(a) Suppose a market analyst wishes to see whether consumers have any preference among five flavors of a new fruit soda. A sample of 1000 people provided the following data: Apple 320 Strawberry 280 Test at 10% significance level whether customers show no preference for flavours. Orange 160 Lime 140 Grape 100
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- What is meant by the sample space of an experiment?What is a sample space?Quinn, a market analyst at Chips 4U vending machine company, wants to determine the best allocation of snacks throughout schools in a school district where the company recently won a contract to install snack machines. In particular, Quinn wants to determine whether there is a relationship between grade level and snack preference. A random sample of 130 students is surveyed, and their school level and preferred snack are given in the table. SNACK granola bar peanuts pretzels chocolate bar TOTAL ELEMENTARY 32 10 17 20 79 Expected: HIGH SCHOOL 15 7 20 9 51 Expected: TOTAL 47 17 37 29 130 Complete the contingency table by entering the expected values (round to 2 decimal places). Then conduct an appropriate hypothesis test at alpha=0.02 . Determine the null and alternative hypotheses. �0: Grade level and student snack preferences both follow a uniform distribution.��: Grade level and student snack preferences follow some other distribution.…
- An ice-cream manufacturer wishes to determine whether there is a relationship between the gender of a teenager and their preferred flavor of ice cream. A survey of 200 teenagers produced the following results: Gender strawberry vanilla chocolate total Female 25 18 59 102 Male 32 29 37 98 Total 57 47 96 200 perform an appropriate test at a 5% level of significance to determine whether there is a relationship between the gender of teenagers and ice-cream flavor preferences. 2.) the financial manager of a national warehouse chain has found from previous experience that 45% of clients pay by credit card, 35% pay on account, while the reminder pay using cash. He wishes to know if this is still the case. A random sample of 1000 sales receipts from the last month produced the following results: Creditcard Account Cash Total No. Of receipts 500 315 185 1000 using a 1% significance level, test whether the payment method pattern has changed.When a person states at the outset of an experiment that a higher average score will be received by a group receiving some kind of treatment when it is compared to the mean of a group that did not receive the treatment, the need for a _________________ is apparent. a. one-tailed test b. two-tailed test c. an independent groups test d. a matched groups testA researcher wants to see if four different strategies to combat work fatigue are independent of the gender of the person using them. She draws a sample of 200 office workers, half of them women and half men, and obtains data on which strategy the participants use to combat fatigue at work. The four strategies are: Consumption of caffeine, taking a short “power” nap, exercise, and consumption of sugar. Is the preference for a particular method of combating drowsiness independent of gender? what statistical test should be used and why?
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