A sample of n=D25 scores has M=20 and s2 =9. What is the sample standard deviation?
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- The standard deviation of quiz scores in Math 22 of EE courses is 8.6. A professor believes this value to be less. He samples 20 quiz scores and finds that the standard deviation is 6.9. Does this sample provide enough evidence to suggest that the true standard deviation is less than 8.6?Assume that adults have IQ scores that are normally distributed with a mean of 103.8 and a standard deviation 15.7. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. The first quartile isScores on a recent NYS Standardized Exam were normally distributed with a mean of 77.6 and a standard deviation of 4.3. Find the NYS Standardized Exam score that separates the bottom 2.5% from the rest. Round this score to the nearest tenth
- The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inchesSomeone claims that the systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 125. The population standard deviation is 18. A random sample of 45 adults having systolic blood pressure of 160. Find the test statistic. Z = (Round to one decimal)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.
- 1A researcher collected the heights of male seniors at a high school. The data collected are normally distributed with a mean of 70.21 inches and a standard deviation of 1.35. What is the z-score of a high school senior who is 68 inches tall? Enter your answer rounded to the nearest hundredth, like this: 4.23A basketball player makes 56 free throws in a season. The average number of free throws made in the league is 52, and the standard deviation is 4. A softball player makes 42 hits in a season. The average number of hits mase in the league is 38, and the standard deviation is 6. Calculate Z-scores for the two and compare them. Which one is better at their sport?There is a new medication for diabetes, fifteen participants take the medication for fifteen days. The average blood glucose before taking the medication was 155 (population mean). The average blood glucose after taking the medication is 110. The standard deviation for the average glucose after taking the medication is 4.6. You want to evaluate if there is statistical evidence that there is a reduction in the mean glucose after taking the medication for 15 days. You must conduct a t-test. What is the t-statistic?
- A statistician wants to determine if there is a significant difference in the average height of male and female college students. He collects a random sample of 100 males and 100 females and calculates their heights (in cm). The sample mean height for males is 175 cm and the sample mean height for females is 165 cm. The sample standard deviation for males is 6 cm and the sample standard deviation for females is 5 cm. Conduct an independent samples t-test to determine if there is a significant difference in the average height between males and females at a significance level of 0.05.Suppose a set of data has a sample mean of 112 and a sample standard deviation of 8.3. What is the z-score for the value 127.8? Round the z-score to two decimal places. Your Answer:A researcher collects data that represents the average number of hours of sleep in the last two nights by 8 depressed patients and 9 non-depressed patients. The researcher is interested in whether the two groups reliably differ in the amount of sleep they get. Use Jamovi to calculate t-obt and the p value.
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