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# -You are doing a project on how much time (in hours) it takes

Question
-You are doing a project on how much time (in hours) it takes people to adjust after traveling to a new time zone. You know that the population standard deviation is 30 but you’re not sure what the population mean time is. You take a sample of 100 individuals and find a sample mean of 19 hours. What is the 90% confidence interval for the true population mean? Round to two decimal places.A.None of the answers given is correctB.17.11-20.89 hoursC.14.07-23.94 hoursD.16.99-22.01 hours2.Your colleague is looking into the typical amount of stress that people are feeling over the COVID-19 pandemic. In a sample of 81 people, he finds a mean stress level of 69, on a scale of 0 to 100. He knows that the population standard deviation for stress scores is 12. Calculate the margin of error for a 99% confidence interval of the true population mean stress score.A.1.33B.12.92C.3.43D.2.66Please help me with both and thank you

## 8. A hypothesis test is executed with an alpha = 10% and Ho is rejected.

Question 8. A hypothesis test is executed with an alpha = 10% and Ho is rejected. Using the probability model (or frequentist) view of probability discussed in class, what is the probability that the statistical conclusion is wrong? If we executed the same hypothesis test (with an alpha of 10%) on different random samples of data 10,000 times, approximately how many times would it make the mistake of rejecting Ho when Ho is actually true in the population? Your answer should be an integer

## How to solve question 8c? If we assume the population standard deviation,

Question How to solve question 8c? If we assume the population standard deviation, for the length of person’s full name to be 10.7. Determine the minimum sample size, n, needed to construct a 82% confidence interval for the population mean length to be have width of 4 letters.

## The mean weekly sales per employee at a nationwide store is normally distributed Question The mean weekly sales per employee at a nationwide store is normally distributed with a mean of \$7,300 per week and a standard deviation of \$700. What is theprobability that a randomly selected employee will have sales less than \$6,500?Select one

## ou are testing the claim that the mean GPA of night students is less than

Question ou are testing the claim that the mean GPA of night students is less than the mean GPA of day students. You sample 25 night students, and the sample mean GPA is 2.74 with a standard deviation of 0.54You sample 30 day students, and the sample mean GPA is 2.54 with a standard deviation of 0.76

## (need to use Minitab express/ I want to know to reach answers step by step)

Question (need to use Minitab express/ I want to know to reach answers step by step) Activity 1: In this activity we use a random sample of n=150 stat 200 students from a previous semester to answer two questions. What percentage of stat students are female? 1. What is the parameter of interest?2. What is the sample estimate ( ) for the proportion of stat 200 students who are female? 3. Is it ok to use the normal distribution? Why or why not? Check on textbook page 407 if you need a reminder. 4. The standard error of this sample proportion is 0.041. Calculate the margin of error for this estimate, using a 90% confidence level? (Remember, ME = z*×SE). ME= ________5. Using your above answers, construct a 90% confidence level by hand.Sample statistic ±(multiplier)×SE6. Remember that the confidence interval formula is z*×SE. If we were to calculate a 95% confidence interval (instead of 90%) using this data…a. How would each of these quantities change: (decrease ↓, no change, increase↑)? z* SEb. How would the center and width of the C.I change: (decrease, no change, increase)?Are women more likely to sit in the front of the class than men? 7. Letting p1=the proportion of women that sit in the front and p2=the proportion of students men that sit in the front, write the null and alternative hypotheses below:H0:Ha:8. Use Minitab to perform the hypothesis test you wrote above. Note: when obtaining the test statistic and p-value, select this option in Minitab express.a. What is the sample statistic? Use correct notation and match order found in research question.b. What is the value of the standardized test statistic? c. What is the p-value, when assuming the normality condition is met? Draw a sketch of the p-value. Label.d. What is the conclusion, both generic and in context?Activity 2: For each situation, decide if it is (a) comparing two proportions from the same group or (b) comparing proportions from two groups (i.e. two independent/separate samples).Note: this is only important so that you can recognize that we are only considering analyses found on two independent/separate samples in this course). 1. Consider 14oz bags of Original Starburst and FaveRed Starburst candies. Compare the proportion of strawberry (pink) starburst in an original bag to the proportion of strawberry in a FaveRed bag.2. Consider results from a recent BBC opinion poll about the United Kingdom leaving the European Union (Brexit). Compare the proportion of British adults that supported Brexit and the proportion of British adults that did not.3. While Trick-or-Treating during Halloween, compare the proportion of trick-or-treaters that are ten years old or under (≤ 10) to the proportion over ten (>10).Activity 3: Let’s analyze the data we gathered in Activity 0 using Minitab Express. Open the Google sheet linked in the Canvas submodule for this section. Copy and paste the columns into Minitab Express. Pretend this data is representative of all University Park students Do more than 60% of Stat200 students attend football games?1. Use the data you gathered to answer this question. Think – what hypothesis are we testing? Then find the appropriate p-value using Minitab and make a conclusion in context. Assume the normality condition is met. 2. What is a 95% confidence interval for the percentage of Stat200 students that attended a PSU football game in the last year? Is the proportion of students that attended a football game different for students that attended a GSG session when compared to students that didn’t? 3. Use the data you gathered to answer this question. Think – what hypothesis are we testing? Then find the appropriate p-value using Minitab and make a conclusion in context.Activity 4: Using the empirical rule to estimate p-valuesUse the above figures of the standard normal distribution to reason out the p-values for each of the below hypothesis tests and standardized test statistics. You are strongly encouraged to draw the p-values on the provided standard normal 1. Assume we are testing: H0: p = 0.30 versus Ha: p > 0.30a. z = 2.0 i)p-value= 0.135 ii) p-value = 0.025 iii) p-value = 0.160b. z = 1.1 i) p-value=0.136 ii) p-value=0.184 iii) p-value=0.018c. z = -1.7 i) p-value=0.955 ii) p-value=0.045 iii) p-value=0.758Use the above figures of the standard normal distribution to reason out the p-values for each of the below hypothesis tests and standardized test statistics. You are strongly encouraged to draw the p-values on the provided standard normal distributions. 2. Assume we are testing: H0: p1-p2 = 0 versus Ha: p1-p2 ≠ 0a. z = -1.6 i) p-value=0.110 ii) p-value=0.945 iii) p-value=0.055b. z = 1.1 i) p-value=0.136 ii) p-value=0.368 iii) p-value=0.271c. z = 2.5 i) p-value=0.006 ii) p-value=0.134 iii) p-value=0.012

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