A certain population follows a normal distribution with mean µ and standard deviation 0.68 you collect data on 4 members and test the hypothesis Ho µ = 100 ,H,> 100 The calculated value of the test statistic is z= 2.42 then P- value = 0.9922 O 0.0125 O 0.0078 none 0.0156 O 0.9868
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- Q2: Serum amylase determinations were made on a sample of 15 apparently healthy subjects in the Electricity Power Plant of Nasriya January 2010. The sample yielded a mean of 96 and a standard deviation of 35 units/100ml. Estimate the true mean of serum amylase in the healthy population of Nasriya.Q/ In the vehicle speed test, the results are given in the table below: Find 1. Arithmetic mean 2. Standard deviation 3. Skew coefficient 4. Kurtosis coefficient * Speed range (km/hr Speed range (km/hr Frequency(fi) Speed range (km/hr Frequency(fi) Frequency(fi) 34-35.9 4 44-45.9 22 54-55.9 13 36-37.9 46-47.9 8 56-57.9 8 38-39.9 48-49.9 18 58-59.9 40-41.9 10 50-51.9 17 60-61.9 42-43.9 7 52-53.9 16 62-63.9Find the standardized test statistic t for a sample with n = 20, x=6.8, s= 2.0, and o = 0.05 if Hau < 7.2, Round your answer to three decimal places.
- A new material will replace the old material only if there is significant evidence that the mean strength of the new material is more than 2 units higher than the mean strength of the old material. Sample from new material: mean is 98.064 , SD is 5.6 and sample size is 13 Sample from old material: mean is 95.282 , SD is 5.8 and sample size is 78 We do not know population standard deviations. Consider the test ?0:????−????=2H0:μnew−μold=2 vs. ?0:????−????>2H0:μnew−μold>2 What is the p-value? (Hint: best to use software, or else the Desmos Calculator for the 2 sample T and Z test) Give as a decimal between 0 and 1 accurate to at least 4 decimal places.carbon monoxide in the air in U.S. cities is less than 2.32 parts per million. It was found that the mean amount Test a claim that the mean amount e standard deviation is 2.12 parts per million. At a = 0.05, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. carbon monoxide in the air for the random sample of 64 cities is 2.41 parts per million and the (a) Identify the claim and state Ho and H. Which of the following correctly states Ho and H? AA :°H "H (Type integers or decimals. Do not round.) The claim is the V hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to =U- (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the graph which shows the rejection region. O B. "a O of (c) Find the standardized test statistic, t. The standardized test statistic is t=- (Round to two decimal nlaces as neadedA certain population follows a normal distribution with mean u and standard deviation 0.68 you collect data on 4 members and test the hypothesis Ho U= 100,H, u< 100 The calculated value of the test statistic IS Z=2.42 then P-value. 0.0072 0,0156 2.9868
- The grade point averages (GPAS) of a large population of college students are approximately normally distributed with mean 2.4 and standard deviation 0.8. What fraction of the students will possess a GPA in excess of 2.5? (keep four decimal places) What fraction of the students will possess a GPA not greater 2.07 (keep four decimal places)In a test, the average score is 100. You believe that the average score for your class is higher. You took a sample of 30 students. The average score for this group is 140 with a standard deviation of 15. Test the hypothesis that the average score is greater. Use a = The rejection region for the test statistic is... .05. less than -1.959963985 and greater than 1.959963985 less than - 2.045229642 and greater than 2.045229642 less than - 1.644853627 and greater than 1.644853627 none of the above O O O OA random sample of n1 = 49 measurements from a population with population standard deviation ?1 = 3 had a sample mean of x1 = 10. An independent random sample of n2 = 64 measurements from a second population with population standard deviation ?2 = 4 had a sample mean of x2 = 12. Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain. The Student's t. We assume that both population distributions are approximately normal with known standard deviations.The standard normal. We assume that both population distributions are approximately normal with known standard deviations. The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. (b) State the hypotheses. H0: ?1 = ?2;…
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