a). Complete the table of observed counts Pecans Cashews |Almonds Peanuts 67 30 40 43 (b). Complete the table of expected counts Pecans Cashews Almonds Peanuts 72 18 45 45 (c). Complete the table of contributions to the chi square test statistic Pecans Cashews |Almonds Peanuts 0.556 0.089 (d). Using your answers from part (c), the test-statistic is (e). The degrees of freedom are (f). The critical value is (g). You decide to Select an answer the null hypothesis and conclude that the machine Select an answer mixing nuts in conformity with its design,

Answer 1