3) The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 55%. a) Calculate the standard error of the sampling distribution assuming a sample size of 500 voters. b) Draw the sampling distribution of the proportion. What is the mean of the sampling distribution? c) What is the probability that in a random sample of 500 voters less than 49% say they will vote for the incumbent? Show graphically.

A. Find the proportion runners with the time less than 160 minutes? Show work B. Find the proportion of times 201 minutes or 209 minutes ? Show work C. Describe the shape of the distribution? Identify the class that contains the 50th percentile. is this a typical time ?identify the runners in the 50th percentile. Show work

The average final exam score for the statistics course is 74%. 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 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance?  For this study, we should use Select an answer t-test for a population mean z-test for a population proportion        H0:H0:  ? μ p  Select an answer = ≠ > <         H1:H1:  ? p μ  Select an answer = > < ≠     The test statistic ? t z  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.)

4. Find each value requested for the distribution of scores in the following table. а. п b. ΣΧ C. Σχ f 1 4 2 3 3 2 5 1 3 UNG

can you help for answer this ?

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 different. 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. 90, 78, 82, 59, 67, 71, 64, 78, 67, 57, 79, 86, 66, 56 What can be concluded at the the αα = 0.05 level of significance level of significance?  For this study, we should use    (t-test for a population mean,  z-test for a population proportion) The null and alternative hypotheses would be:       H0: (symbol) (symbol) ____              H1: (symbol) (symbol) ____               The test statistic (?,t,z) = ____  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is (symbol)  αα Based on this, we should  (accept, reject, fail to reject) the null hypothesis.…

As the sample size​ increases, the mean of the sampling distribution ▼   stays the same. gets larger. gets smaller.

Using the data attached, compute x-bar: 1. Define the random variable x-bar in words 2. state the estimated distribution to use. Use both words and symbols.

The average final exam score for the statistics course is 74%. 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 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 71, 72, 53, 61, 75, 55, 75, 74, 58, 50, 71, 84, 76, 53 What can be concluded at the the αα = 0.10 level of significance level of significance? The null and alternative hypotheses would be:       H0: μ = ______________ H1: μ ≠ ______________ The test statistic t= ________________(please show your answer to 3 decimal places.) The p-value = _______________________    (Please show your answer to 4 decimal places.)