9.2.8 Antibiotic Efficacies Eight cultures of a bacterium are split in half. One half is tested using a standard antibiotic and the other half is tested using a new antibiotic. The data values in DS 9.2.8 are the times taken to kill the bacterium. Use an appropriate hypothesis test to assess whether there is any evidence that the new antibiotic is quicker than the standard antibiotic.
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- Current Attempt in Progress Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. An article in Urban Ecosystems, "Urbanization and Warming of Phoenix (Arizona, USA): Impacts, Feedbacks and Mitigation" (2002, Vol. 6, pp. 183-203), mentions that Phoenix is ideal to study the effects of an urban heat island because it has grown from a population of 300,000 to approximately 3 million over the last 50 years and this is a period with a continuous, detailed climate record. The 50-year averages of the mean annual temperatures at eight sites in Phoenix are shown below. Check the assumption of normality in the population with a probability plot. Construct a 99% confidence interval for the standard deviation over the sites of the mean annual temperatures. Site Average Mean Temperature (°C) Sky Harbor Airport 23.3 Phoenix Greenway 21.7 Phoenix Encanto 21.6 21.7 Waddell Litchfield Laveen Maricopa Harlquahala 21.3 i 20.7 20.9 20.1…A regression model involved 8 independent variables and 153 observations. The critical value of t for testing the significance of each of the independent variable's coefficients will have ________ degrees of freedom.Survival Analysis: An observational study is conducted to compare the survival experience of individuals with brain cancer following treatment. Participants undergo treatment and are followed until the time of recurrence, until they are lost to follow-up or up to 40 weeks, whichever comes first. The following table details the experiences of participants undergoing radiotherapy alone or radiotherapy and surgery. The data below are week to recurrence or week of last contact. Using the Kaplan-Meier approach, what is the Survival Probability at the end of 8 weeks for radiotherapy alone? (Hint: set up a table for radiotherapy including columns for time (week), Nt, Dt, Ct, and St+1) Radiotherapy Alone Surgery/Radiotherapy Weeks to recurrence Week of Last Contact (no recurrence) Weeks to recurrence Week of Last Contact (no recurrence) 2 3 2 10 2 4 6 14 2 5 10 21 5 6…
- Survival Analysis: An observational study is conducted to compare the survival experience of individuals with brain cancer following treatment. Participants undergo treatment and are followed until the time of recurrence, until they are lost to follow-up or up to 40 weeks, whichever comes first. The following table details the experiences of participants undergoing radiotherapy alone or radiotherapy and surgery. The data below are week to recurrence or week of last contact. Using the Kaplan-Meier approach, what is the Survival Probability at the end of 34 weeks for surgery/radiotherapy? (Hi nt: set up a table for Surgery/radiotherapy including columns for time (week), Nt, Dt, Ct, and St+1) Radiotherapy Alone Weeks to Surgery/Radiotherapy Weeks to Week of Last Contact (no recurrence) Week of Last Contact (no Irecurrence recurrence recurrence) 10 3 2 2. 4 6 14 10 21 5 23 29 8 32 34Survival Analysis: An observational study is conducted to compare the survival experience of individuals with brain cancer following treatment. Participants undergo treatment and are followed until the time of recurrence, until they are lost to follow-up or up to 40 weeks, whichever comes first. The following table details the experiences of participants undergoing radiotherapy alone or radiotherapy and surgery. The data below are week to recurrence or week of last contact. Using the Kaplan-Meier approach, what is the Survival Probability at the end of 8 weeks for radiotherapy alone? (Hint: set up a table for radiotherapy including columns for time (week), Nt, Dt, Ct, and St+1) Radiotherapy Alone Weeks to Surgery/Radiotherapy Weeks to Week of Last Contact (no recurrence) Week of Last Contact (no recurrence recurrence recurrence) 3 2 10 2. 4. 14 2 5 10 21 5 23 29 8 32 34The value of the ___________ is used to estimate the value of the population parameter.
- Chocolate Chip Cookie Calories The average 1-ounce chocolate chip cookie contains 110 calories. A random sample of 14 different brands of 1- ounce chocolate chip cookies resulted in the following calorie amounts. At the a=0.10 level, is there sufficient evidence that the average calorie content is greater than 110 calories? Assume the population is normally distributed. 100 105 160 110 Send data to Excel Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: 110 claim H₁: 110 not claim This hypothesis test is a one-tailed Correct Answer: Ho: μ = 110 not claim H₁: μ> 110 claim This hypothesis test is a one-tailed test. Part 2 of 5 Correct Answer: (b) Find the critical value(s). Round the answer to three decimal places, if necessary. If there is more than one critical value, separate them with commas. Critical value(s): 2.624) Critical value: 1.350 115 115 150 120 190 120 152 100 135 153 Part: 2 / 5 Part 3 of 5 t = test. (c) Compute the test value. Round the sample statistics…Hypothesis Testing Question Option #2: 2. Is there a statistically significant difference between Idaho and Montana in terms of the proportion of the adult population that has been vaccinated for COVID-19? The proportion of citizens from each state that have reported being fully vaccinated is below. Results are from representative samples. Use the five step model and write a sentence or two interpreting your results (use p= .01, Z(critical) = ± 2.58). Idaho Montana Ps1 = .42 Ps2 = .49 N1 = 425 N2 = 281A regression model involving 4 independent variables and a sample of 15 periods resulted in the following sum of squares:SSR = 165SSE = 60The test statistic from the information provided is _____. a. 4.710 b. 6.875 c. 2.110
- An experiment that was carried out to study how flow rate through a solenoid valve in an automobile's pollution-control system depended on three factors: armature lengths, spring load, and bobbin depth. Four different levels (low, moderate, high, and extreme) of each factor were chosen, and a single observation on flow was made for each combination of levels. The resulting data set consisted of how many observations? Show how you derived your answer.2 3 4 C Il₁ O !!! Edit View Insert Format Tools Extensions Help Accessibility 5 2 3 4 5100% Normal text | Arial |- File T Female I 270 Male 230 Total 500 Y T L 2 14. Using the following data, calculate the x2, the degrees of freedom, and the effect size. Would the researcher accept or reject the null hypothesis? What does the effect size indicate? Stricter Laws Against Animal Abusers Gender Total 12 + BI U AG C 3 For 180 60 240 M 5 31 Against 90 170 260 III L → = = = EYE: 21 (part 1). Does When Food Is Eaten Affect Weight Gain?A study was introduced that examined the effect of light at night on weight gain in mice. In the full study of 27 mice over a four-week period, the mice who had a light on at night gained significantly more weight than the mice with darkness at night, despite eating the same number of calories and exercising the same amount. Researchers noticed that the mice with light at night ate a greater percentage of their calories during the day (when mice are supposed to be sleeping). The computer output shown below allows us to examine the relationship between percent of calories eaten during the day, DayPct, and body mass gain in grams, BMGain. A scatterplot with regression line is also shown below (attached image).Pearson correlation of BMGain and DayPct =0.740P-Value =0.000--------------------------------------------------------------The regression equation isBMGain=1.11+0.127DayPct Predictor Coef SE Coef T P Constant 1.113 1.382…