Hyperhidrosis is a stressful medical condition characterized by chronic excessive sweating. Botox was approved for treatment of hyperhidrosis in adults in 2004. A clinical trial examined the effectiveness of Botox for excessive armpit sweating in teenagers aged 12 to 17 years. Participants received either a Botox injection or a placebo injection (a simple saline solution) and were examined four weeks later to see if their sweating had been reduced. Here are the study's findings: Botox Placebo Total Reduced Confidence Interval: 70 68 138 Not Reduced 30 132 162 Total 100 200 300 Construct a 80% confidence interval for P₁ P2 where p₁ denotes the proportion of teenagers who experienced a reduction in sweating in the Botox group and p2 denotes the proportion of teenagers who experienced a reduction in sweating in the placebo group. Round your answers to three decimal places, and use four decimal places for any interim calculations. We are 80% confident that there Select an answer a difference in the proportion of teenagers with hyperhidrosis who experienced a reduction in sweating.

Researchers were interested in assessing whether stress levels are different at the beginning of the semester compared to finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week.   Participant Stress 1 Stress 2 1 22 22 2 32 34 3 24 25 4 28 30 5 26 29   What are the df?

Vitamin D is important for maintaining strong bones by helping the body absorb calcium from food and sup-plements. The recommended amount of vitamin D is 400 IU (international units) per day. Many people take vitamin D supplements, often at levels greatly exceeding the recommended daily amount. What is the effect of taking too much vitamin D? Researchers investigated this in a double-blind randomized clinical trial. Subjects were divided into three groups. One, consisting of 109 subjects, took 400 IU per day for three years. second group, consisting of 100 subjects, took 4,000 IU per day for three years. A third group, consisting of 102 subjects, took 10,000 IU per day for three years. The total volumetric bone mass density of the tibia (the large bone located in the lower front portion of the leg, sometimes referred to as the shinbone) was measured in order to assess the effect of the different dosages of Vitamin D.11 The degrees of freedom for the ANOVA F statistic comparing the mean…

A study is run to estimate the incidence of atrial fibrillation (AF) in men and women over the age of 60. Development of atrial fibrillation was monitored over a 10-year follow-up period. The data are summarized below. Using this data, compute the cumulative incidence of AF in men and in women, the relative risk of AF incidence comparing men to women, and the odds ratio of AF incidence comparing men and women.     Developed AF Did not Develop AF Men 120 6453 Women 86 7074

You are part of a research team in the newly formed University of California Center for Climate, Health and Equity. The team is interested in studying whether California adults experience levels of inflammation from wildfire smoke that are different compared to the US as a whole. Previous studies reported an average c-reactive protein (CRP) (a measure of systemic inflammation) of 8.2 mg/L among US adults. You obtain a sample of 100 Califor- nia adults and find that their average CRP is 9.0 with a sample standard deviation of 2.0 mg/L. 1.1 State the null and alternative hypotheses using mathematical notation in the context of this question. Но : НА: 1.2 Calculate the 95% confidence interval for the average CRP for California adults. Assume a critical value of 1.98 and round your answer to 2 decimal places. work:

How long it takes paint to dry can have an impact on the production capacity of a business. An auto body & paint business invested in a paint-drying robot to speed up its process. An interesting question is, "Do all paint-drying robots have the same drying time?" To test this, suppose we sample five drying times for each of different brands of paint-drying robots. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. Suppose the following data were obtained. Robot 1 Robot 2 Robot 3 Robot 4 128 143 133 150 136 133 143 142 135 143 138 134 125 145 137 141 136 126 124 148 At the ? = 0.05 level of significance, test to see whether the mean drying time is the same for each type of robot. Find the value of the test statistic. (Round your answer to two decimal places.)   Find the p-value. (Round your answer to four decimal places.) p-value =

A recent study investigated whether the number of positive health behaviors (e.g., exercising, eating healthy) is predictive of a person's score on a happiness index, such that as positive health behaviors go up, happiness goes up. The results from the study, which was conducted with 12 people, were as follows: r = 0.63 and SSY = 56.0. What is the MSregression? What is the MSresidual? What is the calculated test statistic? Given the value of your calculated test statistic and your critical test statistic, do you reject the null?

A psychologist decided to study whether rocking babies in a mechanical baby rocker would affect weight gain.  To test this, 8  premature babies at a local hospital were selected to participate in the experiment.  The babies were rocked for 10 minutes a day for a week and then weighed.  Then the same babies were rocked for 30 minutes a day for a week and then weighed.  The change in their weight across the week was measured in ounces.  The data and analyses of the t-test, are given below. Note that the difference scores are analyzed as 30-Min minus 10-Min.          Baby    Rocked 30 Min   Rocked 10 Min    D = 30 – 10        D2        1              27.6                 29.7                           -2.1                4.41        2              25.4                 28.5                           -3.1                9.61        3              30.5                 39.8                           -9.3                86.49        4              33.8                 38.8…

We are testing whether a particular program of low impact exercise can improve the cholesterol level of stroke patients. We enroll a group of stroke patients in our study, and after six weeks we measure their serum cholesterol level in mmol/L, resulting in the following data: 7.1 7.4 8.7 4.7 4.6 3.9 4.6 7.1 9.1 7.2 8.6 8.1 6.3 8 5.9 8.5 8.4 8 7.4 5.9 4.6 3.8 5.4 8.1 7.7 9.3 7.8 5.3 9 7.2 8.1 6.1 8.6 9.5 7.8 7.6 7.4 4.1   Construct a 92% confidence interval

Are seatbelts effective at saving lives? We wish to examine whether or not the use of seatbelts reduces fatalities at the a = 0.01 level of significance. Let pN represent the proportion of non-seatbelt wearing passengers who were involved in a crash and died and py represent the proportion of seatbelt wearing passengers who were involved in a crash and died. NOTE: The data used in this study were obtained through observational study...no experiment was conducted! Which would be correct hypotheses for this test? O Ho:PN = pY, H1:PN > pY Ho: PN = pY, H,:PN Py In a random sample of 321 non-seatbelt wearing passengers involved in a car crash, 30 were killed. In a random sample of 492 seatbelt wearing passengers involved in a car crash, 13 were killed. Find the test statistic (2 decimal places): Give the P-value (4 decimal places - if less than 0.001 answer 0): Which is the correct result: Reject the Null Hypothesis O Do not Reject the Null Hypothesis Which would be the appropriate…