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- Suppose X~N(177,17) and Z~N(0,1). If z = 0.75, what is it on an X scale? Express your answer to two decimal places (ex: 123.45).Many college and university students obtain summer jobs. A professor wanted to determine whether students in different degree programs earn different amounts. She randomly selected five students in each of the 5 university programs and asked them to report what they earned the previous summer (in thousands of dollars). The following partially filled in ANOVA table was obtairned. Fill-in the rest of the table. (Use exact values for df and round all other nurmbers to 2 decimal places, if needed) Source SS MS F-Stat JP. Treatments 11.8 Error Total 25.6 CheckDetermine the difference between the fourth moment about the origin (10) and the fourth moment about the mean for the ?(set of numbers (2, 12, 22, 32 39151 22353 O 22750 O 11250 O 55122 O
- It is commonly believed that the mean body temperature of a healthy adult is 98.6∘F98.6∘F. You are not entirely convinced. You believe that it is not 98.6∘F98.6∘F. You collected data using 36 healthy people and found that they had a mean body temperature of 98.21∘F98.21∘F with a standard deviaiton of 1.18∘F1.18∘F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F.a) Identify the null and alternative hypotheses?H0H0: ? p = p ≠ p < p > p ≤ p ≥ μ = μ ≠ μ < μ > μ ≤ μ ≥ H1H1: ? p = p ≠ p < p > p ≤ p ≥ μ = μ ≠ μ < μ > μ ≤ μ ≥ b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level.d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.e) Calculate your p-value. Write the result below, and be sure to round your final answer…A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 185 170 179 191 194 179 9 Height (cm) of Main Opponent 170 184 174 166 194 182 Identify the test statistic. t= 0.57 (Round to two decimal places as needed.) Identify the P-value P-value = 0.286 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, fail to reject the null hypothesis. There is not sufficient evidence to support the claim that presidents tend to be taller than their opponents. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval…Suppose X~N(186,19) and Z~N(0,1). If z = 1.24, what is it on an X scale? Express your answer to two decimal places (ex: 123.45).
- Please ans this with in 30 min correctly to get a thumbs up! Please show neat and clean work .Thank you.An author claimed that his annual book sales increased after the year 2000. Past data indicates that the average annual sales for his books are Php 200 M (200 million pesos). The data for the annual sales are normally distributed as shown (in million peso): 2000: 50 2001: 782006: 4002011: 1892016: 83 2002: 3002007: 2902012: 2052017: 132 2003: 2502008: 932013: 3722018: 173 2004: 2002009: 1522014: 4262019: 195 2005: 1852010: 2372015: 252020: 450 Are the author's words true at 98% confidence? In your complete solution, state the null and alternative hypothesis and the complete calculation of test statistic.Determine the missing value by interpolation x 1.25 1.35 1.45 1.55 1.65 1.75 f(x) 0.5647 0.6339 ? 0.8011 0.8775 0.9234 2. x 12 14 16 18 20 22 24 f(x) 1.335 ? 2.116 3.542 ? 5.708 6.342