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The Mum Water Company produces and distributes Mum bottled water in Bangladesh. The company wants to determine whether customers have a higher preference for its

The Mum Water Company produces and distributes Mum bottled water in Bangladesh. The

company wants to determine whether customers have a higher preference for its bottled water

than for its main competitor, Fresh bottled water. The Mum Water Company hired a statistician

to conduct this study. The statistician selected a random sample of 10 people and asked each of

them to taste one sample of each of the two brands of water. The customers did not know the

brand of each water sample. Also, the order in which each person tasted the two brands of water

was determined randomly. Each person was asked to indicate which of the two samples of water

he or she preferred. The following table shows the preferences of these 10 individuals.

Person Brand Preferred

1 mum

2mum

3mum

4. Mum

5fresh

6fresh

7mum

8 neither

9mum

10mum

Based on these results, can the statistician conclude that people prefer the Mum brand of bottled

water over the Fresh? Test at 1% significance level with appropriate null and alternative

hypotheses mentioning all six necessary steps.

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