Write True or False beside each statement. If the statement is False, correct the statement.(a). A hypothesis test was conducted and the p-value was less than the significance level. It is known thatthe alternative hypothesis is true. This suggests that a type Il error occurred.(b). A random sample of size n = 10 is drawn from a population with mean u andstandard deviation o. Then the sample average X has an approximately normaldistribution with mean u and standard deviation o/Vn by the central limit theorem.(c). For any two events A and B, P(AN B) = P(A)P(B|A).(d). The relative frequency for each class in a frequency distribution is a sample proportion.(e). Inferential statistics are used to draw a conclusion about a population.(f). In an equally likely outcome experiment, the probability of any event A is the number of outcomes in A.(g). In a two-sample paired t test, the before and after sample sizes must be the same.

We hav given the following statements based on true or false. Note: According to Bartleby expert…

Answered: Write True or False beside each…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A UW Madison professor is interested in learning about the variance of grades for university students. The professor gathers the sample variance for a random sample of 50 students. From past experience, the professor knows that the population of students is normally distributed. The sample variance that is collected is equal to 80. The professor would like to infer at the 1% significance level that the population variance is less than 100? - State the appropriate null and alternative hypothesis. - What is the correct test statistic? - What is the conclusion of the test? - What would be the effect if the professor increased the sample size?
Scores on a certain test are normally distributed with a variance of 90. A researcher wishes to estimate the mean score achieved by all adults on the test. Find the sample size needed to assure a 95 percent confidence interval with a width of 4.
11. Hypothesis Test of Equal Variances. Test the given claim. Use a significance level of a = 0.05 and assume that all populations are normally distributed. Claim: The treatment population and the placebo population have different variances. n = 16, x = 21.33, s = 0.80 n = 41, x = 25.34, s = 0.40 Treatment group : Placebo group :
Red Blood Cell Count: A simple random sample of 300 adult males is taken to measure the red blood cell count (in cells per microliter). Use a significance level of 0.01 to test the claim that the sample has a mean less than the population mean (μ = 5.4 million cells per microliter). Does the sample have a normal distribution? Explain why. Does the result suggest that the male sample has a red blood cell count below 5.4 million cells per microliter? Determine the descriptive statistics of the sample. State the statistical hypotheses: H0 and HA. Determine the α Is this test one or two tailed? What statistical conclusion did you reach regarding the question being evaluated? RED 4.80 4.73 4.47 4.32 4.95 3.95 4.68 4.60 4.09 5.47 4.44 4.15 5.07 4.38 5.22 4.22 4.32 4.30 6.34 5.60 4.93 5.18 3.54 4.61 4.22 4.99 5.23 4.01 4.07 5.06 4.30 4.28 4.76 4.14 4.61 4.67 4.36 4.28 4.59 4.77 3.86 5.38 5.03 4.60…
Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic and P-value.Test the claim that the mean age of the prison population in one city is less than 26 years. Sample data are summarized as n = 25, x = 24.4 years, and s = 9.2 years. Use a significance level of α = 0.05. Round answersto 3 decimal places.test statistic ____________ P-value _____________
A researcher wants to select a sample from a population with a mean (µ)= 60 and administer a treatment to individuals in the sample. He thinks the treatment will help improve scores. a. State the hypotheses for a one-tailed test. b. For a one-tailed test, would the critical region be located in the positive or right-hand tail of the distribution, or in the negative or left-hand tail of the distribution?
Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Diet Regular H2 27 27 0.79037 lb 0.80399 lb 0.00449 lb 0.00756 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? O A. Ho: H1 = H2 OB. Ho: H1#H2 Hq: Hy
A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
identify the test statistic. Identify the P-value.
If the test requires that the results be statistically significant at a level of α = 0.05, fill in the blanks and complete the sentences that explain the test decision and conclusion. The decision is to reject the null hypothesis. There is enough evidence at a significance level of a = 0.05 that the mean weight for U.S. women of age 40-49 who smoke daily is less than 169.976 pounds.
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
Gestation period is the length of pregnancy, or to be more precise, the interval between fertilization and birth. In Syrian hamsters, the average gestation period is 16 days. Suppose you have a sample of 31 Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups, and who have an average gestation length of 17.1 days and a sample variance of 26.0 days. You want to test the hypothesis that Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters. Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is sMM= a. 31, b. 0.5232, c. 0.7328, d. 0.9158. The t statistic is- a. 1.50, b. 2.10, c. 2.63, d. 1.20 Now suppose you have a larger sample size n = 95. Calculate the estimated standard error and the t statistic for this sample with the same sample average and the same…

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