The following hypothesis is being tested: Ho: H= 30 vs. H1: #30, data points yields a sample mean of 30.36 and a sample standard deviation of 1.6. What is the p-value or observed significance level for this test? .05 O 0.0359 O 0.0718 O 10
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- EXAMPLE: A soft drink distributor is interested to find out if the number of cases of soft drinks ordered is related to the travel time they are delivered. The following data have been obtained from past experience. Number of Cases of Soft Drinks (X) Travel Time in Minutes (Y) 24 21 6 3 16 6 64 15 10 21 25 61 35 20 X Y 24 21 6 3 16 6 64 15 10 21 25 61 35 20 EX=180 EY=147 XY 504 ΣΧΥ = X² 576 y² 441 [Y²=Two samples of 6 and 5 items respectively gave the following data : Mean of 1st sample 40 Standard deviation of 1st sample Mean of the second sample 50 Standard deviation of the 2nd sample 10 Is the difference of means significant ? The value of t for 9 degress of freedom at 5% level is 2.26Consider the following set of data. Sample Size Mean Standard Deviation Group 1 100 13,000 345 Group 2 80 12,850 500 Assume that the samples come from normal populations. Find the value of the test statistic used for testing the hypotheses Ho: 1 - 2 = 0 versus H - As 70. Ot = - 3.02 Ot = - 2.45 Ot = - 2.81 Ot = - 2.28 O None of the above.
- Americans are about 1 inch taller but nearly 25 pounds heavier than in 1960. The average BMI increased from approximately 25 to 28 in 2002. Boston is considered one of americas healthiest cities. Is the weight gain since 1960 similar in boston? Sample of n=25 and mean increase of 17 with standard deviation of 8.6. Is boston statistically significantly different in terms of weight gain since 1960? Run the appropriate test at 5%level of significance. A.state the null and the research hypotheses, b. Idebtify critical values of z 9r t used to define the decision rule, c. Calculate the test statistic, d. Report the p-value, e. Report your findings2. According to the National Association of Home Builders, the average cost of building a home in the Northeast is $ 117.91 per square foot. A random sample of 36 new homes indicated that the mean cost was $122.57 and the standard deviation was $20. Can it be concluded that the mean cost differs from SI17.91, using 0.10 level of significance? i. Ho: Ha: ii. Do a -test at a= iii.Decision Rule: Reject Ho if iv.ComputationsDuring an economic crisis, the average value of homes in a community of 36 homes lost $9445 with a standard deviation of $1300. The average home value in the region lost $8990. Was this community of 36 homesunusual? Use a t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test. H0: μ ▼ not equals≠ equals= greater than> less than< nothing HA: μ ▼ equals= greater than> not equals≠ less than< nothing The test statistic is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What is the conclusion of the test? Was the average loss observed significantly different from the region value? ▼ Reject Fail to reject the null hypothesis because the P-value is ▼ greater less than the given significance level, and conclude that the…
- A 0.05 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender selection, the proportion of baby girls is greater than 0.5. Assume that sample data consists of 78 girls in 144 births, so the sample statistic of 1324 results in a z score that is 1 standard deviation above 0. Complete parts (a) through (h) below.Click here to view page 1 of the Normal table. LOADING... Click here to view page 2 of the Normal table. LOADING...Question content area bottomPart 1a. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below.Part 4d. Is the test two-tailed, left-tailed, or right-tailed? Left-tailed Right-tailed Two-tailedPart 5e. What is the value of the test statistic?The test statistic is enter your response here. (Type an integer or a decimal.)Part 6f. What is the P-value?The P-value is enter your response here. (Round to four decimal places as needed.)During an economic crisis, the average value of homes in a community of 36 homes lost $9284 with a standard deviation of $1450. The average home value in the region lost $8790. Was this community of 36 homes unusual? Use a t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test. H0: μ ▼ less than< greater than> equals= not equals≠ nothing HA: μ ▼ less than< not equals≠ greater than> equals= nothing The test statistic is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What is the conclusion of the test? Was the average loss observed significantly different from the region value? ▼ Fail to reject Reject the null hypothesis because the P-value is ▼ greater less than the given significance level, and conclude that the…A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 94 bolts. The sample mean bolt length was 19.06 centimeters. The population standard deviation is known to be o = 0.26 centimeters. What is the test statistic z? Ex: 1.23 What is the p-value? Ex. 0.123 Does sufficient evidence exist that the length of boltş is actually greater than the mean value at a significance level of a = 0.01?[ Select v
- Only need help with finding tcalc.Suppose two samples of subjects yield the following results : Sample1 Age 28 Mean weight 66.2 kg Standard 5 kg deviation Sample 2 Age 13 Mean weight 37.2 kg Standard Deviation 5kg Which has a greater dispersion (variability) the weight of the 28 years old or the weight of 13 years old?You wish to test the following daim (H.) at a significance level of a = 0.005. H.:µ = 83.8 Ha:µ < 83.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 71.4 and a standard deviation of SD = 17.1. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null fail to reject the null As such, the final condusion is that... O There is sufficient evidence to warrant rejection of the daim that the population mean is less than 83.8. O There is not sufficient evidence to warrant rejection of the daim that the population mean is less than 83.8. O The sample data support the daim that the population mean is less than…