Question 1 The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°F. Past results has indicated that the standard deviation of temperature is 2°F. The water temperature is measured on 10 randomly chosen days, and the results are shown below: 96.15 97.81 97.09 95.03 99.46 100.03 99.74 98.85 95.08 98.71 a. State the null hypothesis and alternative hypothesis for the above problem. b. Is there evidence that the water temperature is acceptable at a = 0.01?
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- A particular fruit's weights are normally distributed, with a mean of 515 grams and a standard deviation of 36 grams. The heaviest 13% of fruits weigh more than how many grams? Give your answer to the nearest gram. Enter an integer or decimal number [more..] Submit Question 2 Type here to search hp esc 12 fs 2 3 4 LO 远 %24 %2355°F Clear Heights were measured for a random sample of 15 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 50 centimeters and 12 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean u. Based on the sample, can it be concluded that μ is different from 42 centimeters? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 H₁ : (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) Jxplanation Check O Search C 3…According to United States Department of Agriculture, the average retail price of conventional whole milk at New York City in the year 2020 (up to November 2020 considered) is $3.92 per gallon. The standard deviation in the retail prices in the year 2020 (up to November 2020 considered) is $0.084. You are given a task of selecting randomly a sample of 85 milk bottles (whole milk of 1 gallon volume). a. Calculate µx̅ and σx̅. b. What is the approximate probability that the sample has a mean retail price that exceeds $4.05? c. What is the approximate probability that the sample has a mean retail price between $3.91 and $3.94?
- You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 21 Model A washing machines is $215. Assume the population standard deviation is $19. The mean repair cost of 22 Model B washing machines is $221. Assume the population standard deviation is $20. At α=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed.You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=38.7σ=38.7. You would like to be 98% confident that your estimate is within 5 of the true population mean. How large of a sample size is required?Use z scores to compare the given values.Based on sample data , newborn males have weights with a mean of 3242.5 g and a standard deviation of 687.2 g . Newborn females have weights with a mean of 3085.4 and a standard deviation of 829.1 g . Who has the weight that is more extreme relative to the group from which they came : a male who weighs 1500 g or a female who weighs 1500 ?
- A standardized test is given to a sixth-grade class. Historically the mean score has been 151 with a standard deviation of 21. The superintendent believes that the standard deviation of performance may have recently decreased. She randomly sampled 23 students and found a mean of 161 with a standard deviation of 18.2898. Is there evidence that the standard deviation has decreased at the α=0.05 level? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5 : Make the decision. Step 5 of 5 : What is the conclusion?Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3282.7 g and a standard deviation of 689.7 g. Newborn females have weights with a mean of 3017.5 g and a standard deviation of 722.2 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1500 g or a female who weighs 1500 g? Since the z score for the male is z = more extreme. (Round to two decimal places.) and the z score for the female is z = [ =, the has the weight that isThe average price of a sample of 12 bottles of diet salad dressing taken from different stores is $1.43. The standard deviation is $0.09. The average price of a sample of 16 low-calorie frozen desserts is $1.03. The standard deviation is $0.10. At α = 0.05, is the price of salad dressings significantly higher than the price of frozen desserts?
- Researchers at the National Weather Center in Portland, Maine recorded the number of 90° days each year since records were first kept, starting in 1875. The number of 90° days form a normal-shaped distribution, with a mean of μ = 9.6 days and a standard deviation of σ = 1.9. To see if the data showed any evidence of climate change (and specifically global warming), they also computed the mean number of 90° days for the most recent n = 4 years and obtained a mean number of days for the past four years of x̅ = 12.25 days. Using a one-tailed test with α = .05, the researchers completed the calculations, but they need your help in drawing an appropriate conclusion. (According to their calculations, the standard error is sM = 0.95, and the sample mean of x̅ = 12.25 days corresponds to a z-score of z = 2.79.) Using the same one-tailed test (α = .05), determine if the data indicate that the past four years have had significantly more 90° days than would be expected for a random sample from…You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 24 Model A washing machines is $209. Assume the population standard deviation is $20. The mean repair cost of 27 Model B washing machines is $215. Assume the population standard deviation is $24. At α=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state H0 and Ha. What is the claim? A. The mean repair costs for Model A and Model B are equal. B. The mean repair cost for Model A is greater than Model B. C. The mean repair costs for Model A and Model B are different. D. The mean repair cost for Model A is less than Model B. Let μ1 be the mean repair cost for Model A and let μ2 be the mean repair cost for Model B.…A study determined that the average student who graduates takes 58 months to graduate from college with a bachelor's degree and a standard deviation of 10 months. The distribution was approximately normal. What percentage of college graduates will take longer than 4 years (48 months)? 34.1% 34.1% 13.6% 15.6% 83% 23 15.9% 47.7% O84.1% 97.7% 56°F Clou