EX#2: A box of 850 marbles contains 50 blue marbles. Two marbles are selected at random without replacement. Let X be the number of blue marbles in the sample. Find the cumulative distribution function of X.
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- suppose that 25% of HU students have two cellphones. If we take a random sample of 500 students, then the sampling distribution of the sample proportion isThe average final exam score for the statistics course is 79%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal 79, 78, 80, 57, 62, 83, 78, 80, 68, 86, 85, 86, 84, 51, 63, 52 What can be concluded at the the a 0.10 level of significance level of significance? a. For this study, b. The null and alternative hypotheses would be: we should use Select an answer Но: ? ? Ні: ? ? c. The test statistic? (please show your answer to 3 decimal places.) d. The p-value e. The p-value is ? f. Based on this, we should Select an answer (Please show your answer to 4 decimal places.) the null hypothesis. g. Thus, the final conclusion is that ... given colored pens at the so there is statistically insignificant OThe data suggest that the population beginning…A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the percentages are normally distributed. What type of test is this hypothesis test? Select the correct answer below: This is a left-tailed test because the alternative hypothesis is H. : Ha 0. This is a two-tailed test because the alternative hypothesis is H, : µa # 0. This is a right-tailed test because the alternative hypothesis is H, : Ha > 0. This is a right-tailed test because the alternative hypothesis is H, : µa < 0.
- The average final exam score for the statistics course is 79%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 11 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the gopulation is normal. 91, 74, 66, 52, 61, 90, 59, 75, 70, 82, 84 What can be concluded at the the a 0.10 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: H1: c. The test statistic t = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is s a f. Based on this, we should fail to reject g. Thus, the final conclusion is that ythe null hypothesis. The data suggest the populaton mean is significantly different from 79 at a = 0.10, so there is statistically significant…The average final exam score for the statistics course is 77%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 77, 91, 64, 96, 96, 75, 74, 78, 84, 98, 78, 80, 74 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: ? Select an answer c. The test statistic ? ✓ = d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should [Select an answer the null hypothesis. (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)In a population where 63% of voters prefer Candidate A, how many voters must be sampled for the distribution of voters that prefer candidate A to be normally distributed?
- The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. ASsume that the distribution of the population is normal. 92, 81, 89, 76, 64, 63, 83, 83, 59, 56, 63, 56, 84, 62 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: H1: μ c. The test statistic t (please %3D show your answer to 3 decimal places.) d. The p-value (Please show your answer %D to 4 decimal places.)What is the sampling distribution of x?The average final exam score for the statistics course is 75%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 100, 63, 94, 97, 78, 81, 78, 82, 90, 82, 90, 81 What can be concluded at the the αα = 0.01 level of significance level of significance? The null and alternative hypotheses would be: H0: the mean is <,>,=, or not equal to also provide the number__?__ H 1: the mean is <,>,=, or not equal to also provide the number __?__ The test statistic t = __?__ (please show your answer to 3 decimal places.) 2. The p-value = __?__ (Please show your answer to 4 decimal places.)
- The average final exam score for the statistics course is 75%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 11 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 63, 72, 88, 50, 76, 88, 85, 55, 52, 61, 71 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: H.: Select an answer v H1: ?vSelect an answer v c. The test statistic ?v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly different from 75 at a =…A nationwide study indicated that 80% of college students with the cellphone send and received text messages with cellphones . a simple random sample of and equals 200 college students with cell phones is obtain. describe the sampling distribution of p hat this sample proportion of college students was so phone to send or receive text messages of their cellphonesThe average final exam score for the statistics course is 75%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 70, 86, 92, 71, 82, 89, 74, 90, 64, 89, 80, 71 What can be concluded at the the a 0.05 level of significance level of signtficance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?vSelect an answerv H1: ?vSelect an answerv C. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly different from 75 at…
