In a bus company, the CEO has been claimed that the average waiting time for a b is not more than 20 minutes. A random sample of 16 customers were asked to time their waiting time their responses (in minutes) are as follows: 15 20 25 30 29 35 24 33 18 18 14 19 21 25 27 40 By using 5 % significance level, can you conclude that the claim of the CEO is true assuming that the population distribution is normally distributed? Use p-value approach to present your answer.
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- In 2005, Health Canada claimed that 16.9% of Canadian adults are obese. A researcher wanted to check whether this percentage has changed in 2009. In 2009, he randomly selected 90 Canadian adults and found 12 of them are obese. Use a 7% significance level. The decision rule is either Reject Ho if Zcalc > 1.48 Reject Ho if Zcalc > 1.81 Reject H0 if Zcalc < -1.81 or Zcalc > 1.81 Reject H0 if Zcalc < -1.48 or Zcalc > 1.48A hand consists of 44 cards from a well-shuffled deck of 52 cards. a. Find the total number of possible 44-card poker hands. b. A blackblack flush is a 44-card hand consisting of all blackblack cards. Find the number of possible blackblack flushes. c. Find the probability of being dealt a blackblack flush.Suppose an instructor would like to know if there is difference in the performance of her two courses of 560 students each. She proceeds to take a random sample of size 50 from each independent class and was able to establish the following results: mean SD Class 1 86 17 Class 2 78 15 Is there a significant difference between the two classes at a significance level of five percent?
- The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Hours 46 49 58 55 49 68 45 48 46 45 51 50 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Hours 49 40 58 52 49 70 49 59 47 49 53 55 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Hours 47 47 55 51 48 65 51 52 50 49 51 54 What are the correct hypotheses? Ho: Select an answer ✓ ? ✓ Ha: Select an answer ✓ Test Statistic= hours Based on the hypotheses, find the following: p-value= hours (Give answer to at least 4 decimal places.) (Give answer to at least 4 decimal places).
- The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor the same year. Using a 0.05 significance level, test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0. This claim would indicate that the Best Actresses are generally younger than Best Actors. Actress (years) 27 30 31 27 37 28 29 40 30 32 Actor (years) 66 33 40 34 27 34 48 42 41 43 State the claim, null, and alternative hypothesis. Claim: μd 0 HO: μd 0 H1: μd 0The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 1% level of significance. Give answer to at least 4 decimal places. Hours 45 50 60 50 48 61 54 49 50 48 55 50 (a) Determine the null and alternative hypotheses? Họ: Select an answer v hours H1: Select an answer hours (b) Determine the test statistic ? (c) Determine the p-value. p-value = (d) Make a decision. O Accept the alternative hypotheis Accept the null hypothesis Do not reject the null hypothesis O Reject the null hypothesisThe type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number of Households in the Community Percent of U.S. Type of Household Households Married with children 26% 110 Married, no children Single parent One person Other (e.g., roommates, siblings) 29% 101 32 25% 98 11% 70 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the nul and alternate hypotheses. O Ho: The distributions are different. H: The distributions are the same. O Hg: The distributions are the same. H: The distributions are different. O Hg: The distributions are the same. H: The distributions are the same. O Hg: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test…
- A polling company contends that an agent conducts a mean of 53 in-depth home surveys every week. A streamlined survey form has been introduced, and the company wants to evaluate its effectiveness. The number of in-depth surveys conducted during a week by a random sample of agents are: 50 55 58 54 60 52 59 62 60 60 51 53 57 59 56 If we want to test at the .05 level of significance, whether the mean number of interviews conducted by the agents is more than 53 per week, which of the following findings would be correct? Select one: a. The test statistic, critical value are 1.034 and 1.761 respectively and the decision is not to reject the Ho. b.The test statistic, critical value are 3.667 and 1.761 respectively and the decision is to reject the Ho. c. The test statistic, critical value are 3.7378 and 1.761 respectively and the decision is to reject the Ho. d. The test statistic, critical value are 1.034 and 1.761 respectively and the decision is not to reject the Ho. e. The test statistic,…The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Hours 48 43 58 51 45 62 47 55 49 49 52 53 a. What are the correct hypotheses? Ho: Select an answer H₁: Select an answer b. Test Statistic = Based on the hypotheses, find the following: c. p-value = ? 0 ? 0 d. The correct decision is to Select an answer Add Work hours hours e. The correct summary would be: Select an answer hours of all employees at start-up companies work more than the US mean of 47 hours. that the mean number of
