In a test of Ho: μ = 50 against H₂: μ> 50, the sample data yielded the test statistic z = 2.11. Find and interpret the p-value for the test. Click the icon to view a table of standard normal values The p-value is p = (Round to three decimal places as needed.) Interpret the results. What does this p-value mean? OA. The probability of observing a z-value <2.11 is equal to the p-value, if µ = 50. OB. The probability of observing a z-value > 2.11 is equal to the p-value, if μ> 50. OC. The probability of observing a z-value> 2.11 is equal to the p-value, if μ = 50. OD. The probability of observing a z-value <2.11 is equal to the p-value, if μ>50.

The probability of area of standard normal curve between z = 0.63 and the mean is? %3D Select one: O a. 73.5% O b. 23.5% O c. 98.7% O d. 42.3% O e. 35.5%

This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used.  0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean.  0.5 point for finding the correct probability.   All work must be shown in order to receive any credit.  Please upload your completed assignment here.    The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.

In a particular statistics exam, the 35th percentile of final exam score is 42, and the 70th  percentile of final exam score is 76. A histogram of the scores approximately follows the normal curve. What is the approximate standard deviation of the final exam scores? Hints: What is the z value in the normal table that gives you closest to 35% of the area between -z and z? Now what does that tell you about the number of SDs in between 42 inches and 76 inches? You might find it helpful to draw a picture of the normal curve with original units and standard units. Group of answer choices a. 7.5 b. 13.1 c. 20.7 d. 37.8

I need help with this one please thank you

Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 95 86 80 103 99 110 82 87 The sample mean is x = 92.8. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that o = 12.5. The mean glucose level for horses should be u = 85 mg/100 ml.t Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 85; H,: µ + 85; two-tailed O Ho: H = 85; H,: µ > 85; right-tailed O Ho: H = 85; H,: u 85; H,: u = 85; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal…

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QUESTION 12 In the video game Animal Crossing: New Horizons, you can catch and sell both fish and sea creatures. Alison learns that sea creatures sell for a mean of u = 3,345 bells with a standard deviation of o = 3,684 bells ("bells" is the currency in the game). Alison suspects that fish will sell for more money than sea creatures will, so she decides to conduct a hypothesis test at the a = 0.01 level with %3D %3D Họ: µ= 3,345 bells H1: p > 3,345 bells She finds a sample of 64 fish and computes their mean price to be 3,527 bells. a. Determine the standard error to the nearest thousandth. Ox = Work: b. Determine the z-score to the nearest hundredth. Z = Work: c. Identify the image below that best represents the standard normal curve you drew for this problem. A В C

On average is the younger sibling's IQ higher than the older sibling's IQ? Ten sibling pairs were given IQ tests. The data are shown below. IQ Scores Younger Sibling 91 88 88 91 114 100 110 100 106 96 Older Sibling 80 79 90 88 114 85 111 98 90 95 Assume a Normal distribution.  What can be concluded at the the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean t-test for the difference between two dependent population means z-test for the difference between two population proportions z-test for a population proportion t-test for the difference between two independent population means  The null and alternative hypotheses would be:        H0:H0:  Select an answer p1 μd μ1  Select an answer > ≠ = <  Select an answer 0 μ2 p2  (please enter a decimal)     H1:H1:  Select an answer μd μ1 p1  Select an answer > ≠ < =  Select an answer μ2 p2 0  (Please enter a decimal) The test statistic ? t z  =  (please show your…