The cost per load ( in cents) of laundry detergents tested by a consumer organiz

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The cost per load ( in cents) of laundry detergents tested by a consumer organization are shown below...

Perform hand calculations with the use of calculators for the following problems. Show your work to receive full credit. 1. The cost per load ( in cents) of laundry detergents tested by a consumer organization are shown below Frequen Class limits 10-12 13-15 16-18 19-21 22-24 25-27 28-30 4 15 8 Find the mean, variance, and standard deviation. (10) 2. A market analyst wished to see whether consumers have any preference among five flavors of a new fruit soda. A completed table for the test is shown Grape 20 15 Orange Lime Strawberr 7 10.9 Che Observed. 25 Expected 21.2 8 5.9 10 17 With the level of significance =0.10, decide whether the observed values and the expected values are good fits. (10)

Explanation / Answer

1.

mean = xbar = 925/50 = 18.5

Variance = 868.5/50 = 17.37

std. dev. = sqrt(17.37) = 4.1677

2.

Test statistics = 0.1053

Critical test statistics is 7.7794

We fail to reject null hypothesis as test statistics is less than critical value.

Class Midpoints(x) Frequency(f) x*f (x-xbar)^2 f*(x-xbar)^2 10-12 11 6 66 56.25 337.5 13-15 14 4 56 20.25 81 16-18 17 14 238 2.25 31.5 19-21 20 15 300 2.25 33.75 22-24 23 8 184 20.25 162 25-27 26 2 52 56.25 112.5 28-30 29 1 29 110.25 110.25 Total 50 925 868.5

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