For a population that is not normally distributed, the distribution of the sample means will ______ as the size of the sample increases.
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- Copy each table to the Word document and highlight theappropriate p-value. Under each table type the hypotheses, decision and summary, using the resultsfrom Excel, again you should not be doing the calculations by hand! A random sample of 16 students selected from the student body of a large university was selected. We wantto determine if the average age of all the students at the university is significantly different from 24. Assumethe distribution of the population of ages is normal. t-Test: Paired Two Sample for Means Variable 1 Variable 2 Mean 22.8125 0 Variance 10.5625 0 Observations 16 16 Pearson Correlation #DIV/0! Hypothesized Mean Difference 24 df 15 t Stat -1.461538462 P(T<=t) one-tail 0.082249947 t Critical one-tail 1.753050356 P(T<=t) two-tail 0.164499893 t Critical two-tail 2.131449546 I am struggling with the explanation. How would I write this out? Thanks!The average fruit fly will lay 389 eggs into rotting fruit. A biologist wants to see if the average will be fewer for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 358, 388, 362, 382, 371, 385, 384, 393, 403, 389, 405 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho? Select an answer♥ H₁ PS Select an answer c. The test statistic ? (please show your answer to 3 decimalA researcher belleves that 52% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher, this figure is actually 50%, which is the same as in the general population. To attempt to find evidence for the claim, the researcher is going to take a random sample of 400 people who grew up as the only child. Let p be the proportion of people in the sample with an IQ score above 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(p 20.52), which is the probability that there will be 52% or more people with IQ Scores over 100 in the sample. Round your answer to four decimal places. 2022 acer
- The average fruit fly will lay 377 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 367, 374, 364, 388, 407, 369, 375, 362, 403, 383, 381, 391, 371 What can be concluded at the the αα = 0.10 level of significance level of significance? The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)Which of the following statements is not true? There is only one median for each variable. One definition of the median states that, for an odd number of observations, the median is the middle score when scores are placed in order of magnitude. Another term for the median is 50th percentile. The median is generally more sensitive to (i.e., affected by) the presence of a few extreme observations than is the mean.Each of the boxplots shown summarizes 24 student scores on a recent test in two different classes. The boxplots are drawn using a common numerical scale. Which of the following must be true? 1. The lower 25% of Class B are much more spread out than the lower 25% of Class A 2. More people scored below the lower quartile for Class A than Class B 3. The distribution for Class B is skewed left and has a noticeable outlier as well, while the distribution for Class A is somewhat skewed right 4.Class A had more people between the median and the lower quartile than Class B. 3.The distribution for Class A is somewhat symmetric, while the distribution for Class B is skewed right with a noticeable outlier as well
- The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best actor Best supporting actor u= 41.0 u=55.0 Q= 7.7 Q= 12 In a particular year, the Best Actor was 44 years old and the best supporting actor was 42 years old. Determine the z-scores for each. best actor z=____________ best supporting actor z=___________ Round to two decimal places as needed.To determine whether caffeine consumption affects the ability to solve math problems, a researcher had one group solve math problems after taking a cup of caffeinated drink and another group solve math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.In anticipation of an upcoming election, officials in Rising Falls County are looking at the distance from each voter's home to that voter's nearest polling station. Assume that the population of all such distances for voters in Rising Falls County is approximately normally distributed. An article for the newspaper Politically Sound claimed that the mean of this population is 5.15 km. You want to test this claim, so you select a random sample of 23 Rising Falls County voters, and for each you record the distance the voter lives from their nearest polling station. Follow the steps below to construct a 90% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. Then state whether the confidence interval you construct contradicts the reporter's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: П Point estimate: 0…
- Every day in the summer months a supermarket receives a shipment of peaches. The supermarket’s quality inspector arranges to have one box randomly selected from each shipment for which the number of “spoiled” peaches (out of 48 peaches in the box), which cannot be put out on the supermarket shelves, is recorded. DS 6.1.5 shows the data set obtained after 55 days. Define the population from which the sample is taken. Do you think that it is a representative sample?A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.5; 2.8; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4. 1.Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) 2. Construct a 95% confidence interval for the population mean length of time. (i) State the confidence interval. (Round your answers to two decimal places.) ( , ) (iii) Calculate the error bound. (Round your answer to two decimal places.)To determine whether caffeine consumption affects the ability to solve math problems, a researcher had one group solve math problems after taking a cup of caffeinated drink and another group solves math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.