For Z test for mean one can increase or decrease p-value by increasing or decreasing sample size. a) True b) False
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For Z test for mean one can increase or decrease p-value by increasing or decreasing sample
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- A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score, 4, on this subsection among the general population. You decide that you'll use the mean of a random sample of scores on this subsection to estimate L. What is the minimum sample size needed in order for you to be 90% confident that your estimate is within 5 of u? Use the value 21 for the population standard deviation of scores on this subsection. Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.) ?Yolanda Gonzales owns and manages a small business in San Francisco, California. The business provides breakfast and brunch food, via carts parked along sidewalks, to people in the business district of the city. Being an experienced businessperson, Yolanda provides incentives for the four salespeople operating the food carts. This year, she plans to offer monetary bonuses to her salespeople based on their individual mean daily sales. Below is a chart giving a summary of the information that Yolanda has to work with. (In the chart, a "sample" is a collection of daily sales figures, in dollars, from this past year for a particular salesperson.) Sample Sample Sample size Groups mean variance Salesperson 1 116 204.2 2252.4 Salesperson 2 86 221.6 2572.6 Salesperson 3 63 198.7 2231.6 Salesperson 4 95 210.4 2346.7 Send data to calculator Send data to ExcelWrite the null and hypothesis for this test.
- A tax collector wishes to see if the mean values of the tax-exempt properties are different for two cities. The values of the tax-exempt properties for the two random samples are show. The data are given in millions of dollars. At the 0.05 level of significance, is there enough evidence to support the tax collector's claim that the means are different? CITY A : 113 22 14 8 25 23 23 30 44 11 19 7 31 19 5 2 CITY B: 82 295 12 20 11 50 68 16 5 12 81 4 15 9 2 5 What is the sample standard deviation for city A?Each person in random samples of 227 male and 293 female working adults living in a certain town in Canada was asked how long, in minutes, his or her typical daily commute was. Is there enough evidence to show that there is a difference in mean commute times for male and female working residents of this town? (Use males females) Male Female Sample size X S Sample size x S 227 30.2 24.0 293 27.9 24.3 Find the test statistic. (Round your answer to two decimal places.) Find the df. (Round your answer down to the nearest whole number.) df= Use technology to find the P-value. (Round your answer to four decimal places.) P-value= Is there enough evidence to show that there is a difference in mean commute times for male and female working residents of this town? Use a significance level of 0.05. Yes NoWeek 9 – Hypothesis Testing oExamples of null and alternative hypotheses that are one and two sided, explaining how to distinguish between them. oExamples of z-test for proportion, z-test for mean, t-test for mean with explanations of when you use each one and why, with computations. oInterpretations of p-values for each of the above with context
- Plzz explain a and bTo study how well rats can learn, behavioral scientists used a sample of rats in a maze experiment. Each rat had to find itway through a maze to reach a treat at the end. The rat was timed on its first trial run and again on its tenth eighth trial run. The difference in the times was recorded for each rat. Which of the following is the most appropriate procedure for the scientists to use? A- A matched pair t-interval for a mean diffderence B- A two sample t interval for a difference between means C- a one sample t interval for a sample difference D-A one sample z interval for a population proportion E- A two sample z interval for a difference between proportions5A professor at a local. universily ok her students were hormally distnibuted with a mean of noted that the grade 78 and a Standard deviahon of 1o. a The profesor has informed us Hhat 16.6 percent of her Students recieved arades of A. What is the minium Score Ineeded to receive a grade of A? 1 12.1percent of her students failed the course and reci F3, What was the maximum s core those who recieve- among Cf 33 percent of the students recieve d grades B or bet A's and B's), What is the minimum Score of Those who a ber higher !
- What does the t test for the difference between the means of 2 independent populations assume? A. The sample sizes are equal. B. The sample variances are equal. C. The populations are approximately normal. D. All of the aboveIn each situation, find the value of the standardized statistic for the sample mean, and indicate whether the standardized statistic is a t-statistic or a z-statistic. (Round your answer for part (a) to three decimal places.) (a) x = 195, u= 190, s = 21, n = 4 standardized statistic = it's t because s is used instead of o v (b) x = 195,H= 190, o = 25, n = 4 standardized statistic = it's z because o is known (c) x = 168,H= 190, s = 22, n = 25 standardized statistic = : it's t because s is used instead of oFor the given scenario, determine the type of error that was made if any.(begin by determining the null and alternative hypothesis). A new whitening toothpaste advertises for shades as the mean number of shades the toothpaste whitens your teeth. One user claims that the mean number of shades the toothpaste whitens your teeth is different from four shades. The user conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality, the mean number of shades the two piece white is your teeth is for shade. Was an error made? If so, what type? A, B, C? A.Yes; type 2 error B.Yes; type 1 error C.No; correct decision
