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In this data set, a z-score will be positive if the participant's score on the happiness scale is greater than ______ . Enter your answer two decimal places (i.e., 10.01, not 10, not 10.0, not 10.011).
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- A researcher studying the sleep habits of teens will select a random sample of n teens from the population to survey. The researcher will construct a t -interval to estimate the mean number of hours of sleep that teens in the population get each night. Which of the following is true about the t -distribution as the value of n decreases from 40 to 20 ? The center decreases, and the area in the tails of the distribution increases.The center increases, and the area in the tails of the distribution decreases.The center remains constant, and the area in the tails of the distribution remains constant.The center remains constant, and the area in the tails of the distribution decreases.The center remains constant, and the area in the tails of the distribution increases.A machine in a production line fills packets of rice that are labelled as containing 5kg. The actual weights of the bags of rice is modelled by the distribution X~(μ,σ^2). When working as it should, the machine produces packets of rice with mean weight 5.05kg ( i.e. μ = 5.05). 95% of all packets have weights between 5kg and 5.1kg. The manager of the packaging plant suspects that the machine is no longer working as it should and that the mean weight of a packet is no longer 5.05kg. A sample of 10 packets is selected at random. The packets have the following weights: 5.063kg, 5.088kg, 5.077kg, 5.078kg, 5.104kg, 5.028kg, 5.050kg, 5.057kg, 5.032kg, 5.015kg Complete this hypothesis test at the 1% significance level to see if the machine is no longer performing as it should.A pharmcuticle company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of Mercury) for 9 patients before taking the new drug and 2 hours after taking the drug are shown in the table below. is there enough evidence support the company's claim? Let D =(blood pressure before taking new drug)- (blood pressure after taking new drug).use significant levels of a=their 0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patience both Before & After taking the new drug. 1.State the null and alternative hypothesis for the test. 2. Find the value of the standard deviation of the paired differences. Round to one decimal place. 3.compute the value of the test statistic. Round to three decimal places 4.determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to three decimals. 5.make decision for the hypothesis test.
- A researcher studying the sleep habits of teens will select a random sample of n teens from the population to survey. The researcher will construct a t-interval to estimate the mean number of hours of sleep that teens in the population get each night. Which of the following is true about the t-distribution as the value of n decreases from 40 to 20 ? The center decreases, and the area in the tails of the distribution increases. A The center increases, and the area in the tails of the distribution decreases. B The center remains constant, and the area in the tails of the distribution remains constant. C The center remains constant, and the area in the tails of the distribution decreases. D The center remains constant, and the area in the tails of the distribution increases.A production line produces glass panels with side length having a uniform distribution with mean 5 (fect). Nicola wants to buy 10 glass panels with side length at least 3 feet. What is the expected number of flass panels does he have to look at to find the 10 panels he needs? Note: answer is numerical, no unknown constants. Justify all your stops.Data from a recent year showed that 55% of the tens of thousands of applicants to a certain program were accepted. A company that trains applicants claimed that 135 of the 240 students, it trained that year were accepted. Assume these trainees were representative of the population of applicants. Has the company demonstrated a real improvement over the average? What is the P-value?
- A washing machine manufacturer advertises that the median life of the machines is at least 8 years. A consumer advocacy group located 20 of these machines and found that 12 of them actually lasted less than 8 years, with none of them lasting exactly 8 years. At α =0.05, test the claim that the median life is less than 8 hours. A. What is the test statistic? B. What is the critical value?A researcher wishes to test the claim that the average cost of tuition and fees at a four year public college is greater than $5700. She selects a random sample of 36 four-year public colleges and finds the mean to be $5950. The population standard deviation is $659. Is there evidence to support the claim at 0.05? STEP 2. The critical value (s) is/are: z1 = z2 = (IF THERE IS ONLY ONE CRITICAL VALUE ENTER IT IN THE LEFT BOX AND ENTER NA IN THE RIGHT BOX.)A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 4949 women over the age of 50 used the new cream for 6 months. Of those 4949 women, 3333 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 6060% of women over the age of 50? Test using ?=0.05α=0.05. test statistics ?=z= rejection region ?>z>