The questions are in the photos below: I would all of them solved, and the correct answer options too.

Question 12 Not yet answered Marked out of 1.00 V Flag question A few years ago, a cola manufacturer invited New Zealand consumers to take a blind taste test. Consumers were asked to decide which of two sodas, Brand 1 or Brand 2, they preferred. The manufacturer was interested in determining what factors played a role in people's taste preferences. One of the factors studied was which part of New Zealand the consumers lived in, and for this purpose the manufacturer divided consumers into South Islanders and North Islanders. If the true consumer population proportion of North Islanders who prefer Brand 1 is pN and the true consumer population proportion of South Islanders who prefer Brand 1 is p5, what null and alternative hypotheses should be used to test whether a larger proportion of North Islander consumers than South Islander consumers prefer Brand 1? Selectone: O a. HoIPN'Ps=0. HaiPN'PsZO O b-HoipN-Ps=0,HaiPN-Ps0 O C-HoiPN'Ps>0,HaiPN'Ps=0 O d-HoipN'Ps=0.HaZPN'Ps>0 Question 15 Not yet answered Marked out of 100 '7 Flag question A food company is interested in whether there is a geography-related difference in the proportion of people who prefer a particular well-known brand of chocolate (brand X). Say the true population proportion of North Islanders who prefer brand X is pN and the true population proportion of South Islanders who prefer brand X is ps. The company's statistician conducts a test using the following pair of null and alternative hypotheses: H0 : pN - p3 = 0, Ha : pN - ps i O. The statistician takes a random sample of 65 North Islanders and a random sample of 60 South Islanders and is able to calculate a test statistic of 2.5. Use the test statistic given to calculate the appropriate P-value for this hypothesis test. Enter your answer, correct to 4 decimal places, into the box below. (Hint: remember to take account of whether a one-tailed or two-tailed test is being used.) Answer: Question 1 Not yet answered Marked out of 1.00 F Flag question A sample that does not provide a good representation of the population from which it was collected is referred to as a(n) sample. Select one: Q a. biased O b. inferential O c. empirical 0 d. statistic Question 16 Does the potency of drug reduce after one year in storage? Not yet answered To test this, researchers plan to compare the average potency of a sample of recently produced bottles of the drug with the average potency of a sample of bottles of the drug that have been stored for a year. Marked out of 1.00 They will test for evidence that the mean potency score for the fresh drug (M1) is higher than the mean potency score for the Flag stored drug (M2). question Based on the information provided, which of the following sets of hypotheses is appropriate for the test? Select one: O a. Ho: M1 - M2 = 0, Ha: M1 - 12 # 0 O b. Ho: M1 - 12 = 0, Ha: M1 - 12 > 0 O c. Ho: M1 - 12 = 0, Ha: M1 - 12 13.0 We will test at (alpha) (1 = 0.05. We have a sample size of n = 20. After analysing the data we calculate the test statistic t = 2.683. What is the P-value for the test? Hint: consider the alternative hypothesis Ha carefully: what tall are you 'interested in'? Select one: Q a. 0.050 o b. 0.007 O c. 0.993 0 d. 0.004 Question 13 Not yet answered Marked out of 1.00 F Flag question New Zealand requires cyclists to wear cycle helmets on public roads and this is enforced with fines. Most other countries have no mandatory helmet law, and a few have a law but do not enforce it. Finland is an example of a country that has a mandatory cycle helmet law but does not enforce it. A road safety researcher is interested in whether the proportion of cyclists in New Zealand do actually wear helmets is different to the proportion of cyclists in Finland who wear helmets. She has data from a survey which gives the following information: New Zealand: Of 220 New Zealand cyclists surveyed, 90 wear a helmet while cycling. Finland: Of 690 Finnish cyclists surveyed, 240 wear a helmet while cycling. Say that the true population proportion of New Zealand cyclists who wear a helmet is p1 and the true population proportion of Finnish cyclists who wear a helmet is p2. If our null hypothesis is Ho: p1 p2 = 0 and our alternative hypothesis is Ha: p1 - p2 :2 0, what is the 2 test statistic for testing the difference p1 - p2? Calculate this 2 test statistic and enter your answer, correct to 3 decimal places, into the box below. (Use Excel to perform the whole calculation without rounding intermediate results.) Answer: Question 17 A real estate agent wants to see if mean land values in two neighbourhoods are different. Not yet Which of the following sets of hypotheses would we use to test whether the mean land value in neighbourhood 1 (M1) is answered different to the mean land value in neighbourhood 2 (M2)? Marked out of 1.00 Select one: Flag question O a. Ho: M1 - M2 > 0, Ha: M1 - M2 50 O b. Ho: M1 - 12 = 0, Ha: M1 - 12 0 O c. Ho: M1 - M2 = 0, Ha: M1 - 12 0Question 4 Not yet answered Marked out of 1.00 V Flag question Private colleges rely on money contributed by individuals and corporations for their operating expenses. Much of this money is put into a fund called an endowment, and the college spends only the interest earned by the fund. A recent survey of eight private colleges in the United States revealed the following endowments (in millions of dollars): 60.2, 47.0, 235.1, 490.0, 122.6, 177.5, 95.4, and 220.0. Summary statistics yield a sample mean of 180.975 and sample standard deviation of 143.042. Assuming that the endowments held by private colleges follow an approximately normal distribution, calculate a 99% confidence interval for the mean endowment of all private colleges in the United States. We are standardising i with i so we will need to use the t distribution to calculate t* (rather than using the Standard Normal \\f distribution to calculate 2*). Select one: 0 180.975 :1: 169.692 0 180.975 :1: 176.979 0 180.975 :1: 181.387 0 180.975 1: 189.173 Question 14 Not yet answered Marked out of 1.00 F Flag question A food company is interested in whether there is a geography-related difference in the proportion of people who prefer a particular well-known brand of chocolate (brand X). Say the true population proportion of North Islanders who prefer brand X is pN and the true population proportion of South Islanders who prefer brand X is ps. The company's statistician conducts a test using the following pair of null and alternative hypotheses: Ho : pN - p3 = 0, Ha : pN - p5 at 0. The statistician takes a random sample of 65 North Islanders and a random sample of 60 South Islanders and is able to calculate a test statistic of 2.5. Use the test statistic given to calculate the appropriate P-value for this test of hypothesis. Select the correct value from the list below. (Hint: remember to take account of whether a one-tailed or two-tailed test is being used.) Select one: 0 a. 0.0124 0 b. 0.0076 0 c. 0.0152 0 d. 0.0062 Question 2 Not yet answered Marked out of 1.00 V Flag question Suppose that we are interested in how much money the average football fan spends on food at a single football game. To try to answer this, we asked 57 randomly selected football fans at a game how much money they had spent on food. The sampled results show that the sample mean and standard deviation were NZ$35.00 and NZ$1'|.72, respectively. Use the sample statistics to calculate an estimate of the standard error for the sample mean. Give your answer to 2 decimal places. Answer: Question 9 Not yet answered Marked out of 1.00 '(7 Flag question We are performing a twotailed hypothesis test for the population mean u using the following pair of hypotheses: H0211 :04 vs. Ha: u #- 0.4 We will test at (alpha) 0 = 0.05. We have a sample size of n = 50. After analysing the data we calculate the test statistic t = -2.'|43. What is the P-value for the test? Hint: consider the alternative hypothesis Ha carefully: what kind of test are you doing? How should you calculate the P-value for the test statistic? Select one: Q a. 0.032 O b. 0.037 O c. 0.981 Q d. 0.019 Question 11 Not yet answered Marked out of 1.00 '7 Flag question A newspaper recently ran an article indicating differences in perception of sexual harassment on the job between men and women. The article claimed that women perceived the problem to be much more prevalent than did the men. One question asked of both men and women was "Do you think sexual harassment is a major problem in the New Zealand workplace?" 24% of the men and 62% of the women responded "Yes." The newspaper created a 99% confidence interval for the true difference in proportions (men-women) and reported it to be (-0.28 to O.48). Based on this confidence interval, what can be said about the true proportions? Select one: Q a. Nothing can be said as negative proportions are meaningless. O b. At the 99% confidence level, the true proportion of all women equals the true proportion of all men who believe that sexual harassment is a major problem in the New Zealand workplace. 0 c. At the 99% confidence level, the true proportion of all women exceeds the true proportion of all men who believe that sexual harassment is a major problem in the New Zealand workplace. 0 d. At the 99% confidence level, the true proportion of all men exceeds the true proportion of all women who believe that sexual harassment is a major problem in the New Zealand workplace. Question 7 Not yet answered Marked out of 1.00 '7 Flag question A discount airline allows staff 34.0 minutes between flights to clean the aircraft interior. The aircraft workers union claims that that average time that it takes to this cleaning is more than 34.0 minutes. They want to carry out a hypothesis test. They take a random sample n = 32 flights and time how long it takes to carry out the cleaning. They find that the sample mean is 37.83 minutes and the sample standard deviation is 4.74 minutes. Calculate the test statistic for this test and enter your answer below. Give your answer to 2 decimal places. This will be a t-test statistic because we are standardising the sample mean using an estimate for the standard error (based on s, the sample standard deviation). Answer: Question 5 Not yet answered Marked out of 1.00 '7 Flag question The lifetime of a certain brand of batteries is known to be normally distributed. A sample of 21 batteries gives a mean lifetime of 134.0 hours with a standard deviation of 7.0 hours. Use Excel to calculate the upper limit of a 95% confidence interval for the mean lifetime of batteries of this brand. Give your answer to 1 decimal place. We are standardising )2 with distribution to calculate 2*). Answer: S W so we will need to use the t distribution to calculate t* (rather than using the Standard Normal Question 6 Not yet answered Marked out of 1.00 V Flag question A pharmaceutical company claims its painkiller tablet will start acting to reduce pain in 10 minutes or less, on average. To test this, scientists at the drug regulatory authority plan to carry out a hypothesis test using the hypotheses H0: p = 10 against Ha: p > 10. They take a random sample of n = 49 people. For each person they artificially induce a headache and use sophisticated equipment to record the time that it takes for the painkiller to start to have an effect on the person's nervous system. The sample mean is 12.21 minutes and the sample standard deviation is 4.47 minutes. Select the correct test statistic (calculated to 3 decimal places) for this test from the list below. This will be a t-test statistic because we are standardising the sample mean using an estimate for the standard error (based on s, the sample standard deviation). 0 a. 3.461 o b. 2.263 O c. 3.235 o d. 3.913