1 On average, 4 out 5 customers think that electric cars will dominate the market in 20 years A random sample of 10 customers is selected Find (a) the probability that exactly 6 customers think that electric cars will dominate the market in 20 years (b) the probability that at least 1 customer thinks that electric cars will dominate the market in 20 years (c) the number of customers are expected to think that electric cares will dominate the marks in 20 years 2 (5 marks) Jake is performing a two tailed one sample t test Ha 6 8 5 with 5 significant level, based on a sample with 30 values He got the test statistics t 0 1 82 What decision should he make Why 3 Researcher selected a simple random sample of 5413 SUVs in Canada The observed frequencies of seven most popular SUVs are given in the second column of the follow table Observed Frequency in Canada Proportion in North America Nissan Rogue 990 0 2 Chevrolet Equinox 883 0 16 Honda CR V 875 0 17 Toyota RAV4 855 0 15 Ford Explorer 635 0 13 Jeep Grand Cherokee 585 0 10 Jeep Cherokee 590 0 09 Test that the proportions of SUVs in Canada differ significantly from those in the north America given in the third column of the above table at 1 significance level

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1. On average, 4 out 5 customers think that electric cars will dominate the market in 20 years. A random sample of 10 customers is

1. On average, 4 out 5 customers think that electric cars will dominate the market in 20 years. A random sample of 10 customers is selected. Find

(a) the probability that exactly 6 customers think that electric cars will dominate the market in 20 years.

(b) the probability that at least 1 customer thinks that electric cars will dominate the market in 20 years.

2. (5 marks) Jake is performing a two tailed one sample t-test Ha : 6= 8.5 with 5% significant level, based on a sample with 30 values. He got the test statistics t₀ = 1.82. What decision should he make? Why?

3. Researcher selected a simple random sample of 5413 SUVs in Canada. The observed frequencies of seven most popular SUVs are given in the second column of the follow table. Observed Frequency in Canada Proportion in North America Nissan Rogue 990 0.2 Chevrolet Equinox 883 0.16 Honda CR-V 875 0.17 Toyota RAV4 855 0.15 Ford Explorer 635 0.13 Jeep Grand Cherokee 585 0.10 Jeep Cherokee 590 0.09 Test that the proportions of SUVs in Canada differ significantly from those in the north America given in the third column of the above table at 1% significance level.