In a question on correlation, the value of r is 0.917 and its probable error is 0.034. What would be the value of N ?
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- Suppose that for a test of proportion we have :p=0.5 and . The test statistic z=1.53 and the p-value is reported as P-value = 0.063. Find the error in the reasoning. This is a right-tailed test so the P-value should be 0.9370. This is a two-tailed test so the P-value should be 0.126. The P-value should have been calculated using the studentâ s t-distribution. There is no error in the reasoning. None of these.A researcher found that the two groups (n=25 in each group) they tested were significantly different from each other with a t-value of 2.91, which has a corresponding p-value of p=.06. Report the findings in APA number format.A standardized math test of fifth grade students produces a mean ?μ = 100 with a ?σ = 18. A sample of n = 36 students participated in "boost" training for their math skills. The sample M = 104 with S = 24. Did this "boost" training significantly improve students' math performance? Use ?α = .01.
- A 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 acerHistorical data indicates that the mean weight of female yoga instructors working at a local studio is 150 Ibs. New research seems to indicate that the mean is now at most 150 lbs. Express the null and alternative hypotheses in symbolic form for this claim. Ho: 7There has been a long-held belief that births occur more frequently in the "small hours of the morning" than at any other time of day. Sutton [1945] collected the time of birth at the King George V Memorial Hospital, Sydney, for 2654 consecutive births. (Note: The total number of observations listed is 2650, not 2654 as stated by Sutton.) The frequency of births by hour in a 24-hour day is listed in Table 3.16. (a) Sutton states that the data "confirmed the belief ... that more births occur in the small hours of the morning than at any other time in the 24 hours." Develop a graphical display that illustrates this point. (b) Is there evidence of Sutton's statement: "An interesting point emerging was the relatively small number of births during the meal hours of the staff; this sug- gested either hastening or holding back of the second stage during meal hours"? Table 3.16 Frequency of Birth by Hour of Birth Time Births Time Births Time 6-7 pm 7 pm 8 pm 9 pm 10 pm 11 pm 12 am 1 am 92 102…
- Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallestSean thinks that he has a special relationship with the number 6. In particular, Sean thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pis the true proportion of the time Sean will roll a 6. (a) State the null and alternative hypotheses for testing Sean's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "-", "not =" and express any values as a fraction e.g. p = 1/3) Ho= Ha (b) Now suppose Sean makes n = 30 rolls, and a 6 comes up 6 times out of the 30 rolls. Determine the P-value of the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when finding the P-value. P-value = ⠀⠀ (c) Answer the question: Does this sample provide evidence at the 5 percent level that Sean rolls a 6 more often than you'd expect? (Type: Yes or No) 4A sample of n = 7 scores has a mean ofM 5. After one new score is added to the sample, the new mean is found to be M 6. What is the value of the new score? (Hint: Compare the values for EX before and after the score was added.)
- Matt thinks that he has a special relationship with the number 2. In particular, Matt thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Matt will roll a 2. (a) State the null and alternative hypotheses for testing Matt's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "=", "not =" and express any values as a fraction e.g. p = 1/3) Ho p= 1/6 = Ha= p > 1/6 (b) Now suppose Matt makes n = 34 rolls, and a 2 comes up 7 times out of the 34 rolls. Determine the P-value of the test: P-value = | (c) Answer the question: Does this sample provide evidence at the 5 percent level that Matt rolls a 2 more often than you'd expect? (Type: Yes or No) noA sample of n = 10 scores has a mean of 7. If a new score of X = 18 is added to the sample, what will be the new value for the sample mean? 8.0 8.8 9.78 6.36Stoaches are fictional creatures, sometimes mistaken for mome raths. Suppose a two-tailed ? t -test is conducted to test for a difference between the population means of adult female stoach weights and adult male stoach weights. The female sample has 6 weights, and the male sample has 12 weights. The ? t -statistic for the test is -2.69933. What is the ? p -value? (Give your answer to 4 decimal places.)