Construct the indicated confidence interval for the population mean u using the t-distribution. Assume the population is normally distribute c=0.99, x= 14.1, s=0.93, n= 12 (Round to one decimal place as needed.)
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A: 1. Assume that μ is the population mean time to spoil if the banana is hung from the ceiling.
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- Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 95 % confidence. Assume that s=15 based on earlier studies.On average, a banana will last 6.6 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil different if the banana is hung from the ceiling? The data show results of an experiment with 14 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 7.9, 6, 5.5, 8.1, 7.9, 8.8, 6.6, 8.7, 6.2, 6.3, 8.6, 6.7, 8.5, 9.3 What can be concluded at the the α = 0.01 level of significance level of significance? a. For this study, we should use [t-test for a population mean b. The alternative hypothesis would be: H₁: Hv c. The test statistic d. Based on this, we should Select an answer e. Thus, the final conclusion is that ... Select an answer (please show your answer to 3 decimal places.) the null hypothesis.Assume that a sample is used to estimate a population mean µ. Find the margin of error M.E, that corresponds to a sample of size 11 with a mean of 65.6 and a standard deviation of 5.6 at a confidence level of 95%.
- The average monthly, entry-level salary for fresh graduates was reported as $2,800. A recruiting agency believed that the mean salary of fresh entry is lower than this. The recruiting office randomly surveyed 25 entry-level graduates and found that the sample means salary is $2,200, and the sample standard deviation is $1800. Assuming t- distribution is followed, answer the following questions. Use: H0 : u>2800 H1 : uConstruct the indicated confidence interval for the population mean y using the t-distribution. Assume the population is normally distributed. c = 0.90, × = 14.7, s = 4.0, n= 8 (_,_) (Round to one decimal place as needed.)In a sample of 23, the mean is x¯x¯ = 91.74 with a standard deviation of s = 9.87. Assuming the results follow a normal distribution, construct the 90% confidence interval for the population mean.
- How large of a sample is required for a to construct a 99% confidence interval around a mean with an error of less than 1.5. Assume the standard deviation is 42.In a randoms sample of six people, the mean driving distance to work was 19.7 miles and the standard deviation was 6.1 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean u. Interpret the results.On average, a banana will last 6.1 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil greater if the banana is hung from the ceiling? The data show results of an experiment with 13 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 7.4, 7.5, 7.9, 5.7, 5.9, 8.1, 4.8, 8.7, 6.8, 5.9, 8.2, 5.1, 5.1 What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use Correct The alternative hypothesis would be: H1:H1: Correct Correct Correct The test statistic Correct = (please show your answer to 3 decimal places.) Based on this, we should Correct the null hypothesis. Thus, the final conclusion is that ...
- Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…A veterinarian wants to estimate the mean weight of a cat in their city. They take a random sample of 19 cats and found a mean of 10.9 lbs with a sample standard deviation of 1 lbs. Find the 95% confidence interval of the mean. Assume that the cat weights are normally distributed. Do not round in between steps. Round answers to at least 4 decimal places.The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches