A Z-test for single population mean is conducted with Ha: µ < 10, at significance level of 0.05, The most significant result is suggested by the following test statistic O-4.5 O 2.2 O 4.7 O 3.7 O -1.65 O 1.96
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A: z-test should be performed. Null and alternative hypothesis is: H0:μ=30Hα:μ<30
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- The mean time spent on studies of all students at a university last year was 40 hours perweek. This year, a random sample of 35 students at the university was drawn. Thefollowing summary statistics were computed:Sample mean = 42.1 hours; standard deviation = 13.85 hoursCompute for the z-score test for this situation and draw a conclusion.Is narcissism a more common personality trait today than it was a few decades ago? It is known that the mean population score on the Narcissistic Personality Inventory (NPI) for students attending University of South Alabama around 20 years ago was μ= 15 (Twenge, 2010). Interested in the narcissism levels of students in the year 2020, a researcher administers the NPI to a random sample of 25 University of Alabama sophomores this Spring term. The mean NPI score from the researcher’s sample of sophomores is M = 16.5, with s = 3.4. 1. Find the obtained (i.e., computed) test statistic for a sample (n=25) with a mean of 16.5 2. Make a statistical decision about the null. Will you reject or fail to reject the null based on your sample data? 3. Justify your decision about the null.A random sample of 100 women each from the rural and urban areas showed the following mean and standard deviation of age (in years) at their first marriages. Does the data provide an evidence to indicate that rural women marry earlier than their counterparts in the urban areas? Use a 5% level of significance.
- A newspaper claims that the mean time spent on physical activities by middle school children in UAE is less than 30 minutes per day. To test this claim, a random sample of 20 children was selected and yielded a test statistic of t=-2.15. What is the corresponding p-value of the test? 0.978 0.045 0.022 0.016A random survey was done at a small college, and the students were asked how many hours a week they spent studying outside of class time. They were also asked what class they were in (1 = Freshman, 2 = Sophomore, 3= Junior, and 4 = Senior). Assuming that the conditions for ANOVA are met, test the hypothesis that the mean number of hours of school work varies by class, reporting the p-value and conclusion. Use the 0.05 level of significance. State your conclusion in the context of the data. A Click the icon to view the ANOVA results from the survey. ANOVA output ..... Write the null and alternative hypotheses. Ho: V or there between class and the number of hours spent studying. One-way ANOVA: SchoolWork versus class На V or there V between class and the number of hours spent studying. Source DF SS MS class Error 3 944.8 314.9 5.9 0.001 The test statistic is |. (Round to one decimal place as needed.) 107 5708.7 6653.5 53.4 Total 110 The p-value is (Round to three decimal places as…A dairy farm uses the somatic cell count (SCC) report on the milk it provides to a processor as one way to monitor the health of its herd. The mean SCC from five samples of raw milk was 250,000 cells per milliliter with standard deviation 37,50o cell/ml. Test whether these data provide sufficient evidence, at the 10% level of significance, to conclude that the mean SCC of all milk produced at the dairy exceeds that in the previous report, 210,250 cell/ml. Assume a normal distribution of SC.
- A random sample of 5 students IQ scores have a mean score of 107.04 and a standard deviation of 6.08.Is there sufficient evidence to support the claim that this sample of students are greater than the average IQ of 107? Use a 0.005 significance level. The test statistic is:Suppose that IQ scores have a bell-shaped distribution with a mean of 103 and a standard deviation of 14. Using the empirical rule, what percentage of IQ scores are at least 145?A major car manufacturer wants to test a new engine to determine whether it meets air pollution standards. The mean emission levels of all engines must be not more than 60 parts per million (ppm) of carbon. 10 engines are manufactured for test and the sample mean and standard deviation are 61.1 ppm and 3.0 ppm respectively. Do these data provide sufficient evidence to conclude that this engine does not meet the pollution standards? Using 5% level of significance.
- The average annual miles driven per vehicle in the United States is 11.1 thousand miles, with o = 600 miles. Suppose that a random sample of 31 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.8 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average? Use a 0.05 level of significance. What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. о Но: р3D 11.1; Hі: р> 11.1 O Ho: H = 11.1; H1: µ > 11.1 O Ho: µ = 11.1; H1: µ # 11.1 о Hо: р 3 11.1; Hi: р# 11.1 O Ho: p = 11.1; H1: p 0.500 O 0.250 < P-value < 0.500 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010In a right-tailed test comparing two proportions, the test statistic was zcalc = +1.5. The p-value is:A poll of 100 randomly selected car owners revealed that the mean length of time that they plan to keep their cars is 6.75 years and standard deviation is 3.60 years. Test the claim that the mean length of time for all car owners to keep their cars is less than 7.50 years. Use a 0.05 significance level.