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- Give the null and the alternative hypotheses for the following situations. You only need to set up the hypotheses in this part. Make sure to use the appropriate parameter symbol in the statement of the hypotheses: p or µ. The null and alternative hypothesis has been given for the first problem. 1. A coffee manufacturer sells jars of coffee supposedly filled with 10 ounces of coffee. The Consumer Fraud Bureau of a state has received numerous complaints that some of the jars contain less than the specified 10 ounces. The Bureau decides to investigate these complaints by sampling 100 jars. Does the data indicate that the coffee manufacturer can be accused of "short-changing" the customer? Use a 5% level of significance. Ho: Ha: 2. . In an ABC/Washington Post survey 855 randomly selected Americans listed gun control as an important issue in elections. Can ABC and the Washington Post claim that this survey provides sufficient evidence to say that a majority of Americans consider…14. For the each of the null and alternative hypothesis below, determine if it represents a valid null and alternative hypothesis. If the null or alternative hypothesis is not valid, explain why. Ho: μ-20 Ha: u2 20 a. b. Ho: µ + 18 На: и 3 = 18 Ho: µ = 0 Ha: µ 15 Ho: μ= 20 Ha: μ>19 f. Ho: p = 5 Ha: p> 5 е. Ho: p 0.20 h. Ho: p= ½ Ha: p# ½ g. %3DPlease give solution in correct and step by step detailed format thanku Don't give solution in image format
- The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 Store 1 654 303 989 591 872 934 828 947 Store 2 498 114 674 605 912 1008 686 848 Difference 156 189 315 - 14 - 40 - 74 142 99 (Store 1 - Store 2) Send data to calculator Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding u, (which is u with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of differences…These are previous year papers that i want to solve before the start of next semester. Can you please help me solve these? A new drug has been developed to treat cancer. It is of interest to know whether the low dose (X1 = 0) or high dose (X1 = 1) will be better for cancer patients. There are 60% of patients randomly assigned to high dose.For this question, if asked to do a hypothesis test, please include the following:1. The formula of the test statistic,2. the reference distribution with degrees of freedom and the conditions for the test statisticto follow this reference distribution,3. plug in the numbers from the R output into the test statistic. You do not need to simplifythe expression,4. state when will you reject or fail to reject the hypothesis. a)Write out the linear regression model of Y (a continuous measure of tumor size) on dose X1 using low dose as reference level.b) The r output of the regression model from part 1 is given below. Fill in the blanks. Call:lm(formula = Y…QUESTION 5 Assume you are conducting a hypothesis test to determine if pesticides cause cancer in rural areas. The hypotheses are: The null hypothesis is no cancer. The alternate hypothesis is cancer. Select if the result for Box C is correct, a Type I error, a Type |l error or if there is insufficient information to make the decision. *****Read the labels very carefully. Н: по сапсer На: сапсer Reality: Reality: Null is true Alternate is true (i.e. no cancer) (i.e. cancer) Decision: Accept the null hypothesis (i.e. test is negative for cancer) A B
- Medical researchers are interested in determining the relative effectiveness of two drug treatments on patients with a chronic mental illness. Treatment 1 has been around for many years, while treatment 2 has recently been developed based on the latest research. The researchers chose two independent test groups. The first group had 10 patients, all of whom received treatment 1 and had a mean time until remission of 188 days, with a standard deviation of 8 days. The second group had 14 patients, all of whom received treatment 2 and had a mean time until remission of 185 days, with a standard deviation of 5 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Can we conclude, at the 0.05 level of significance, that u,, the mean number of days until remission after treatment 1, is greater than u,, the mean number of days until remission after treatment 2? Perform a one-tailed test. Then complete the parts…Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 14.2 minutes. The standard deviation of completion times was 1.6 minutes. An analyst at the company suspects that, under new management, the mean completion time, µ, is now less than 14.2 minutes. To test this claim, a random sample of 12 completion times under new management was taken by the analyst. The sample had a mean of 13 minutes. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the population mean completion time under new management is less than 14.2 minutes? Assume that the population standard deviation of completion times has not changed under new management. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering dlass must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 10 of this year's entering students and finds that their mean IQ score is 117, with a standard deviation of 12. The college records indicate that the mean IQ score for entering students from previous years is 113. Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, p, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b)…
- I need help understanding the null hypothesis and when to “reject” or “fail to reject” it. I got 5.77 in 3df and a critical value of 7.82.10. The null and alternative hypotheses For each pair of hypotheses that follows, decide whether H₀ and H₁ are set up correctly as the null and alternative hypotheses for a hypothesis test. If so, select “Valid” from the drop down menu. If not, select “Invalid”. 1 H₀: M = 145 2 H₀: μ = 19 H₁: M ≠ 145 H₁: μ ≠ 19 3 H₀: μ = 324 4 H₀: µ = 59 H₁: μ ≠ 324 H₁: µ ≠ 66 You evaluate the by assuming that it is true and testing the reasonableness of this assumption by calculating the probability of getting the results if chance alone is operating.For each of the following scenarios, identify: the population of interest, the outcome variable being measured on each observational unit, whether the outcome variable being measured is categorical or quantitative/Continuous, the parameter of interest, define both in words and using the appropriate statistical symbol (π, π1 -π2, µ, µ1 - µ2, or µd), and the null and alternative hypotheses, written in correct statistical notation (not in words) Name the hypothesis test you would use. For example, some tests we have learned are: one sample t-test of the population mean one sample z-test of the population proportion independent two-sample pooled t-test for the difference between population means independent two-sample unpooled z-test for the difference between population means Paired t-test for 2 dependent samples independent two-sample z-test for the difference between population proportions a) Suppose from large studies we know that the mean cholesterol in children aged 2-14 is…